Nucleon resonances extracted from Bonn-Gatchina … NSTAR Plenary... · Nucleon resonances...
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Nucleon resonances extracted from Bonn-Gatchina coupled channel analysis NSTAR 2011 1 Petersburg Nuclear Physics Institute Nucleon resonances extracted from Bonn-Gatchina coupled channel analysis A. Sarantsev HISKP (Bonn), PNPI (Russia) NSTAR 2011 17-20 May 2011, JLAB, USA
Transcript of Nucleon resonances extracted from Bonn-Gatchina … NSTAR Plenary... · Nucleon resonances...
Nucleon resonances extracted from Bonn-Gatchina coupled channel analysis NSTAR 2011 1
Petersburg
Nuclear
Physics
Institute
Nucleon resonances extracted fromBonn-Gatchina coupled channel
analysis
A. Sarantsev
HISKP (Bonn), PNPI (Russia)
NSTAR 201117-20 May 2011, JLAB, USA
Nucleon resonances extracted from Bonn-Gatchina coupled channel analysis NSTAR 2011 2
Bonn-Gatchina partial wave analysis group:
A. Anisovich, E. Klempt, V. Nikonov, A. Srantsev, U. Thoma
http://pwa.hiskp.uni-bonn.de/
Nucleon resonances extracted from Bonn-Gatchina coupled channel analysis NSTAR 2011 3
Search for baryon states
1. Analysis of single meson and double meson photoproduction reactions.
γp → πN, ηN, KΛ, KΣ, ππN, πηN , CB-ELSA, CLAS, GRAAL, LEPS.
2. Analysis of single meson and double meson pion-induced reactions.
πN → πN, ηN,KΛ,KΣ, ππN .
Search for meson states
1. Analysis of the pp annihilation at rest and ππ interaction data.
2. Analysis of the pp annihilation in flight into two and tree meson final state.
3. Analysis of the J/Ψ decays (BES III collaboration).
Analysis of NN interaction
1. Analysis of single and double meson production NN → πNN and ππNN
2. Analysis of hyperon production NN → KΛp
Nucleon resonances extracted from Bonn-Gatchina coupled channel analysis NSTAR 2011 4
Energy dependent approach
In many cases an unambiguous partial wave decomposition at fixed energies is
impossible. Then the energy and angular parts should be analyzed together:
A(s, t) =∑
ββ′n
Aββ′n (s)Q(β)+
µ1...µnFµ1...µn
ν1...νnQ(β′)
ν1...νn
1. C. Zemach, Phys. Rev. 140, B97 (1965); 140, B109 (1965).
2. S.U.Chung, Phys. Rev. D 57, 431 (1998).
3. A.V. Anisovich et al. J. Phys. G 28 15 (2002)
V. V. Anisovich, M. A. Matveev, V. A. Nikonov, J. Nyiri and A. V. Sarantsev,
Hackensack, USA: World Scientific (2008) 580 p
1. Correlations between angular part and energy part are under control.
2. Unitarity and analyticity can be introduced from the beginning.
3. Parameters are be fixed from combined fit of many reactions.
Nucleon resonances extracted from Bonn-Gatchina coupled channel analysis NSTAR 2011 5
πN vertices
N+µ1...µn
= X(n)µ1...µn
N−µ1...µn
= iγνγ5X(n+1)νµ1...µn (1)
γN vertices
Q(1+)µα1...αn = γµiγ5X
(n)α1...αn , Q
(1−)µα1...αn = γξγµO
(n+1)ξα1...αn
,
Q(2+)µα1...αn = γνiγ5X
(n+2)µνα1...αn , Q
(2−)µα1...αn = X
(n+1)µα1...αn ,
Q(3+)µα1...αn = γνiγ5X
(n+1)να1...αng⊥µαn
, Q(3−)µα1...αn = X
(n−1)α2...αng⊥α1µ .
Fermion propagator for J = N + 12
Fµ1...µLν1...νL
(p) = (m+p)Oµ1...µLα1...αL
L + 12L+1
(g⊥α1β1
− L
L+1σα1β1
) L∏
i=2
gαiβiOβ1...βLν1...νL
σαiαj =12(γαiγαj − γαj γαi)
Nucleon resonances extracted from Bonn-Gatchina coupled channel analysis NSTAR 2011 6
Combined analysis of pion- and photo-production data:
For pion induced reactions:
A1i = K1j(I − iρK)−1ji
and
Kij =∑α
gαi gα
j
M2α − s
+ fij(s) fij =f
(1)ij + f
(2)ij
√s
s− sij0
.
where fij is nonresonant transition part.
For the photoproduction:
Ak = Pj(I − iρK)−1jk
The vector of the initial interaction has the form:
Pj =∑α
Λαgαj
M2α − s
+ Fj(s)
Here Fj is nonresonant production of the final state j.
Nucleon resonances extracted from Bonn-Gatchina coupled channel analysis NSTAR 2011 7
Reggezied exchanges:
)t(kρ
)2(qπ
)1p(k )1p(q
)2(kγ
)uN(k
)2(qπ)1p(k
)1p(q)2(kγ
The amplitude for t-channel exchange:
A = g1(t)g2(t)R(ξ, ν, t) = g1(t)g2(t)1 + ξexp(−iπα(t))
sin(πα(t))
ν
ν0
α(t)
ν =1
2(s− u).
Here α(t) is Reggion trajectory, and ξ is its signature:
R(+, ν, t) =e−i π
2 α(t)
sin(π2α(t))Γ
α(t)2
ν
ν0
α(t)
,
R(−, ν, t) =ie−i π
2 α(t)
cos(π2α(t))Γ
α(t)2
+ 12
ν
ν0
α(t)
.
Nucleon resonances extracted from Bonn-Gatchina coupled channel analysis NSTAR 2011 8
N/D based analysis of the data
In the case of resonance contributions only we have factorization and Bethe-Salpeter
equation can be easily solved:
J m J K m δJKπ η K
π η K
Ajm = Ajk
Xα
Bkmα (s)
1
Mm − s+
δjm
M2j − s
Bkmα (s) =
∞Z
4m2α
ds′
π
g(k)α (s′)ρα(s′)g(m)
α (s′)s′ − s− i0
A = κ(I − Bκ)−1 κij =δij
M2i − s
Bij =X
α
Bkmα (s)
There is no factorization for non-resonant contributions: for every non-resonant
transition to introduce a vertices and propagator (e.g. R = 1).
Bkmα (s) = Bkm
α (M2s ) + (s−M2
s )
∞∫
4m2α
ds′
π
g(k)α (s′)ρα(s′)g(m)
α (s′)(s′ − s− i0)(s′ −M2
s )
Nucleon resonances extracted from Bonn-Gatchina coupled channel analysis NSTAR 2011 9
Data BasePion induced reactions ( χ2 analysis).
Observable Ndataχ2
NdataObservable Ndata
χ2
NdataN∗
1/2− S11(πN→πN) 112 2.05 SAID (2.10) ∆1/2− S31(πN→πN) 112 2.31 SAID (2.10)
N∗1/2+ P11(πN→πN) 112 2.49 SAID (2.10) ∆1/2+ P31(πN→πN) 104 3.81 SAID (2.10)
N∗3/2+ P13(πN→πN) 112 1.33 SAID (2.20) ∆∗
3/2+ P33(πN→πN) 120 2.79 SAID (2.20)
N∗3/2− D13(πN→πN) 108 2.55 SAID (2.20) ∆∗
3/2− D33(πN→πN) 108 2.47 SAID (2.10)
N∗5/2− D15(πN→πN) 140 2.37 SAID (2.40) N∗
7/2− G17(πN→πN) 102 2.54 SAID (2.40)
N∗5/2+ F15(πN→πN) 88 1.72 SAID (2.20) ∆5/2+ F35(πN→πN) 62 1.45 SAID (2.10)
N∗7/2+ F17(πN→πN) 82 1.98 SAID (2.50) ∆7/2+ F37(πN→πN) 72 2.75 SAID (2.10)
N∗9/2− G19(πN→πN) 74 2.82 SAID (2.50) N∗
9/2+ H19(πN→πN) 86 2.56 SAID (2.50)
dσ/dΩ(π−p→nη) 70 1.58 Richards et al. dσ/dΩ(π−p→nη) 84 2.73 CBALL
dσ/dΩ(π−p→KΛ) 598 1.67 RAL P (π−p→KΛ) 355 1.67 RAL+ANL
β(π−p→KΛ) 72 1.04 RAL
dσ/dΩ(π+p→K+Σ) 609 1.25 RAL P (π+p→K+Σ) 307 1.43 RAL
β(π+p→K+Σ) 7 2.08 RAL
dσ/dΩ(π−p→K0Σ0) 259 0.88 RAL P (π−p→K0Σ0) 95 1.35 RAL
Nucleon resonances extracted from Bonn-Gatchina coupled channel analysis NSTAR 2011 10
Data Baseπ and η photoproduction reactions ( χ2 analysis).
Observable Ndataχ2
NdataObservable Ndata
χ2
Ndatadσ/dΩ(γp→pπ0) 1106 1.56 CB-ELSA dσ/dΩ(γp→pπ0) 861 1.58 GRAAL
dσ/dΩ(γp→pπ0) 592 1.27 CLAS dσ/dΩ(γp→pπ0) 1692 2.00 TAPS@MAMI
Σ(γp→pπ0) 540 0.71 CB-ELSA Σ(γp→pπ0) 1492 2.48 SAID db
E(γp→pπ0) 140 1.14 A2-GDH
P(γp→pπ0) 607 2.98 SAID db T(γp→pπ0) 389 3.15 SAID db
H(γp→pπ0) 71 1.17 SAID db G(γp→pπ0) 75 1.70 SAID db
Ox(γp→pπ0) 7 1.14 SAID db Oz(γp→pπ0) 7 0.27 SAID db
dσ/dΩ(γp→nπ+) 484 1.45 CLAS dσ/dΩ(γp→nπ+) 1583 1.53 SAID db
dσ/dΩ(γp→nπ+) 408 0.55 A2-GDH
Σ(γp→nπ+) 899 2.95 SAID db E(γp→nπ+ 231 1.52 A2-GDH
P(γp→nπ+) 252 2.00 SAID db T(γp→nπ+) 661 2.87 SAID db
H(γp→pπ+) 71 4.20 SAID db G(γp→pπ+) 86 5.67 SAID db
dσ/dΩ(γp→pη) 680 1.23 CB-ELSA dσ/dΩ(γp→pη) 100 2.26 TAPS
Σ(γp→pη) 51 1.90 GRAAL 98 Σ(γp→pη) 100 2.43 GRAAL 07
T (γp→pη) 50 1.39 Phoenics
Nucleon resonances extracted from Bonn-Gatchina coupled channel analysis NSTAR 2011 11
Data BaseKaon photoproduction ( χ2 analysis).
Observable Ndataχ2
NdataObservable Ndata
χ2
Ndatadσ/dΩ(γp→ΛK+) 1320 0.78 CLAS09 dσ/dΩ(γp→Σ0K+) 1280 1.98 CLAS
P(γp→ΛK+) 1270 1.75 CLAS09 P(γp→Σ0K+) 95 1.53 CLAS
Cx(γp→ΛK+) 160 1.44 CLAS Cx(γp→Σ0K+) 94 2.36 CLAS
Cz(γp→ΛK+) 160 1.53 CLAS Cz(γp→Σ0K+) 94 1.62 CLAS
Σ(γp→ΛK+) 66 3.32 GRAAL Σ(γp→Σ0K+) 42 1.80 GRAAL
Σ(γp→ΛK+) 45 2.34 LEP Σ(γp→Σ0K+) 45 1.31 LEP
T(γp→ΛK+) 66 1.35 GRAAL 09 dσ/dΩ(γp→Σ+K0) 48 3.41 CLAS
Ox(γp→ΛK+) 66 1.70 GRAAL 09 dσ/dΩ(γp→Σ+K0) 72 0.67 CB-ELSA 10
Oz(γp→ΛK+) 66 1.66 GRAAL 09 P(γp→Σ+K0) 24 1.17 CB-ELSA 10
P(γp→ΛK+) 84 0.60 GRAAL Σ(γp→Σ+K0) 15 1.39 CB-ELSA 10
Nucleon resonances extracted from Bonn-Gatchina coupled channel analysis NSTAR 2011 12
Data Base
Multi-meson final states (maximum likelihood analysis).
dσ/dΩ(π−p→nπ0π0) CBALL
dσ/dΩ(γp→pπ0π0) CB-ELSA (1.4 GeV) E(γp→pπ0π0) 16 1.91 MAMI
dσ/dΩ(γp→pπ0η) CB-ELSA (3.2 GeV) Σ(γp→pπ0η) 180 2.37 GRAAL
dσ/dΩ(γp→pπ0π0) CB-ELSA (3.2 GeV) Σ(γp→pπ0π0) 128 0.96 GRAAL
dσ/dΩ(γp→pπ0η) CB-ELSA (3.2 GeV) Σ(γp→pπ0η) 180 2.37 GRAAL
Ic(γp→pπ0η) CB-ELSA (3.2 GeV) Is(γp→pπ0η) CB-ELSA (3.2 GeV)
Nucleon resonances extracted from Bonn-Gatchina coupled channel analysis NSTAR 2011 13
The fit of the the π−p → KΛ reaction
Full experiment for πN → KΛ:
differential cross section, analyzing
power, rotation parameter.
A clear evidence for resonances which
are hardly seen (or not seen) in
the elastic reactions : N(1710)P11,
N(1900)P13,0
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
1700 1800 1900 2000 2100 2200
1/2 1/2 −1/2 1/2 +1/2 3/2 +
M(πp), MeV
σtot, mb
The total cross section for the reaction
π−p → K0Λ and contributions from
leading partial waves.
Nucleon resonances extracted from Bonn-Gatchina coupled channel analysis NSTAR 2011 14
π−p → KΛ (dσ/dΩ, P, β)
0
0.11632
dσ/dΩ, mb/sr1661 1670
0
0.11676 1678 1681
0
0.11684 1686 1687
0
0.11689 1693 1698
0
0.11701 1707 1743
0
0.051758 1792 1825
0
0.051847 1879 1909
0
0.051938 1966 1999
0
0.052027 2059 2104
cos θcm
0
0.052159
0 0.5-0.5
2183
0 0.5-0.5
2208
0 0.5-0.5
-1
0
1
1633
P
1661 1683
-1
0
1
1694 1724 1758
-1
0
1
1792 1825 1847
-1
0
1
1879 1909 1938
-1
0
1
1966 1999 2027
0 0.5-0.5
cos θcm-1
0
1
2059
0 0.5-0.5
2104
0 0.5-0.5
-5
-2.5
0
2.5
5
W=1851
β, rad
W=1940 W=2030
-5
-2.5
0
2.5
5
W=2062 W=2107
0 0.5-0.5
W=2159
0 0.5-0.5
cos θcm-5
-2.5
0
2.5
5
W=2261
0 0.5-0.5
Nucleon resonances extracted from Bonn-Gatchina coupled channel analysis NSTAR 2011 15
The γp → KΛ reaction (CLAS 2009)
0
0.5
1
1.5
2
2.5
3
1600 1800 2000 2200 2400
1/2 1/2 −1/2 1/2 +1/2 3/2 +1/2 5/2 +
M(γp), MeV
σtot, µb
0
0.5
1
1.5
2
2.5
3
1600 1800 2000 2200 2400
1/2 1/2 −1/2 1/2 +1/2 3/2 +1/2 5/2 +
M(γp), MeV
σtot, µb
Nucleon resonances extracted from Bonn-Gatchina coupled channel analysis NSTAR 2011 16
The fit of the γp → KΛ differential cross section
(CLAS 2009)
0
0.21625
dσ/dΩ, µb/sr1635 1645 1655 1665
0
0.25
1675 1685 1695 1705 1715
0
0.25
1725 1735 1745 1755 1765
0
0.25
1775 1785 1795 1805 1815
0
0.25
1825 1835 1845 1855 1865
0
0.25
1875 1885 1895 1905 1915
0
0.25
1925 1935 1945 1965 1975
0
0.25
1985 1995 2005 2015 2025
0
0.25
2035 2045 2055 2065 2075
0
0.25
2085 2095 2105 2115 2125
0
0.2
2135 2145 2155 2165 2175
0
0.2
2185 2195 2205 2215 2225
0
0.2
2235 2245 2255 2265 2275
0
0.2
2285 2295 2305 2315 2325
0
0.2
2335
-0.5 0 0.5
2345
-0.5 0 0.5
2355
-0.5 0 0.5
2365
-0.5 0 0.5
2375
-0.5 0 0.5
cos θcm
Nucleon resonances extracted from Bonn-Gatchina coupled channel analysis NSTAR 2011 17
The fit of the γp → KΛ recoil asymmetry
(CLAS 2009)
-1
0
11645
P1655 1665 1675 1685
-1
0
11695 1705 1715 1725 1735
-1
0
11745 1755 1765 1775 1785
-1
0
11795 1805 1815 1825 1835
-1
0
11845 1855 1865 1875 1885
-1
0
11895 1905 1915 1925 1935
-1
0
11945 1955 1965 1975 1985
-1
0
11995 2005 2015 2025 2035
-1
0
12045 2055 2065 2075 2085
-1
0
12095 2105 2115 2125 2135
-1
0
12145 2155 2165 2175 2185
-1
0
12195 2205 2215 2225 2235
-1
0
12245 2255 2265 2275 2285
-1
0
12295 2305 2315 2325 2335
-1
0
12345
-0.5 0 0.5
2355
-0.5 0 0.5
2365
-0.5 0 0.5
2375
-0.5 0 0.5
2385
-0.5 0 0.5
cos θcm
Nucleon resonances extracted from Bonn-Gatchina coupled channel analysis NSTAR 2011 18
The fit of the the π+p → K+Σ+ reaction
0
0.1
0.2
0.3
0.4
0.5
0.6
1800 1900 2000 2100 2200
Fit3/2 3/2 +3/2 7/2 +3/2 1/2 −
M(πp), MeV
σtot, mb
0
0.05
1822dσ/dΩ, mb/sr
1845 1870
0
0.05
1891 1926 1939
0
0.05
1970 1985 2019
0
0.05
2031 2059 2074
0
0.05
2106 2118
0 0.5-0.5
2147
0 0.5-0.5
cos θcm0
0.05
2158
0 0.5-0.5
-1
0
1 1822P
1845 1870
-1
0
1 1891 1926 1939
-1
0
1 1970 1985 2019
-1
0
1 2031 2059 2074
-1
0
1 2106 2118
0 0.5-0.5
2147
0 0.5-0.5
cos θcm-1
0
1 2158
0 0.5-0.5
Nucleon resonances extracted from Bonn-Gatchina coupled channel analysis NSTAR 2011 19
The fit of the the π−p → K0Σ0 reaction
0
0.05
0.1
0.15
0.2
0.25
1800 1900 2000 2100 2200 2300
M(πp), MeV
σtot, mb
0
0.02
0.04 1879
dσ/dΩ, mb/sr1909 1938
0
0.02
0.04 1966 1999 2027
0
0.02
0.04 2059 2104 2159
0
0.02
0.04 2183 2208
0 0.5-0.5
2259
0 0.5-0.5
cos θcm0
0.02
0.04 2316
0 0.5-0.5
-1
0
1 1694P
1725 1758
-1
0
1 1793 1826 1848
-1
0
1 1879 1909 1938
-1
0
1 1966 1999 2027
-1
0
1 2059 2104 2159
-1
0
1 2183 2208
0 0.5-0.5
2259
0 0.5-0.5
cos θcm
2316
0 0.5-0.5
Nucleon resonances extracted from Bonn-Gatchina coupled channel analysis NSTAR 2011 20
π−p → nπ0π0 (Crystal Ball) total cross section
0
0.3
0.6
0.9
1.2
1.5
1.8
2.1
2.4
1.3 1.35 1.4 1.45 1.5
M(πp), GeV/c2
σ tot ,
mb
Fit of the data
P11 -partial wave
D13 -partial wave
S11 -partial wave
Nucleon resonances extracted from Bonn-Gatchina coupled channel analysis NSTAR 2011 21
π−p → nπ0π0 (Crystal Ball)Differential cross sections for 472 and 665 MeV/c data.
1.05 1.1 1.15 1.2 1.250
200
400
600
800
1000
1200
1400
M230472 0472 p)πM ( 0472 p)πM ( 0472 p)πM ( 0472
0.25 0.3 0.35 0.4 0.450
200
400
600
800
1000
1200
1400
1600
1800
2000
2200
M120472 0472)π πM ( 0472)π πM ( 0472)π πM ( 0472
-1 -0.5 0 0.5 1
200
400
600
800
1000
Z10472 0472)π(Θcos 0472)π(Θcos 0472)π(Θcos 0472
-1 -0.5 0 0.5 1
200
400
600
800
1000
1200
1400Z30472 0472(p)Θcos 0472(p)Θcos 0472(p)Θcos 0472
-1 -0.5 0 0.5 1
200
400
600
800
1000
1200
1400
1600
1800
2000
2200
2400Z230472 0472 p)π(Θcos 0472 p)π(Θcos 0472 p)π(Θcos 0472
-1 -0.5 0 0.5 1
400
500
600
700
800
900
1000
Z120472 0472)ππ(Θcos 0472)ππ(Θcos 0472)ππ(Θcos 0472
1.05 1.1 1.15 1.2 1.25 1.3 1.35 1.40
2000
4000
6000
8000
10000
M230655 0655 p)πM ( 0655 p)πM ( 0655 p)πM ( 0655
0.25 0.3 0.35 0.4 0.45 0.5 0.55 0.60
1000
2000
3000
4000
5000
6000
7000
8000
M120655 0655)π πM ( 0655)π πM ( 0655)π πM ( 0655
-1 -0.5 0 0.5 10
1000
2000
3000
4000
5000
6000
7000
Z10655 0655)π(Θcos 0655)π(Θcos 0655)π(Θcos 0655
-1 -0.5 0 0.5 11000
2000
3000
4000
5000
6000
7000
8000
9000Z30655 0655(p)Θcos 0655(p)Θcos 0655(p)Θcos 0655
-1 -0.5 0 0.5 1
2000
3000
4000
5000
6000
7000
8000
9000Z230655 0655 p)π(Θcos 0655 p)π(Θcos 0655 p)π(Θcos 0655
-1 -0.5 0 0.5 11000
2000
3000
4000
5000
6000
7000
8000
Z120655 0655)ππ(Θcos 0655)ππ(Θcos 0655)ππ(Θcos 0655
Nucleon resonances extracted from Bonn-Gatchina coupled channel analysis NSTAR 2011 22
γp → pπ0π0 (Crystal Barrel)Differential cross sections.
1.1 1.2 1.3 1.4 1.50
200
400
600
800
1000
1200
1400
1600
1800
M23M(123)-1.60 1.55<M<1.65 p)πM ( 1.55<M<1.65 p)πM ( 1.55<M<1.65 p)πM ( 1.55<M<1.65 p)πM ( 1.55<M<1.65 p)πM ( 1.55<M<1.65 p)πM ( 1.55<M<1.65
0.3 0.4 0.5 0.6 0.70
200
400
600
800
1000
1200
1400
M12M(123)-1.60 1.55<M<1.65)π πM ( 1.55<M<1.65)π πM ( 1.55<M<1.65)π πM ( 1.55<M<1.65)π πM ( 1.55<M<1.65)π πM ( 1.55<M<1.65)π πM ( 1.55<M<1.65
-1 -0.5 0 0.5 1
600
800
1000
1200
1400
Z1M(123)-1.60 1.55<M<1.65)π(Θcos 1.55<M<1.65)π(Θcos 1.55<M<1.65)π(Θcos 1.55<M<1.65)π(Θcos 1.55<M<1.65)π(Θcos 1.55<M<1.65)π(Θcos 1.55<M<1.65
-1 -0.5 0 0.5 10
200
400
600
800
1000
1200
1400
1600
Z3M(123)-1.60 1.55<M<1.65(p)Θcos 1.55<M<1.65(p)Θcos 1.55<M<1.65(p)Θcos 1.55<M<1.65(p)Θcos 1.55<M<1.65(p)Θcos 1.55<M<1.65(p)Θcos 1.55<M<1.65
-1 -0.5 0 0.5 1
200
400
600
800
1000
1200
1400
1600Z23M(123)-1.60 1.55<M<1.65 p)π(Θcos 1.55<M<1.65 p)π(Θcos 1.55<M<1.65 p)π(Θcos 1.55<M<1.65 p)π(Θcos 1.55<M<1.65 p)π(Θcos 1.55<M<1.65 p)π(Θcos 1.55<M<1.65
-1 -0.5 0 0.5 1200
400
600
800
1000
1200
1400
1600
1800
Z12M(123)-1.60 1.55<M<1.65)ππ(Θcos 1.55<M<1.65)ππ(Θcos 1.55<M<1.65)ππ(Θcos 1.55<M<1.65)ππ(Θcos 1.55<M<1.65)ππ(Θcos 1.55<M<1.65)ππ(Θcos 1.55<M<1.65
1.1 1.2 1.3 1.4 1.5 1.60
200
400
600
800
1000
1200
1400
1600
1800
M23M(123)-1.70 1.65<M<1.75 p)πM ( 1.65<M<1.75 p)πM ( 1.65<M<1.75 p)πM ( 1.65<M<1.75 p)πM ( 1.65<M<1.75 p)πM ( 1.65<M<1.75 p)πM ( 1.65<M<1.75
0.3 0.4 0.5 0.6 0.7 0.80
200
400
600
800
1000
1200
1400
1600M12M(123)-1.70 1.65<M<1.75)π πM ( 1.65<M<1.75)π πM ( 1.65<M<1.75)π πM ( 1.65<M<1.75)π πM ( 1.65<M<1.75)π πM ( 1.65<M<1.75)π πM ( 1.65<M<1.75
-1 -0.5 0 0.5 1400
600
800
1000
1200
1400
1600
1800
2000
Z1M(123)-1.70 1.65<M<1.75)π(Θcos 1.65<M<1.75)π(Θcos 1.65<M<1.75)π(Θcos 1.65<M<1.75)π(Θcos 1.65<M<1.75)π(Θcos 1.65<M<1.75)π(Θcos 1.65<M<1.75
-1 -0.5 0 0.5 10
200
400
600
800
1000
1200
1400
1600
1800
2000
2200
2400Z3M(123)-1.70 1.65<M<1.75(p)Θcos 1.65<M<1.75(p)Θcos 1.65<M<1.75(p)Θcos 1.65<M<1.75(p)Θcos 1.65<M<1.75(p)Θcos 1.65<M<1.75(p)Θcos 1.65<M<1.75
-1 -0.5 0 0.5 1
400
600
800
1000
1200
1400
1600
1800
Z23M(123)-1.70 1.65<M<1.75 p)π(Θcos 1.65<M<1.75 p)π(Θcos 1.65<M<1.75 p)π(Θcos 1.65<M<1.75 p)π(Θcos 1.65<M<1.75 p)π(Θcos 1.65<M<1.75 p)π(Θcos 1.65<M<1.75
-1 -0.5 0 0.5 1
600
800
1000
1200
1400
1600
1800
2000
Z12M(123)-1.70 1.65<M<1.75)ππ(Θcos 1.65<M<1.75)ππ(Θcos 1.65<M<1.75)ππ(Θcos 1.65<M<1.75)ππ(Θcos 1.65<M<1.75)ππ(Θcos 1.65<M<1.75)ππ(Θcos 1.65<M<1.75
1.1 1.2 1.3 1.4 1.5 1.6 1.70
100
200
300
400
500
600
700
800
M23M(123)-1.80 1.75<M<1.85 p)πM ( 1.75<M<1.85 p)πM ( 1.75<M<1.85 p)πM ( 1.75<M<1.85 p)πM ( 1.75<M<1.85 p)πM ( 1.75<M<1.85 p)πM ( 1.75<M<1.85
0.3 0.4 0.5 0.6 0.7 0.8 0.90
100
200
300
400
500
600
700
M12M(123)-1.80 1.75<M<1.85)π πM ( 1.75<M<1.85)π πM ( 1.75<M<1.85)π πM ( 1.75<M<1.85)π πM ( 1.75<M<1.85)π πM ( 1.75<M<1.85)π πM ( 1.75<M<1.85
-1 -0.5 0 0.5 1
200
300
400
500
600
700
800
900
Z1M(123)-1.80 1.75<M<1.85)π(Θcos 1.75<M<1.85)π(Θcos 1.75<M<1.85)π(Θcos 1.75<M<1.85)π(Θcos 1.75<M<1.85)π(Θcos 1.75<M<1.85)π(Θcos 1.75<M<1.85
-1 -0.5 0 0.5 10
200
400
600
800
1000Z3M(123)-1.80 1.75<M<1.85(p)Θcos 1.75<M<1.85(p)Θcos 1.75<M<1.85(p)Θcos 1.75<M<1.85(p)Θcos 1.75<M<1.85(p)Θcos 1.75<M<1.85(p)Θcos 1.75<M<1.85
-1 -0.5 0 0.5 1
300
400
500
600
700
800
Z23M(123)-1.80 1.75<M<1.85 p)π(Θcos 1.75<M<1.85 p)π(Θcos 1.75<M<1.85 p)π(Θcos 1.75<M<1.85 p)π(Θcos 1.75<M<1.85 p)π(Θcos 1.75<M<1.85 p)π(Θcos 1.75<M<1.85
-1 -0.5 0 0.5 1
300
400
500
600
700
800
900
Z12M(123)-1.80 1.75<M<1.85)ππ(Θcos 1.75<M<1.85)ππ(Θcos 1.75<M<1.85)ππ(Θcos 1.75<M<1.85)ππ(Θcos 1.75<M<1.85)ππ(Θcos 1.75<M<1.85)ππ(Θcos 1.75<M<1.85
Nucleon resonances extracted from Bonn-Gatchina coupled channel analysis NSTAR 2011 23
γp → pπ0π0 (Crystal Barrel)Dalitz plots W=1.5, 1.6,1.7,1.8 GeV.
0
50
100
150
200
250
300
350
1.2 1.4 1.6 1.8 2
1.2
1.4
1.6
1.8
2
Dp(13 vs 23)M(123)-1.50 Dp(13 vs 23)M(123)-1.50
0
100
200
300
400
500
1.2 1.4 1.6 1.8 2
1.2
1.4
1.6
1.8
2
Dp(13 vs 23)M(123)-1.50 Dp(13 vs 23)M(123)-1.50
0
20
40
60
80
100
120
140
160
180
1.2 1.4 1.6 1.8 2 2.2 2.4
1.2
1.4
1.6
1.8
2
2.2
2.4
Dp(13 vs 23)M(123)-1.60 Dp(13 vs 23)M(123)-1.60
0
20
40
60
80
100
120
140
160
180
1.2 1.4 1.6 1.8 2 2.2 2.4
1.2
1.4
1.6
1.8
2
2.2
2.4
Dp(13 vs 23)M(123)-1.60 Dp(13 vs 23)M(123)-1.60
0
20
40
60
80
100
120
140
160
180
1.2 1.4 1.6 1.8 2 2.2 2.4 2.6 2.8
1.2
1.4
1.6
1.8
2
2.2
2.4
2.6
2.8
Dp(13 vs 23)M(123)-1.70 Dp(13 vs 23)M(123)-1.70
0
20
40
60
80
100
120
140
160
1.2 1.4 1.6 1.8 2 2.2 2.4 2.6 2.8
1.2
1.4
1.6
1.8
2
2.2
2.4
2.6
2.8
Dp(13 vs 23)M(123)-1.70 Dp(13 vs 23)M(123)-1.70
0
10
20
30
40
50
60
70
80
90
1.2 1.4 1.6 1.8 2 2.2 2.4 2.6 2.8 3
1.2
1.4
1.6
1.8
2
2.2
2.4
2.6
2.8
3
Dp(13 vs 23)M(123)-1.80 Dp(13 vs 23)M(123)-1.80
0
20
40
60
80
100
1.2 1.4 1.6 1.8 2 2.2 2.4 2.6 2.8 3
1.2
1.4
1.6
1.8
2
2.2
2.4
2.6
2.8
3
Dp(13 vs 23)M(123)-1.80 Dp(13 vs 23)M(123)-1.80
Nucleon resonances extracted from Bonn-Gatchina coupled channel analysis NSTAR 2011 24
γp → pπ0η (CB-ELSA)with linear polarized photon
dσ
dΩ=
(dσ
dΩ
)
0
1 + δl[Is sin(2φ) + Ic cos(2φ)] , (2)
Σ =
2π∫
0
Icdφ∗
Nucleon resonances extracted from Bonn-Gatchina coupled channel analysis NSTAR 2011 25
Ic and Is for γp → pπ0η (CB-ELSA)
-0.5
0
0.5
0
0.5psI
64 MeV±W = 1706
-0.5
0
0.5
0
0.5
0πsI
0 100 200 300
-0.5
0
0.5
0 100 200 300
0
ηsI
64 MeV±W = 1834
100 200 300100 200 300
48 MeV±W = 1946
100 200 300100 200 300
]°* [φ
-0.5
0
0.5
0
0.5pcI
64 MeV±W = 1706
-0.5
0
0.5
0
0.5
0πcI
0 100 200 300
-0.5
0
0.5
0 100 200 300
0
ηcI
64 MeV±W = 1834
100 200 300100 200 300
48 MeV±W = 1946
100 200 300100 200 300
]°* [φ
Nucleon resonances extracted from Bonn-Gatchina coupled channel analysis NSTAR 2011 26
Pole position of baryon states (Re and -2Im) in the mass region 1900-2300 MeV
State Solution 1 Solution 2 Arndt Hoehler Cutcosky
N(1875) 12
+Re 1860±20 1850+20
−50 1885±30 (Manley)
∗ -2Im 110+30−10 360±40 113±44 (Manley)
N(1890) 12
−Re 1895±8 − 1880±20 −
∗ -2Im 82±10 − 95±30 −N(1880) 3
2
−Re 1860±12 − − 1880±100
∗ -2Im 185±16 − − 180±60
N(2130) 32
−Re 2130±45 − 2081±20 2050±70
∗∗ -2Im 340±45 − 265±40 200±60
N(1900) 32
+Re 1910±40 1920±50 − − −
∗∗ -2Im 270±50 300±60 − − −N(2000) 5
2
+Re 1800− 1950 1807 1882±10 −
∗∗ -2Im 100− 300 109 95±20 −N(2100) 5
2
+Re 2100±25 − − −
-2Im 550±40 − − −N(2070) 5
2
−Re 2060±8 − − 2100±60
-2Im 370±15 − − 360±80
N(1990) 72
+Re 1975±15 2090±15 − ∼ 1935 1900±30
∗∗ -2Im 170±50 260±20 − ∼ 260 260±60
N(2190) 72
−Re 2160±20 2070 2042 2100±50
∗ ∗ ∗∗ -2Im 310±25 520 480 400±160
Nucleon resonances extracted from Bonn-Gatchina coupled channel analysis NSTAR 2011 27
S11: pole position and Breit-Wigner parameters
State Solution 1 Solution 2 Arndt Hoehler Cutcosky
N(1890) 12
−Re 1895±8
∗ -2Im 82±10BW M 1900±10 1880±20parameters Γ 77±15 95±30
-0.2
0
0.2
0.4
1 1.2 1.4 1.6 1.8 2 2.2
Re T
-0.2
0
0.2
0.4
0.6
0.8
1 1.2 1.4 1.6 1.8 2 2.2M(πN), GeV
Im T
0100200300400500600700
1800 1900 2000
Totala)
0
100
200
300
400
500
1800 1900 2000
γp→K+Σ0, K0Σ+
b)
0
50
100
150
200
1800 1900 2000
γp→K+Λc)
0102030405060
1800 1900 2000
γp→K+Λ (Ox, Oz, T)d)
M, MeV
Nucleon resonances extracted from Bonn-Gatchina coupled channel analysis NSTAR 2011 28
D13: pole positions
State Solution 1 Solution 2 Arndt Hoehler Cutcosky
N(1880) 32
−Re 1860±12 − − 1880±100
∗ -2Im 185±16 − − 180±60
N(2130) 32
−Re 2130±45 − 2081±20 2050±70
∗∗ -2Im 340±45 − 265±40 200±60
-0.4
-0.2
0
0.2
0.4
1 1.2 1.4 1.6 1.8 2 2.2
Re
T
0
0.2
0.4
0.6
1 1.2 1.4 1.6 1.8 2 2.2M(πN), GeV
Im T
-50
0
50
100
150
200
1800 2000
γp→π+n
a)
0
200
400
600
800
1000
1800 2000
γp→K+Σ0, K0Σ+
b)
0
200
400
600
800
1000
1800 2000
γp→K+Λ
c)
M, MeV
0100200300400500600700800900
2000 2200 2400
γp→π0p
d)
0
200
400
600
800
1000
1200
2000 2200 2400
γp→π+n
e)
0100200300400500600700800
2000 2200 2400
γp→K+Λ
f)
M, MeV
Nucleon resonances extracted from Bonn-Gatchina coupled channel analysis NSTAR 2011 29
D15: pole position and Breit-Wigner parameters
State Solution 1 Solution 2 Arndt Hoehler Cutcosky
N(2070) 52
−Re 2060±8 − − 2100±60
-2Im 370±15 − − 360±80BW M 2075±12 2228±30 2180±80parameters Γ 365±20 310±50 400±100
-0.2
-0.1
0
0.1
0.2
0.3
1 1.2 1.4 1.6 1.8 2 2.2 2.4 2.6
Re T
-0.1
0
0.1
0.2
0.3
0.4
0.5
1 1.2 1.4 1.6 1.8 2 2.2 2.4 2.6M(πN), GeV
Im T
0100020003000400050006000
1900 2000 2100 2200 2300
Totala)
0200400600800
10001200
1900 2000 2100 2200 2300
γp→π0p, K+Λb)
0200400600800
100012001400
1900 2000 2100 2200 2300
γp→π+nc)
0100200300400500600700
1900 2000 2100 2200 2300
γp→ηpd)
M, MeV
Nucleon resonances extracted from Bonn-Gatchina coupled channel analysis NSTAR 2011 30
G17: pole position and Breit-Wigner parameters
State Solution 1 Solution 2 Arndt Hoehler Cutcosky
N(2190) 72
−Re 2160±20 2070 2042 2100±50
∗ ∗ ∗∗ -2Im 310±25 520 480 400±160BW M 2185±20 2152.4±1.4 2140±12 2200±70parameters Γ 290±40 484±13 390±30 500±150
-0.2
-0.1
0
0.1
0.2
1.4 1.6 1.8 2 2.2 2.4
Re
T
-0.1
0
0.1
0.2
0.3
0.4
1.4 1.6 1.8 2 2.2 2.4M(πN), GeV
Im T
0
200
400
600
800
1000
1200
1400
2000 2200
Totala)
0
200
400
600
800
1000
1200
1400
2000 2200
γpb)
-10
0
10
20
30
40
2000 2200
πpc)
M, MeV
Nucleon resonances extracted from Bonn-Gatchina coupled channel analysis NSTAR 2011 31
P11: pole position and Breit-Wigner parameters
State Solution 1 Solution 2 Manley
N(1875) 12
+Re 1860±20 1850+20
−50 1885±30
∗ -2Im 110+30−10 360±40 113±44
BW M 1864±10 1863±20parameters Γ 115±20 320±30
BG2011-01 BG2011-02
-0.2
-0.1
0
0.1
0.2
0.3
0.4
1 1.2 1.4 1.6 1.8 2 2.2
Re
T
0
0.2
0.4
0.6
1 1.2 1.4 1.6 1.8 2 2.2M(πN), GeV
Im T
-0.2
-0.1
0
0.1
0.2
0.3
0.4
1 1.2 1.4 1.6 1.8 2 2.2
Re
T
0
0.2
0.4
0.6
1 1.2 1.4 1.6 1.8 2 2.2M(πN), GeV
Im T
Nucleon resonances extracted from Bonn-Gatchina coupled channel analysis NSTAR 2011 32
P13: pole position and Breit-Wigner parameters
State Solution 1 Solution 2 Arndt Hoehler Cutcosky
N(1900) 32
+Re 1920±50 1890±50 − − −
∗∗ -2Im 300±60 270+180−100 − − −
N(1900) 32
+Re - 1970±25 − − −
∗∗ -2Im - 250±60 − − −BG2011-01 BG2011-02
-0.2
-0.1
0
0.1
1 1.2 1.4 1.6 1.8 2 2.2
Re
T
-0.1
0
0.1
0.2
0.3
1 1.2 1.4 1.6 1.8 2 2.2M(πN), GeV
Im T
-0.2
-0.1
0
0.1
1 1.2 1.4 1.6 1.8 2 2.2
Re
T
-0.1
0
0.1
0.2
0.3
1 1.2 1.4 1.6 1.8 2 2.2M(πN), GeV
Im T
Nucleon resonances extracted from Bonn-Gatchina coupled channel analysis NSTAR 2011 33
Pole position of F15: two and three pole solutionState Solution 1 Solution 2 Arndt Hoehler Cutcosky
N(2000) 52
+Re 1800− 1950 1800− 1950 1807 1882±10 −
∗∗ -2Im 100− 300 100− 300 109 95±20 −N(2100) 5
2
+Re 2090+20
−40 2110+20−80 − − −
-2Im 560±100 540±100 − − −
-0.4
-0.2
0
0.2
0.4
1.4 1.6 1.8 2 2.2 2.4
Re
T
0
0.2
0.4
0.6
1.4 1.6 1.8 2 2.2 2.4M(πN), GeV
Im T
-0.4
-0.2
0
0.2
0.4
1.4 1.6 1.8 2 2.2 2.4
Re
T
0
0.2
0.4
0.6
1.4 1.6 1.8 2 2.2 2.4M(πN), GeV
Im T
Nucleon resonances extracted from Bonn-Gatchina coupled channel analysis NSTAR 2011 34
Pole position of F17 and helicity couplings
(absolute value (10 −3 GeV12 )/phase (degrees)
State Solution 1 A( 12)/A( 3
2) Solution 2 A( 1
2)/A( 3
2)
N(1990) 72
+Re 1980±25 15/14o 2100±30 76/50o
∗∗ -2Im 180±30 28/3o 300±60 78/45o
-0.2
-0.1
0
0.1
0.2
1.6 1.8 2 2.2 2.4 2.6
Re
T
-0.2
-0.1
0
0.1
0.2
1.6 1.8 2 2.2 2.4 2.6M(πN), GeV
Im T
-1
-0.5
0
0.5
11900
Σ1915 1930 1945
-1
-0.5
0
0.5
11960 1975 1990 2005
-1
-0.5
0
0.5
12020 2035 2050 2065
-1
-0.5
0
0.5
12080
0 0.5-0.5
2095
0 0.5-0.5
2110
0 0.5-0.5
2125
0 0.5-0.5
cos θ
Nucleon resonances extracted from Bonn-Gatchina coupled channel analysis NSTAR 2011 35
Holographic QCD (AdS/QCD)
L, S, N κgd Resonance Pred.
0, 12
,0 12
N(940) input: 0.94
0, 32
,0 0 ∆(1232) 1.27
0, 12
,1 12
N(1440) 1.40
1, 12
,0 14
N(1535) N(1520) 1.53
1, 32
,0 0 N(1650) N(1700) N(1675) 1.64
1, 12
,0 0 ∆(1620) ∆(1700) L, S, N=0, 32
,1: ∆(1600) 1.64
2, 12
,0 12
N(1720) N(1680) L, S, N=0, 12
,2: N(1710) 1.72
1, 12
,1 14
N(1890) N(1880) 1.82
1, 32
,1 0 ∆(1900) ∆(1940) ∆(1930) 1.92
2, 32
,0 0 ∆(1910) ∆(1920) ∆(1905) ∆(1950) 1.92
2, 32
,0 0 N(1875) N(1900) N(1880) N(1980) 1.92
0, 12
,3 12
N(????) 2.03
3, 12
,0 14
N(2075) N(2185) L, S, N=1, 12
,2: N(????) N(????) 2.12
3, 32
,0 0 N(2200) N(2250) L, S, N=1, 12
,2: ∆(2223) ∆(2200) 2.20
4, 12
,0 12
N(2220) 2.27
4, 32
,0 0 ∆(2390) ∆(2300) ∆(2420) |L, N=3,1: ∆(2400) 2.43| ∆(2350)
5, 12
,0 14
N(2600) 2.57
Nucleon resonances extracted from Bonn-Gatchina coupled channel analysis NSTAR 2011 36
Parity doublets of N and ∆ resonances at high mass regionParity doublets must not interact by pion emission
and could have a small coupling to πN .
J=12 N1/2+(1880) * N1/2−(1890) * ∆1/2+(1910) **** ∆1/2−(1900)a **
J=32 N3/2+(1900) ** N3/2−(1875) ** ∆3/2+(1940)a *** ∆3/2−(1990)a *
J=52 N5/2+(1880) ** N5/2−(2070) ∆5/2+(1940) **** ∆5/2−(1930)a ***
J=72 N7/2+(1980) ** N7/2−(2170) **** ∆7/2+(1920) **** ∆7/2−(2200) *
J=92 N9/2+(2220) **** N9/2−(2250) **** ∆9/2+(2300) ** ∆9/2−(2400)a **
J=52 N5/2+(2100) ** N5/2−(2070) ∆5/2+(1940) **** ∆5/2−(1930)a ***
J=72 N7/2+(2100) ** N7/2−(2160) **** ∆7/2+(1920) **** ∆7/2−(2200) *
J=92 N9/2+(2220) **** N9/2−(2250) **** ∆9/2+(2300) ** ∆9/2−(2400)a **
Nucleon resonances extracted from Bonn-Gatchina coupled channel analysis NSTAR 2011 37
Summary
• The analysis of (almost) all available data for production of baryons in the pion and
photo induced reaction is completed.
• We have observed a set of new states in the region 1800-2150 MeV, however, this
number is much less than that predicted by the classical quark model.
• The low spin states in this mass region fit very well the AdS/QCD prediction as well
as with the idea about chiral restoration at high energies.
• There are two solutions for the N 72+ lowest state which should be distinguished
from analysis of beam asymmetry data on photoproduction of hyperon-kaon final
states.
• The situation for N( 52
+) can be resolved with reanalysis of πN elastic data and an
analysis of new data on double pion photoproduction (with charged pions).
• The search for the chiral partner of ∆7/2+(1920) state is the main subject in our
current analysis of double pion and π0η photoproduction data.
Nucleon resonances extracted from Bonn-Gatchina coupled channel analysis NSTAR 2011 38
MAMI data on γp → ηp. A narrow state at 1700 MeV?E. F. McNicoll et al., Phys. Rev. C 82 (2010) 035208 [arXiv:1007.0777 [nucl-ex]]
0
2
4
6
8
10
12
14
16
18
1500 1550 1600 1650 1700 1750 1800 1850
1/2 −1/2 +3/2 +
M(γp), MeV
σtot, µb0.2
0.4
1667
dσ/dΩ, µb/sr
1671 1675 1680
0.2
0.4
1684 1688 1692 1696
0.2
0.4
1700 1704 1707 1711
0.2
0.4
1715 1719 1723 1726
0
0.2
0.4
1730
-0.5 0 0.5
1734
-0.5 0 0.5
1737
-0.5 0 0.5
1741
-0.5 0 0.5
cos θcm
Nucleon resonances extracted from Bonn-Gatchina coupled channel analysis NSTAR 2011 39
Fits with narrow states or ωp photoproduction
Resonance Mass Γtotp
BrηNAp1/2
pBrηNAp
3/2χ2
tot/Ndat χ2sel/Ndat χ2
Σ/Ndat
MeV MeV 10−3GeV 1/2 10−3GeV 1/2
no res. - - - - 1.13 1.21 1.46P11(+) 1719 41 3.1 - 1.07 0.93 1.51P11(−) 1694 35 2.9 - 1.11 0.91 1.11
P13 1728 72 2.6 4.7 1.02 0.93 1.47S11 1685 30 0.8 - 1.12 1.12 1.47
S11(ωp) - - - - 1.12 0.93 1.41
2.6
2.8
3
3.2
3.4
3.6
3.8
1660 1680 1700 1720 1740
no res
P11(+)
P11(−)
M(γp), MeV
σtot, µb
2.6
2.8
3
3.2
3.4
3.6
3.8
1660 1680 1700 1720 1740
S11(ωp)
S11
P13
M(γp), MeV
σtot, µb
0
0.2
0.4
0.6
0.8
143o
Σ65o
0
0.2
0.4
0.6 85o
1600 1650 1700
106o
M(γp), MeV-0.2
0
0.2
1600 1650 1700
140o
Nucleon resonances extracted from Bonn-Gatchina coupled channel analysis NSTAR 2011 40
Solutions S11(ωp) and P11(+)
2.6
2.8
3
3.2
3.4
3.6
3.8
1660 1680 1700 1720 1740
S11(ωp)
P11(+)
M(γp), MeV
σtot, µb0.2
0.4
1667
dσ/dΩ, µb/sr
1671 1675 1680
0.2
0.4
1684 1688 1692 1696
0.2
0.4
1700 1704 1707 1711
0.2
0.4
1715 1719 1723 1726
0
0.2
0.4
1730
-0.5 0 0.5
1734
-0.5 0 0.5
1737
-0.5 0 0.5
1741
-0.5 0 0.5
cos θcm
Nucleon resonances extracted from Bonn-Gatchina coupled channel analysis NSTAR 2011 41
Prediction for polarization observables
-0.4-0.3-0.2-0.1
00.10.20.3
1600 1700
T 43o
-0.2
-0.1
0
0.1
1600 1700
65o
-0.1-0.05
00.050.1
0.15
1600 1700
85o
M(γp), MeV-0.05
0
0.05
0.1
0.15
0.2
1600 1700
106o
0.05
0.1
0.15
0.2
0.25
0.3
1600 1700
140o
S11(ωp)P11(−)P11(+)P13
-0.4
-0.3
-0.2
-0.1
1600 1700
F 43o
-0.2
-0.1
0
0.1
1600 1700
65o
-0.1
0
0.1
0.2
0.3
0.4
1600 1700
85o
M(γp), MeV
0.1
0.2
0.3
0.4
0.5
1600 1700
106o
0.250.3
0.350.4
0.450.5
0.550.6
1600 1700
140o
S11(ωp)P11(−)P11(+)P13
Nucleon resonances extracted from Bonn-Gatchina coupled channel analysis NSTAR 2011 42
Summary
• New high precision data on γp → ηp show a narrow structure in the mass region
1650-1750 MeV.
• The structure can be explained either with a narrow state (in the S11, P11 or P13
partial wave) or as an effect from photoproduction of ωp channel in the S11 partial
wave.
• The beam asymmetry data [2] favor the solution P11(−) with mass 1694 MeV and
width 35 MeV.
• High statistical data on beam asymmetry and beam-target polarization observables
will determine which partial wave is responsible for the narrow structure. Such data
can also help to distinguish between P11(+) and P11(−) solutions.
Nucleon resonances extracted from Bonn-Gatchina coupled channel analysis NSTAR 2011 43
γp→ π0p
0
50
100
150
200
250
300
1200 1400 1600 1800 2000 2200 2400
M(γp), MeV
γp→ π0p
0
25
-1 0 1
1211
0
25
-1 0 1
1230
0
25
-1 0 1
1249
0
25
-1 0 1
1268
0
20
-1 0 1
1286
0
20
-1 0 1
1304
0
20
-1 0 1
1322
0
20
-1 0 1
1340
0
5
-1 0 1
1357
0
5
-1 0 1
1374
0
5
-1 0 1
1391
0
5
-1 0 1
1408
0
2.5
5
-1 0 1
1425
0
2.5
5
-1 0 1
1441
0
2.5
5
-1 0 1
1457
0
2.5
5
-1 0 1
1473
0
2.5
5
-1 0 1
1489
0
2.5
5
-1 0 1
1505
0
2.5
5
-1 0 1
1520
0
2.5
5
-1 0 1
1536
Nucleon resonances extracted from Bonn-Gatchina coupled channel analysis NSTAR 2011 44
γp→ π0p
0
2.5
5
-1 0 1
1551
0
2.5
5
-1 0 1
1566
0
2.5
5
-1 0 1
1581
0
2.5
5
-1 0 1
1596
0
2.5
5
-1 0 1
1610
0
2.5
5
-1 0 1
1625
0
2.5
5
-1 0 1
1639
0
2.5
5
-1 0 1
1653
0
2.5
5
-1 0 1
1667
0
2.5
5
-1 0 1
1681
0
2.5
5
-1 0 1
1695
0
2.5
5
-1 0 1
1709
0
2
-1 0 1
1723
0
2
-1 0 1
1736
0
2
-1 0 1
1750
0
2
-1 0 1
1763
0
2
-1 0 1
1776
0
2
-1 0 1
1790
0
2
-1 0 1
1803
0
2
-1 0 1
1816
γp→ π0p
0
2
-1 0 1
1835
0
2
-1 0 1
1860
0
2
-1 0 1
1885
0
2
-1 0 1
1910
0
2
-1 0 1
1934
0
2
-1 0 1
1959
0
2
-1 0 1
1982
0
2
-1 0 1
2006
0
2
-1 0 1
2029
0
2
-1 0 1
2052
0
2
-1 0 1
2075
0
2
-1 0 1
2097
0
2
-1 0 1
2120
0
2
-1 0 1
2142
0
2
-1 0 1
2163
0
2
-1 0 1
2185
0
1
2
-1 0 1
2206
0
1
2
-1 0 1
2228
0
1
2
-1 0 1
2248
0
1
2
-1 0 1
2269
Nucleon resonances extracted from Bonn-Gatchina coupled channel analysis NSTAR 2011 45
γp→ π0p, 3/2-1/2
0
50
-1 1
1209
0
50
-1 1
1225
0
50
-1 1
1240
0
50
-1 1
1255
0
25
-1 1
1270
0
25
-1 1
1284
0
20
-1 1
1299
0
20
-1 1
1313
0
20
-1 1
1328
0
20
-1 1
1342
0
5
-1 1
1356
-8
0
8
-1 1
1376
-8
0
8
-1 1
1390
-5
0
5
-1 1
1403
-5
0
5
-1 1
1416
-5
0
5
-1 1
1430
-5
0
5
-1 1
1443
-5
0
5
-1 1
1456
-5
0
5
-1 1
1468
-5
0
5
-1 1
1481
-5
0
5
-1 1
1494
-5
0
5
-1 1
1506
-5
0
5
-1 1
1519
-5
0
5
-1 1
1531
Nucleon resonances extracted from Bonn-Gatchina coupled channel analysis NSTAR 2011 46
γp→ π0p, Σ
-1
0
1
-1 1
1201
-1
0
1
-1 1
1205
-1
0
1
-1 1
1209
-1
0
1
-1 1
1213
-1
0
1
-1 1
1217
-1
0
1
-1 1
1221
-1
0
1
-1 1
1225
-1
0
1
-1 1
1228
-1
0
1
-1 1
1232
-1
0
1
-1 1
1236
-1
0
1
-1 1
1240
-1
0
1
-1 1
1247
-1
0
1
-1 1
1251
-1
0
1
-1 1
1255
-1
0
1
-1 1
1262
-1
0
1
-1 1
1270
-1
0
1
-1 1
1277
-1
0
1
-1 1
1281
-1
0
1
-1 1
1284
-1
0
1
-1 1
1292
-1
0
1
-1 1
1299
-1
0
1
-1 1
1303
-1
0
1
-1 1
1306
-1
0
1
-1 1
1313
-1
0
1
-1 1
1335
γp→ π0p, Σ
-1
0
1
-1 1
1345
-1
0
1
-1 1
1349
-1
0
1
-1 1
1359
-1
0
1
-1 1
1366
-1
0
1
-1 1
1380
-1
0
1
-1 1
1383
-1
0
1
-1 1
1400
-1
0
1
-1 1
1403
-1
0
1
-1 1
1406
-1
0
1
-1 1
1416
-1
0
1
-1 1
1426
-1
0
1
-1 1
1433
-1
0
1
-1 1
1449
-1
0
1
-1 1
1452
-1
0
1
-1 1
1459
-1
0
1
-1 1
1465
-1
0
1
-1 1
1472
-1
0
1
-1 1
1481
-1
0
1
-1 1
1484
-1
0
1
-1 1
1491
-1
0
1
-1 1
1497
-1
0
1
-1 1
1503
-1
0
1
-1 1
1509
-1
0
1
-1 1
1513
-1
0
1
-1 1
1516
Nucleon resonances extracted from Bonn-Gatchina coupled channel analysis NSTAR 2011 47
γp→ π0p, Σ
-1
0
1
-1 1
1519
-1
0
1
-1 1
1525
-1
0
1
-1 1
1528
-1
0
1
-1 1
1531
-1
0
1
-1 1
1537
-1
0
1
-1 1
1540
-1
0
1
-1 1
1543
-1
0
1
-1 1
1546
-1
0
1
-1 1
1549
-1
0
1
-1 1
1555
-1
0
1
-1 1
1558
-1
0
1
-1 1
1561
-1
0
1
-1 1
1567
-1
0
1
-1 1
1573
-1
0
1
-1 1
1576
-1
0
1
-1 1
1579
-1
0
1
-1 1
1582
-1
0
1
-1 1
1588
-1
0
1
-1 1
1591
-1
0
1
-1 1
1594
-1
0
1
-1 1
1600
-1
0
1
-1 1
1603
-1
0
1
-1 1
1606
-1
0
1
-1 1
1609
-1
0
1
-1 1
1612
γp→ π0p, Σ
-1
0
1
-1 1
1615
-1
0
1
-1 1
1617
-1
0
1
-1 1
1620
-1
0
1
-1 1
1626
-1
0
1
-1 1
1632
-1
0
1
-1 1
1635
-1
0
1
-1 1
1638
-1
0
1
-1 1
1646
-1
0
1
-1 1
1649
-1
0
1
-1 1
1652
-1
0
1
-1 1
1655
-1
0
1
-1 1
1658
-1
0
1
-1 1
1660
-1
0
1
-1 1
1663
-1
0
1
-1 1
1674
-1
0
1
-1 1
1677
-1
0
1
-1 1
1680
-1
0
1
-1 1
1683
-1
0
1
-1 1
1688
-1
0
1
-1 1
1691
-1
0
1
-1 1
1694
-1
0
1
-1 1
1697
-1
0
1
-1 1
1702
-1
0
1
-1 1
1705
-1
0
1
-1 1
1708
Nucleon resonances extracted from Bonn-Gatchina coupled channel analysis NSTAR 2011 48
γp→ π0p, Σ
-1
0
1
-1 1
1716
-1
0
1
-1 1
1724
-1
0
1
-1 1
1727
-1
0
1
-1 1
1730
-1
0
1
-1 1
1732
-1
0
1
-1 1
1738
-1
0
1
-1 1
1740
-1
0
1
-1 1
1748
-1
0
1
-1 1
1751
-1
0
1
-1 1
1757
-1
0
1
-1 1
1759
-1
0
1
-1 1
1770
-1
0
1
-1 1
1780
-1
0
1
-1 1
1786
-1
0
1
-1 1
1788
-1
0
1
-1 1
1791
-1
0
1
-1 1
1801
-1
0
1
-1 1
1807
-1
0
1
-1 1
1817
-1
0
1
-1 1
1822
-1
0
1
-1 1
1830
-1
0
1
-1 1
1843
-1
0
1
-1 1
1845
-1
0
1
-1 1
1848
-1
0
1
-1 1
1858
γp→ π0p, Σ
-1
0
1
-1 1
1863
-1
0
1
-1 1
1873
-1
0
1
-1 1
1883
-1
0
1
-1 1
1885
-1
0
1
-1 1
1898
-1
0
1
-1 1
1910
-1
0
1
-1 1
1922
-1
0
1
-1 1
1947
-1
0
1
-1 1
1961
-1
0
1
-1 1
1970
-1
0
1
-1 1
1994
-1
0
1
-1 1
1999
-1
0
1
-1 1
2018
-1
0
1
-1 1
2041
-1
0
1
-1 1
2045
-1
0
1
-1 1
2064
-1
0
1
-1 1
2082
-1
0
1
-1 1
2109
-1
0
1
-1 1
2117
-1
0
1
-1 1
2153
-1
0
1
-1 1
2187
-1
0
1
-1 1
2196
-1
0
1
-1 1
2221
-1
0
1
-1 1
2255
-1
0
1
-1 1
2280
Nucleon resonances extracted from Bonn-Gatchina coupled channel analysis NSTAR 2011 49
γp→ π0p, P
-1
0
1
-1 1
1201
-1
0
1
-1 1
1217
-1
0
1
-1 1
1240
-1
0
1
-1 1
1247
-1
0
1
-1 1
1262
-1
0
1
-1 1
1277
-1
0
1
-1 1
1292
-1
0
1
-1 1
1313
-1
0
1
-1 1
1328
-1
0
1
-1 1
1335
-1
0
1
-1 1
1345
-1
0
1
-1 1
1349
-1
0
1
-1 1
1356
-1
0
1
-1 1
1362
-1
0
1
-1 1
1366
-1
0
1
-1 1
1373
-1
0
1
-1 1
1376
-1
0
1
-1 1
1383
-1
0
1
-1 1
1390
-1
0
1
-1 1
1393
-1
0
1
-1 1
1403
-1
0
1
-1 1
1406
-1
0
1
-1 1
1410
-1
0
1
-1 1
1416
-1
0
1
-1 1
1420
γp→ π0p, P
-1
0
1
-1 1
1423
-1
0
1
-1 1
1426
-1
0
1
-1 1
1430
-1
0
1
-1 1
1443
-1
0
1
-1 1
1449
-1
0
1
-1 1
1452
-1
0
1
-1 1
1456
-1
0
1
-1 1
1462
-1
0
1
-1 1
1465
-1
0
1
-1 1
1468
-1
0
1
-1 1
1472
-1
0
1
-1 1
1475
-1
0
1
-1 1
1481
-1
0
1
-1 1
1494
-1
0
1
-1 1
1497
-1
0
1
-1 1
1500
-1
0
1
-1 1
1506
-1
0
1
-1 1
1509
-1
0
1
-1 1
1513
-1
0
1
-1 1
1516
-1
0
1
-1 1
1519
-1
0
1
-1 1
1522
-1
0
1
-1 1
1525
-1
0
1
-1 1
1528
-1
0
1
-1 1
1531
Nucleon resonances extracted from Bonn-Gatchina coupled channel analysis NSTAR 2011 50
γp→ π0p, P
-1
0
1
-1 1
1423
-1
0
1
-1 1
1426
-1
0
1
-1 1
1430
-1
0
1
-1 1
1443
-1
0
1
-1 1
1449
-1
0
1
-1 1
1452
-1
0
1
-1 1
1456
-1
0
1
-1 1
1462
-1
0
1
-1 1
1465
-1
0
1
-1 1
1468
-1
0
1
-1 1
1472
-1
0
1
-1 1
1475
-1
0
1
-1 1
1481
-1
0
1
-1 1
1494
-1
0
1
-1 1
1497
-1
0
1
-1 1
1500
-1
0
1
-1 1
1506
-1
0
1
-1 1
1509
-1
0
1
-1 1
1513
-1
0
1
-1 1
1516
-1
0
1
-1 1
1519
-1
0
1
-1 1
1522
-1
0
1
-1 1
1525
-1
0
1
-1 1
1528
-1
0
1
-1 1
1531
γp→ π0p, P
-1
0
1
-1 1
1537
-1
0
1
-1 1
1543
-1
0
1
-1 1
1546
-1
0
1
-1 1
1549
-1
0
1
-1 1
1552
-1
0
1
-1 1
1555
-1
0
1
-1 1
1558
-1
0
1
-1 1
1561
-1
0
1
-1 1
1564
-1
0
1
-1 1
1567
-1
0
1
-1 1
1573
-1
0
1
-1 1
1579
-1
0
1
-1 1
1582
-1
0
1
-1 1
1585
-1
0
1
-1 1
1588
-1
0
1
-1 1
1591
-1
0
1
-1 1
1594
-1
0
1
-1 1
1600
-1
0
1
-1 1
1603
-1
0
1
-1 1
1609
-1
0
1
-1 1
1615
-1
0
1
-1 1
1617
-1
0
1
-1 1
1620
-1
0
1
-1 1
1623
-1
0
1
-1 1
1626
Nucleon resonances extracted from Bonn-Gatchina coupled channel analysis NSTAR 2011 51
γp→ π0p, P
-1
0
1
-1 1
1632
-1
0
1
-1 1
1635
-1
0
1
-1 1
1638
-1
0
1
-1 1
1640
-1
0
1
-1 1
1646
-1
0
1
-1 1
1649
-1
0
1
-1 1
1652
-1
0
1
-1 1
1655
-1
0
1
-1 1
1660
-1
0
1
-1 1
1663
-1
0
1
-1 1
1672
-1
0
1
-1 1
1674
-1
0
1
-1 1
1677
-1
0
1
-1 1
1680
-1
0
1
-1 1
1683
-1
0
1
-1 1
1688
-1
0
1
-1 1
1691
-1
0
1
-1 1
1694
-1
0
1
-1 1
1699
-1
0
1
-1 1
1702
-1
0
1
-1 1
1705
-1
0
1
-1 1
1710
-1
0
1
-1 1
1716
-1
0
1
-1 1
1719
-1
0
1
-1 1
1727
γp→ π0p, P
-1
0
1
-1 1
1730
-1
0
1
-1 1
1735
-1
0
1
-1 1
1738
-1
0
1
-1 1
1740
-1
0
1
-1 1
1743
-1
0
1
-1 1
1746
-1
0
1
-1 1
1751
-1
0
1
-1 1
1757
-1
0
1
-1 1
1759
-1
0
1
-1 1
1764
-1
0
1
-1 1
1770
-1
0
1
-1 1
1772
-1
0
1
-1 1
1775
-1
0
1
-1 1
1778
-1
0
1
-1 1
1783
-1
0
1
-1 1
1791
-1
0
1
-1 1
1794
-1
0
1
-1 1
1796
-1
0
1
-1 1
1801
-1
0
1
-1 1
1809
-1
0
1
-1 1
1822
-1
0
1
-1 1
1830
-1
0
1
-1 1
1835
-1
0
1
-1 1
1845
-1
0
1
-1 1
1848
Nucleon resonances extracted from Bonn-Gatchina coupled channel analysis NSTAR 2011 52
γp→ π0p, P
-1
0
1
-1 1
1850
-1
0
1
-1 1
1860
-1
0
1
-1 1
1873
-1
0
1
-1 1
1890
-1
0
1
-1 1
1898
-1
0
1
-1 1
1922
-1
0
1
-1 1
1947
-1
0
1
-1 1
1970
-1
0
1
-1 1
1973
-1
0
1
-1 1
1978
-1
0
1
-1 1
1985
-1
0
1
-1 1
1987
-1
0
1
-1 1
1989
-1
0
1
-1 1
2018
-1
0
1
-1 1
2064
-1
0
1
-1 1
2097
-1
0
1
-1 1
2104
-1
0
1
-1 1
2109
-1
0
1
-1 1
2111
-1
0
1
-1 1
2115
-1
0
1
-1 1
2117
-1
0
1
-1 1
2153
-1
0
1
-1 1
2196
-1
0
1
-1 1
2334
-1
0
1
-1 1
2342
Nucleon resonances extracted from Bonn-Gatchina coupled channel analysis NSTAR 2011 53
γp→ π0p, T
-1
0
1
-1 1
1201
-1
0
1
-1 1
1205
-1
0
1
-1 1
1217
-1
0
1
-1 1
1221
-1
0
1
-1 1
1236
-1
0
1
-1 1
1240
-1
0
1
-1 1
1247
-1
0
1
-1 1
1262
-1
0
1
-1 1
1270
-1
0
1
-1 1
1277
-1
0
1
-1 1
1281
-1
0
1
-1 1
1292
-1
0
1
-1 1
1295
-1
0
1
-1 1
1306
-1
0
1
-1 1
1313
-1
0
1
-1 1
1317
-1
0
1
-1 1
1320
-1
0
1
-1 1
1328
-1
0
1
-1 1
1335
-1
0
1
-1 1
1338
-1
0
1
-1 1
1342
-1
0
1
-1 1
1345
-1
0
1
-1 1
1349
-1
0
1
-1 1
1352
-1
0
1
-1 1
1366
γp→ π0p, T
-1
0
1
-1 1
1369
-1
0
1
-1 1
1376
-1
0
1
-1 1
1383
-1
0
1
-1 1
1390
-1
0
1
-1 1
1400
-1
0
1
-1 1
1403
-1
0
1
-1 1
1406
-1
0
1
-1 1
1410
-1
0
1
-1 1
1413
-1
0
1
-1 1
1426
-1
0
1
-1 1
1430
-1
0
1
-1 1
1436
-1
0
1
-1 1
1443
-1
0
1
-1 1
1449
-1
0
1
-1 1
1456
-1
0
1
-1 1
1472
-1
0
1
-1 1
1475
-1
0
1
-1 1
1481
-1
0
1
-1 1
1484
-1
0
1
-1 1
1500
-1
0
1
-1 1
1506
-1
0
1
-1 1
1513
-1
0
1
-1 1
1525
-1
0
1
-1 1
1531
-1
0
1
-1 1
1537
Nucleon resonances extracted from Bonn-Gatchina coupled channel analysis NSTAR 2011 54
γp→ π0p, T
-1
0
1
-1 1
1543
-1
0
1
-1 1
1546
-1
0
1
-1 1
1555
-1
0
1
-1 1
1558
-1
0
1
-1 1
1570
-1
0
1
-1 1
1573
-1
0
1
-1 1
1579
-1
0
1
-1 1
1585
-1
0
1
-1 1
1597
-1
0
1
-1 1
1600
-1
0
1
-1 1
1603
-1
0
1
-1 1
1609
-1
0
1
-1 1
1617
-1
0
1
-1 1
1629
-1
0
1
-1 1
1632
-1
0
1
-1 1
1643
-1
0
1
-1 1
1655
-1
0
1
-1 1
1658
-1
0
1
-1 1
1660
-1
0
1
-1 1
1666
-1
0
1
-1 1
1688
-1
0
1
-1 1
1716
-1
0
1
-1 1
1743
-1
0
1
-1 1
1770
-1
0
1
-1 1
1796
γp→ π0p, T
-1
0
1
-1 1
1822
-1
0
1
-1 1
1848
-1
0
1
-1 1
1873
-1
0
1
-1 1
1898
-1
0
1
-1 1
1922
-1
0
1
-1 1
1970
-1
0
1
-1 1
2018
-1
0
1
-1 1
2064
-1
0
1
-1 1
2109
-1
0
1
-1 1
2153
-1
0
1
-1 1
2196
Nucleon resonances extracted from Bonn-Gatchina coupled channel analysis NSTAR 2011 55
γp→ π0p, G
-1
0
1
-1 1
1232
-1
0
1
-1 1
1822
-1
0
1
-1 1
1873
-1
0
1
-1 1
1922
-1
0
1
-1 1
1970
-1
0
1
-1 1
2018
-1
0
1
-1 1
2064
-1
0
1
-1 1
2109
-1
0
1
-1 1
2153
-1
0
1
-1 1
2196
-1
0
1
-1 1
2238
γp→ π0p, H
-1
0
1
-1 1
1822
-1
0
1
-1 1
1873
-1
0
1
-1 1
1922
-1
0
1
-1 1
1970
-1
0
1
-1 1
2018
-1
0
1
-1 1
2064
-1
0
1
-1 1
2109
-1
0
1
-1 1
2153
-1
0
1
-1 1
2196
-1
0
1
-1 1
2238
Nucleon resonances extracted from Bonn-Gatchina coupled channel analysis NSTAR 2011 56
γp→ π0p, Ox
-1
0
1
-1 1
1313
-1
0
1
-1 1
1603
-1
0
1
-1 1
1632
-1
0
1
-1 1
1660
-1
0
1
-1 1
1688
-1
0
1
-1 1
1716
-1
0
1
-1 1
1743
γp→ π0p, Oz
-1
0
1
-1 1
1313
-1
0
1
-1 1
1603
-1
0
1
-1 1
1632
-1
0
1
-1 1
1660
-1
0
1
-1 1
1688
-1
0
1
-1 1
1716
-1
0
1
-1 1
1743
Nucleon resonances extracted from Bonn-Gatchina coupled channel analysis NSTAR 2011 57
γp→ π+n
0
10
-1 1
1104
0
10
-1 1
1112
0
10
-1 1
1121
0
10
-1 1
1129
0
10
-1 1
1137
0
20
-1 1
1145
0
20
-1 1
1162
0
20
-1 1
1178
0
20
-1 1
1194
0
20
-1 1
1209
0
20
-1 1
1225
0
20
-1 1
1240
0
20
-1 1
1255
0
20
-1 1
1270
0
20
-1 1
1284
0
20
-1 1
1299
0
20
-1 1
1313
0
20
-1 1
1324
0
20
-1 1
1338
0
20
-1 1
1352
0
20
-1 1
1366
0
20
-1 1
1380
0
20
-1 1
1393
0
20
-1 1
1406
0
20
-1 1
1420
γp→ π+n
0
10
-1 1
1433
0
10
-1 1
1446
0
10
-1 1
1459
0
10
-1 1
1472
0
10
-1 1
1484
0
10
-1 1
1497
0
10
-1 1
1509
0
10
-1 1
1522
0
10
-1 1
1534
Nucleon resonances extracted from Bonn-Gatchina coupled channel analysis NSTAR 2011 58
γp→ π+n
0
10
-1 10
10
-1 10
10
-1 10
10
-1 10
10
-1 1
0
5
10
-1 10
5
10
-1 10
5
10
-1 10
5
10
-1 10
5
10
-1 1
0
2.5
5
-1 10
2.5
5
-1 10
2.5
5
-1 10
2.5
5
-1 10
2.5
5
-1 1
0
2.5
5
-1 10
2.5
5
-1 10
2.5
5
-1 10
2.5
5
-1 10
2.5
5
-1 1
0
2.5
5
-1 10
2.5
5
-1 10
2.5
5
-1 10
2.5
5
-1 10
2.5
5
-1 1
γp→ π+n
0
0.5
1
-1 10
0.5
1
-1 10
0.5
1
-1 10
0.5
1
-1 10
0.5
1
-1 1
0
0.5
1
-1 10
0.5
1
-1 10
0.5
1
-1 10
0.5
1
-1 1
Nucleon resonances extracted from Bonn-Gatchina coupled channel analysis NSTAR 2011 59
γp→ π+n, 3/2-1/2
-25
0
-1 1
1104
-25
0
-1 1
1112
-25
0
-1 1
1121
-25
0
-1 1
1129
-25
0
-1 1
1137
-30
5
40
-1 1
1145
-30
5
40
-1 1
1162
-30
5
40
-1 1
1178
-30
5
40
-1 1
1194
-30
5
40
-1 1
1209
-20
5
30
-1 1
1225
-20
5
30
-1 1
1240
-20
5
30
-1 1
1255
-20
5
30
-1 1
1270
-20
5
30
-1 1
1284
-20
0
20
-1 1
1299
-20
0
20
-1 1
1313
-20
0
20
-1 1
1324
-20
0
20
-1 1
1338
-20
0
20
-1 1
1352
-20
0
20
-1 1
1366
-20
0
20
-1 1
1380
-20
0
20
-1 1
1393
-20
0
20
-1 1
1406
-20
0
20
-1 1
1420
γp→ π+n, 3/2-1/2
-20
0
20
-1 1
1433
-20
0
20
-1 1
1446
-20
0
20
-1 1
1459
-20
0
20
-1 1
1472
-20
0
20
-1 1
1484
-20
0
20
-1 1
1497
-20
0
20
-1 1
1509
-20
0
20
-1 1
1522
-20
0
20
-1 1
1534
Nucleon resonances extracted from Bonn-Gatchina coupled channel analysis NSTAR 2011 60
γp→ π+n, Σ
-1
0
1
-1 1
1201
-1
0
1
-1 1
1209
-1
0
1
-1 1
1217
-1
0
1
-1 1
1225
-1
0
1
-1 1
1228
-1
0
1
-1 1
1232
-1
0
1
-1 1
1240
-1
0
1
-1 1
1247
-1
0
1
-1 1
1255
-1
0
1
-1 1
1259
-1
0
1
-1 1
1262
-1
0
1
-1 1
1270
-1
0
1
-1 1
1277
-1
0
1
-1 1
1281
-1
0
1
-1 1
1284
-1
0
1
-1 1
1292
-1
0
1
-1 1
1295
-1
0
1
-1 1
1303
-1
0
1
-1 1
1306
-1
0
1
-1 1
1310
-1
0
1
-1 1
1313
-1
0
1
-1 1
1317
-1
0
1
-1 1
1320
-1
0
1
-1 1
1328
-1
0
1
-1 1
1331
γp→ π+n, Σ
-1
0
1
-1 1
1335
-1
0
1
-1 1
1342
-1
0
1
-1 1
1349
-1
0
1
-1 1
1356
-1
0
1
-1 1
1362
-1
0
1
-1 1
1369
-1
0
1
-1 1
1376
-1
0
1
-1 1
1383
-1
0
1
-1 1
1390
-1
0
1
-1 1
1400
-1
0
1
-1 1
1403
-1
0
1
-1 1
1406
-1
0
1
-1 1
1410
-1
0
1
-1 1
1416
-1
0
1
-1 1
1426
-1
0
1
-1 1
1430
-1
0
1
-1 1
1433
-1
0
1
-1 1
1436
-1
0
1
-1 1
1446
-1
0
1
-1 1
1449
-1
0
1
-1 1
1452
-1
0
1
-1 1
1456
-1
0
1
-1 1
1465
-1
0
1
-1 1
1468
-1
0
1
-1 1
1472
Nucleon resonances extracted from Bonn-Gatchina coupled channel analysis NSTAR 2011 61
γp→ π+n, Σ
-1
0
1
-1 1
1475
-1
0
1
-1 1
1481
-1
0
1
-1 1
1491
-1
0
1
-1 1
1500
-1
0
1
-1 1
1503
-1
0
1
-1 1
1509
-1
0
1
-1 1
1513
-1
0
1
-1 1
1519
-1
0
1
-1 1
1522
-1
0
1
-1 1
1528
-1
0
1
-1 1
1531
-1
0
1
-1 1
1534
-1
0
1
-1 1
1543
-1
0
1
-1 1
1546
-1
0
1
-1 1
1555
-1
0
1
-1 1
1561
-1
0
1
-1 1
1567
-1
0
1
-1 1
1573
-1
0
1
-1 1
1576
-1
0
1
-1 1
1582
-1
0
1
-1 1
1594
-1
0
1
-1 1
1603
-1
0
1
-1 1
1609
-1
0
1
-1 1
1612
-1
0
1
-1 1
1626
γp→ π+n, Σ
-1
0
1
-1 1
1632
-1
0
1
-1 1
1660
-1
0
1
-1 1
1688
-1
0
1
-1 1
1716
-1
0
1
-1 1
1743
-1
0
1
-1 1
1770
-1
0
1
-1 1
1796
-1
0
1
-1 1
1822
-1
0
1
-1 1
1848
-1
0
1
-1 1
1873
-1
0
1
-1 1
1898
-1
0
1
-1 1
1900
-1
0
1
-1 1
1922
-1
0
1
-1 1
1947
-1
0
1
-1 1
1970
-1
0
1
-1 1
1994
-1
0
1
-1 1
2018
-1
0
1
-1 1
2041
-1
0
1
-1 1
2064
-1
0
1
-1 1
2086
-1
0
1
-1 1
2109
-1
0
1
-1 1
2131
-1
0
1
-1 1
2153
-1
0
1
-1 1
2196
-1
0
1
-1 1
2259
Nucleon resonances extracted from Bonn-Gatchina coupled channel analysis NSTAR 2011 62
γp→ π+n, P
-1
0
1
-1 1
1201
-1
0
1
-1 1
1217
-1
0
1
-1 1
1232
-1
0
1
-1 1
1247
-1
0
1
-1 1
1262
-1
0
1
-1 1
1270
-1
0
1
-1 1
1277
-1
0
1
-1 1
1288
-1
0
1
-1 1
1292
-1
0
1
-1 1
1313
-1
0
1
-1 1
1345
-1
0
1
-1 1
1349
-1
0
1
-1 1
1362
-1
0
1
-1 1
1383
-1
0
1
-1 1
1403
-1
0
1
-1 1
1410
-1
0
1
-1 1
1416
-1
0
1
-1 1
1430
-1
0
1
-1 1
1439
-1
0
1
-1 1
1449
-1
0
1
-1 1
1468
-1
0
1
-1 1
1481
-1
0
1
-1 1
1484
-1
0
1
-1 1
1513
-1
0
1
-1 1
1543
γp→ π+n, P
-1
0
1
-1 1
1573
-1
0
1
-1 1
1582
-1
0
1
-1 1
1600
-1
0
1
-1 1
1603
-1
0
1
-1 1
1632
-1
0
1
-1 1
1658
-1
0
1
-1 1
1660
-1
0
1
-1 1
1694
-1
0
1
-1 1
1716
-1
0
1
-1 1
1770
-1
0
1
-1 1
1822
-1
0
1
-1 1
1873
-1
0
1
-1 1
1898
-1
0
1
-1 1
1947
-1
0
1
-1 1
1994
-1
0
1
-1 1
2041
-1
0
1
-1 1
2086
-1
0
1
-1 1
2131
-1
0
1
-1 1
2196
-1
0
1
-1 1
2259
Nucleon resonances extracted from Bonn-Gatchina coupled channel analysis NSTAR 2011 63
γp→ π+n, G
-1
0
1
-1 1
1217
-1
0
1
-1 1
1232
-1
0
1
-1 1
1240
-1
0
1
-1 1
1262
-1
0
1
-1 1
1481
-1
0
1
-1 1
1513
-1
0
1
-1 1
1543
-1
0
1
-1 1
1573
-1
0
1
-1 1
1603
-1
0
1
-1 1
1632
-1
0
1
-1 1
1660
-1
0
1
-1 1
1674
-1
0
1
-1 1
1702
-1
0
1
-1 1
1730
-1
0
1
-1 1
1757
-1
0
1
-1 1
1783
-1
0
1
-1 1
1809
-1
0
1
-1 1
1835
-1
0
1
-1 1
1860
-1
0
1
-1 1
1885
-1
0
1
-1 1
1910
-1
0
1
-1 1
1934
-1
0
1
-1 1
1959
-1
0
1
-1 1
1982
-1
0
1
-1 1
2006
γp→ π+n, G
-1
0
1
-1 1
2029
-1
0
1
-1 1
2052
-1
0
1
-1 1
2075
-1
0
1
-1 1
2097
Nucleon resonances extracted from Bonn-Gatchina coupled channel analysis NSTAR 2011 64
γp→ π+n, H
-1
0
1
-1 1
1217
-1
0
1
-1 1
1240
-1
0
1
-1 1
1262
-1
0
1
-1 1
1413
-1
0
1
-1 1
1416
-1
0
1
-1 1
1449
-1
0
1
-1 1
1481
-1
0
1
-1 1
1513
-1
0
1
-1 1
1516
-1
0
1
-1 1
1528
-1
0
1
-1 1
1540
-1
0
1
-1 1
1543
-1
0
1
-1 1
1573
-1
0
1
-1 1
1588
-1
0
1
-1 1
1603
-1
0
1
-1 1
1632
-1
0
1
-1 1
1635
-1
0
1
-1 1
1660
-1
0
1
-1 1
1674
-1
0
1
-1 1
1702
-1
0
1
-1 1
1730
-1
0
1
-1 1
1757
-1
0
1
-1 1
1783
-1
0
1
-1 1
1809
-1
0
1
-1 1
1835
γp→ π+n, H
-1
0
1
-1 1
1860
-1
0
1
-1 1
1885
-1
0
1
-1 1
1910
-1
0
1
-1 1
1934
-1
0
1
-1 1
1959
-1
0
1
-1 1
1982
-1
0
1
-1 1
2006
-1
0
1
-1 1
2029
-1
0
1
-1 1
2052
Nucleon resonances extracted from Bonn-Gatchina coupled channel analysis NSTAR 2011 65
γp→ π+n, T
-1
0
1
-1 1
1201
-1
0
1
-1 1
1205
-1
0
1
-1 1
1213
-1
0
1
-1 1
1217
-1
0
1
-1 1
1221
-1
0
1
-1 1
1225
-1
0
1
-1 1
1232
-1
0
1
-1 1
1236
-1
0
1
-1 1
1244
-1
0
1
-1 1
1247
-1
0
1
-1 1
1251
-1
0
1
-1 1
1255
-1
0
1
-1 1
1262
-1
0
1
-1 1
1266
-1
0
1
-1 1
1270
-1
0
1
-1 1
1273
-1
0
1
-1 1
1277
-1
0
1
-1 1
1281
-1
0
1
-1 1
1284
-1
0
1
-1 1
1288
-1
0
1
-1 1
1292
-1
0
1
-1 1
1295
-1
0
1
-1 1
1303
-1
0
1
-1 1
1306
-1
0
1
-1 1
1313
γp→ π+n, T
-1
0
1
-1 1
1317
-1
0
1
-1 1
1320
-1
0
1
-1 1
1328
-1
0
1
-1 1
1331
-1
0
1
-1 1
1338
-1
0
1
-1 1
1342
-1
0
1
-1 1
1349
-1
0
1
-1 1
1359
-1
0
1
-1 1
1362
-1
0
1
-1 1
1366
-1
0
1
-1 1
1369
-1
0
1
-1 1
1373
-1
0
1
-1 1
1376
-1
0
1
-1 1
1380
-1
0
1
-1 1
1383
-1
0
1
-1 1
1386
-1
0
1
-1 1
1390
-1
0
1
-1 1
1393
-1
0
1
-1 1
1403
-1
0
1
-1 1
1406
-1
0
1
-1 1
1410
-1
0
1
-1 1
1413
-1
0
1
-1 1
1426
-1
0
1
-1 1
1430
-1
0
1
-1 1
1436
Nucleon resonances extracted from Bonn-Gatchina coupled channel analysis NSTAR 2011 66
γp→ π+n, T
-1
0
1
-1 1
1446
-1
0
1
-1 1
1449
-1
0
1
-1 1
1459
-1
0
1
-1 1
1462
-1
0
1
-1 1
1465
-1
0
1
-1 1
1468
-1
0
1
-1 1
1481
-1
0
1
-1 1
1484
-1
0
1
-1 1
1488
-1
0
1
-1 1
1491
-1
0
1
-1 1
1503
-1
0
1
-1 1
1506
-1
0
1
-1 1
1513
-1
0
1
-1 1
1516
-1
0
1
-1 1
1525
-1
0
1
-1 1
1528
-1
0
1
-1 1
1534
-1
0
1
-1 1
1537
-1
0
1
-1 1
1540
-1
0
1
-1 1
1543
-1
0
1
-1 1
1555
-1
0
1
-1 1
1561
-1
0
1
-1 1
1564
-1
0
1
-1 1
1567
-1
0
1
-1 1
1573
γp→ π+n, T
-1
0
1
-1 1
1585
-1
0
1
-1 1
1588
-1
0
1
-1 1
1591
-1
0
1
-1 1
1594
-1
0
1
-1 1
1603
-1
0
1
-1 1
1612
-1
0
1
-1 1
1615
-1
0
1
-1 1
1620
-1
0
1
-1 1
1626
-1
0
1
-1 1
1632
-1
0
1
-1 1
1635
-1
0
1
-1 1
1638
-1
0
1
-1 1
1643
-1
0
1
-1 1
1660
-1
0
1
-1 1
1663
-1
0
1
-1 1
1669
-1
0
1
-1 1
1672
-1
0
1
-1 1
1688
-1
0
1
-1 1
1716
-1
0
1
-1 1
1719
-1
0
1
-1 1
1770
-1
0
1
-1 1
1822
-1
0
1
-1 1
1873
-1
0
1
-1 1
1898
-1
0
1
-1 1
1922
Nucleon resonances extracted from Bonn-Gatchina coupled channel analysis NSTAR 2011 67
γp→ ηp
0
2.5
5
7.5
10
12.5
15
17.5
1600 1800 2000 2200 2400
M(γp), MeV
γp→ ηp
0
0.5
1
1.5
-1 0 1
1491
0
0.5
1
1.5
-1 0 1
1496
0
0.5
1
1.5
-1 0 1
1501
0
0.5
1
1.5
-1 0 1
1506
0
0.5
1
1.5
-1 0 1
1512
0
0.5
1
1.5
-1 0 1
1517
0
0.5
1
1.5
-1 0 1
1523
0
0.5
1
1.5
-1 0 1
1528
0
0.5
1
1.5
-1 0 1
1533
0
0.5
1
1.5
-1 0 1
1537
Nucleon resonances extracted from Bonn-Gatchina coupled channel analysis NSTAR 2011 68
γp→ ηp
0
1
-1 0 1
1588
0
1
-1 0 1
1617
0
1
-1 0 1
1646
0
1
-1 0 1
1674
0
0.5
-1 0 1
1702
0
0.5
-1 0 1
1730
0
0.5
-1 0 1
1757
0
0.5
-1 0 1
1783
0
0.25
0.5
-1 0 1
1809
0
0.25
0.5
-1 0 1
1835
0
0.25
0.5
-1 0 1
1860
0
0.25
0.5
-1 0 1
1885
0
0.25
0.5
-1 0 1
1910
0
0.25
0.5
-1 0 1
1934
0
0.25
0.5
-1 0 1
1959
0
0.25
0.5
-1 0 1
1982
0
0.25
0.5
-1 0 1
2006
0
0.25
0.5
-1 0 1
2029
0
0.25
0.5
-1 0 1
2052
0
0.25
0.5
-1 0 1
2075
γp→ ηp
0
0.25
0.5
-1 0 1
2097
0
0.25
0.5
-1 0 1
2120
0
0.25
0.5
-1 0 1
2142
0
0.25
0.5
-1 0 1
2163
0
0.25
0.5
-1 0 1
2185
0
0.25
0.5
-1 0 1
2206
0
0.25
0.5
-1 0 1
2228
0
0.25
0.5
-1 0 1
2248
0
0.25
0.5
-1 0 1
2269
0
0.25
0.5
-1 0 1
2290
0
0.25
0.5
-1 0 1
2310
0
0.25
0.5
-1 0 1
2330
0
0.25
0.5
-1 0 1
2350
0
0.25
0.5
-1 0 1
2370
Nucleon resonances extracted from Bonn-Gatchina coupled channel analysis NSTAR 2011 69
γp→ ηp, Σ
0
0.2
0.4
-1 0 1
1498
0
0.2
0.4
-1 0 1
1519
0
0.2
0.4
-1 0 1
1549
0
0.2
0.4
-1 0 1
1584
0
0.5
1
-1 0 1
1621
0
0.5
1
-1 0 1
1655
0
0.5
1
-1 0 1
1689
0
0.5
1
-1 0 1
1719
0
0.5
1
-1 0 1
1754
0
0.5
1
-1 0 1
1783
0
0.5
1
-1 0 1
1811
0
0.5
1
-1 0 1
1838
0
0.5
1
-1 0 1
1863
0
0.5
1
-1 0 1
1887
0
0.5
1
-1 0 1
1909
0
0.5
1
-1 0 1
1933
Nucleon resonances extracted from Bonn-Gatchina coupled channel analysis NSTAR 2011 70
Nucleon resonances extracted from Bonn-Gatchina coupled channel analysis NSTAR 2011 71
1678
Cx Cz
-1
0
1
1733 1787
1838-1
0
1
1889 1939
1987-1
0
1
2035 2081
2126-1
0
1
2169 2212
2255-1
0
1
2296 2338
2377-1
0
1
0-0.5 0.5
2416
0-0.5 0.5
2454
0-0.5 0.5
cos θK
Nucleon resonances extracted from Bonn-Gatchina coupled channel analysis NSTAR 2011 72
-1
0
1
-1 0 1
-1
0
1
-1 0 1
-1
0
1
-1 0 1
-1
0
1
-1 0 1
-1
0
1
-1 0 1
-1
0
1
-1 0 1
-1
0
1
-1 0 1
-1
0
1
-1 0 1
-1
0
1
-1 0 1
-1
0
1
-1 0 1
-1
0
1
-1 0 1
-1
0
1
-1 0 1
-1
0
1
-1 0 1
-1
0
1
-1 0 1
-1
0
1
-1 0 1
-1
0
1
-1 0 1
-1
0
1
-1 0 1
-1
0
1
-1 0 1
-1
0
1
-1 0 1
-1
0
1
-1 0 1
-1
0
1
-1 0 1
-1
0
1
-1 0 1
Nucleon resonances extracted from Bonn-Gatchina coupled channel analysis NSTAR 2011 73
-1
0
1
-1 0 1
-1
0
1
-1 0 1
-1
0
1
-1 0 1
-1
0
1
-1 0 1
-1
0
1
-1 0 1
-1
0
1
-1 0 1
-1
0
1
-1 0 1
-1
0
1
-1 0 1
-1
0
1
-1 0 1
-1
0
1
-1 0 1
-1
0
1
-1 0 1
Nucleon resonances extracted from Bonn-Gatchina coupled channel analysis NSTAR 2011 74
γp→ K+Σ0
0
0.5
1
1.5
2
2.5
3
1600 1800 2000 2200 2400 2600
M(γp), MeV
γp→ K+Σ0
0
0.05
-1 1
1713
0
0.1
-1 1
1726
0
0.1
-1 1
1740
0
0.1
-1 1
1753
0
0.1
-1 1
1767
0
0.1
-1 1
1780
0
0.2
-1 1
1793
0
0.2
-1 1
1806
0
0.2
-1 1
1819
0
0.2
-1 1
1832
0
0.2
-1 1
1845
0
0.2
-1 1
1858
0
0.2
-1 1
1870
0
0.2
-1 1
1883
0
0.2
-1 1
1896
0
0.2
-1 1
1908
0
0.2
-1 1
1920
0
0.2
-1 1
1933
0
0.2
-1 1
1945
0
0.2
-1 1
1957
0
0.2
-1 1
1969
0
0.2
-1 1
1980
0
0.2
-1 1
1993
0
0.2
-1 1
2004
0
0.2
-1 1
2017
Nucleon resonances extracted from Bonn-Gatchina coupled channel analysis NSTAR 2011 75
γp→ K+Σ0
0
0.2
-1 1
2028
0
0.2
-1 1
2040
0
0.2
-1 1
2052
0
0.2
-1 1
2063
0
0.2
-1 1
2074
0
0.2
-1 1
2086
0
0.2
-1 1
2097
0
0.2
-1 1
2109
0
0.2
-1 1
2120
0
0.2
-1 1
2131
0
0.2
-1 1
2142
0
0.2
-1 1
2153
0
0.2
-1 1
2164
0
0.2
-1 1
2175
0
0.2
-1 1
2185
0
0.2
-1 1
2196
0
0.2
-1 1
2207
0
0.2
-1 1
2217
0
0.2
-1 1
2228
0
0.1
-1 1
2239
0
0.2
-1 1
2249
0
0.2
-1 1
2260
0
0.1
-1 1
2270
0
0.2
-1 1
2281
0
0.1
-1 1
2291
γp→ K+Σ0
0
0.2
-1 1
2301
0
0.2
-1 1
2332
0
0.2
-1 1
2342
0
0.2
-1 1
2352
0
0.2
-1 1
2362
0
0.2
-1 1
2372
0
0.2
-1 1
2382
0
0.2
-1 1
2392
0
0.2
-1 1
2402
0
0.2
-1 1
2412
0
0.2
-1 1
2421
0
0.2
-1 1
2431
0
0.2
-1 1
2440
0
0.2
-1 1
2450
0
0.2
-1 1
2459
0
0.2
-1 1
2468
0
0.2
-1 1
2478
0
0.2
-1 1
2487
0
0.2
-1 1
2496
0
0.2
-1 1
2505
0
0.2
-1 1
2515
0
0.2
-1 1
2524
0
0.2
-1 1
2533
Nucleon resonances extracted from Bonn-Gatchina coupled channel analysis NSTAR 2011 76
γp→ K0Σ+
0
0.1
0.2
0.3
0.4
0.5
0.6
0.7
1600 1800 2000 2200 2400 2600
M(γp), MeV
γp→ K0Σ+
0
0.02
0.04
-1 0 1
1796
0
0.02
0.04
0.06
-1 0 1
1898
0
0.02
0.04
0.06
-1 0 1
1994
0
0.01
0.02
0.03
-1 0 1
2086
0
0.01
0.02
-1 0 1
2174
0
0.01
0.02
-1 0 1
2259
Nucleon resonances extracted from Bonn-Gatchina coupled channel analysis NSTAR 2011 77
γp→ K+Σ0, P
-1
0
1
-1 1-1
0
1
-1 1-1
0
1
-1 1-1
0
1
-1 1-1
0
1
-1 1
-1
0
1
-1 1-1
0
1
-1 1-1
0
1
-1 1-1
0
1
-1 1-1
0
1
-1 1
-1
0
1
-1 1-1
0
1
-1 1-1
0
1
-1 1-1
0
1
-1 1-1
0
1
-1 1
-1
0
1
-1 1-1
0
1
-1 1-1
0
1
-1 1-1
0
1
-1 1-1
0
1
-1 1
-1
0
1
-1 1-1
0
1
-1 1-1
0
1
-1 1
1787
Cx Cz
-2
0
2
1838 1889
1939-2
0
2
1987 2035
2081-2
0
2
2126 2169
2212-2
0
2
2255 2296
2338-2
0
2
2377
0-0.5 0.5
2416
0-0.5 0.5
2454-2
0
2
0-0.5 0.5cos θK
Nucleon resonances extracted from Bonn-Gatchina coupled channel analysis NSTAR 2011 78
γp→ K+Σ0, Σ
-1
-0.5
0
0.5
1
-1 0 1
1755
-1
-0.5
0
0.5
1
-1 0 1
1782
-1
-0.5
0
0.5
1
-1 0 1
1808
-1
-0.5
0
0.5
1
-1 0 1
1833
-1
-0.5
0
0.5
1
-1 0 1
1858
-1
-0.5
0
0.5
1
-1 0 1
1883
-1
-0.5
0
0.5
1
-1 0 1
1906
γp→ K+Σ0, Σ
0
0.25
0.5
0.75
0.6 0.8 1
1947
0
0.25
0.5
0.75
0.6 0.8 1
1994
0
0.25
0.5
0.75
0.6 0.8 1
2041
0
0.25
0.5
0.75
0.6 0.8 1
2086
0
0.25
0.5
0.75
0.6 0.8 1
2131
0
0.25
0.5
0.75
0.6 0.8 1
2174
0
0.25
0.5
0.75
0.6 0.8 1
2217
0
0.25
0.5
0.75
0.6 0.8 1
2259
0
0.25
0.5
0.75
0.6 0.8 1
2300
Nucleon resonances extracted from Bonn-Gatchina coupled channel analysis NSTAR 2011 79
π−p → nπ0π0 (Crystal Ball) total cross section
0
0.3
0.6
0.9
1.2
1.5
1.8
2.1
2.4
1.3 1.35 1.4 1.45 1.5
M(πp), GeV/c2
σ tot ,
mb
Fit of the data
P11 -partial wave
D13 -partial wave
S11 -partial wave
Nucleon resonances extracted from Bonn-Gatchina coupled channel analysis NSTAR 2011 80
π−p → nπ0π0 (Crystal Ball)Differential cross sections for 333,472 and 551 MeV/c data.
1.02 1.04 1.06 1.08 1.1 1.12 1.14 1.16 1.18 1.20
100
200
300
400
500
600
700
800
900
M230373 0333 p)πM ( 0333 p)πM ( 0333 p)πM ( 0333 p)πM ( 0333 p)πM ( 0333
0.22 0.24 0.26 0.28 0.3 0.32 0.34 0.36 0.38 0.40
200
400
600
800
1000
1200
M120373 0333)π πM ( 0333)π πM ( 0333)π πM ( 0333)π πM ( 0333)π πM ( 0333
-1 -0.5 0 0.5 1
150
200
250
300
350
400
450
500
Z10373 0333)π(Θcos 0333)π(Θcos 0333)π(Θcos 0333)π(Θcos 0333)π(Θcos 0333
-1 -0.5 0 0.5 1
200
250
300
350
400
450
500
550
Z30373 0333(p)Θcos 0333(p)Θcos 0333(p)Θcos 0333(p)Θcos 0333(p)Θcos 0333
-1 -0.5 0 0.5 10
100
200
300
400
500
600
700
800
900
Z230373 0333 p)π(Θcos 0333 p)π(Θcos 0333 p)π(Θcos 0333 p)π(Θcos 0333 p)π(Θcos 0333
-1 -0.5 0 0.5 1
200
250
300
350
400
450
500
550Z120373 0333)ππ(Θcos 0333)ππ(Θcos 0333)ππ(Θcos 0333)ππ(Θcos 0333)ππ(Θcos 0333
1.05 1.1 1.15 1.2 1.250
200
400
600
800
1000
1200
1400
M230472 0472 p)πM ( 0472 p)πM ( 0472 p)πM ( 0472 p)πM ( 0472 p)πM ( 0472
0.25 0.3 0.35 0.4 0.450
200
400
600
800
1000
1200
1400
1600
1800
2000
2200
M120472 0472)π πM ( 0472)π πM ( 0472)π πM ( 0472)π πM ( 0472)π πM ( 0472
-1 -0.5 0 0.5 1
200
400
600
800
1000
Z10472 0472)π(Θcos 0472)π(Θcos 0472)π(Θcos 0472)π(Θcos 0472)π(Θcos 0472
-1 -0.5 0 0.5 1
200
400
600
800
1000
1200
1400
Z30472 0472(p)Θcos 0472(p)Θcos 0472(p)Θcos 0472(p)Θcos 0472(p)Θcos 0472
-1 -0.5 0 0.5 1
200
400
600
800
1000
1200
1400
1600
1800
2000
2200
2400Z230472 0472 p)π(Θcos 0472 p)π(Θcos 0472 p)π(Θcos 0472 p)π(Θcos 0472 p)π(Θcos 0472
-1 -0.5 0 0.5 1
400
500
600
700
800
900
1000
Z120472 0472)ππ(Θcos 0472)ππ(Θcos 0472)ππ(Θcos 0472)ππ(Θcos 0472)ππ(Θcos 0472
1.05 1.1 1.15 1.2 1.25 1.30
500
1000
1500
2000
2500
3000
3500
4000M230551 0551 p)πM ( 0551 p)πM ( 0551 p)πM ( 0551 p)πM ( 0551 p)πM ( 0551
0.25 0.3 0.35 0.4 0.45 0.50
1000
2000
3000
4000
5000M120551 0551)π πM ( 0551)π πM ( 0551)π πM ( 0551)π πM ( 0551)π πM ( 0551
-1 -0.5 0 0.5 1
500
1000
1500
2000
2500
3000
Z10551 0551)π(Θcos 0551)π(Θcos 0551)π(Θcos 0551)π(Θcos 0551)π(Θcos 0551
-1 -0.5 0 0.5 1500
1000
1500
2000
2500
3000
3500
4000
Z30551 0551(p)Θcos 0551(p)Θcos 0551(p)Θcos 0551(p)Θcos 0551(p)Θcos 0551
-1 -0.5 0 0.5 1
1000
2000
3000
4000
5000
Z230551 0551 p)π(Θcos 0551 p)π(Θcos 0551 p)π(Θcos 0551 p)π(Θcos 0551 p)π(Θcos 0551
-1 -0.5 0 0.5 1800
1000
1200
1400
1600
1800
2000
2200
2400
2600
2800
Z120551 0551)ππ(Θcos 0551)ππ(Θcos 0551)ππ(Θcos 0551)ππ(Θcos 0551)ππ(Θcos 0551
Nucleon resonances extracted from Bonn-Gatchina coupled channel analysis NSTAR 2011 81
π−p → nπ0π0 (Crystal Ball)Differential cross sections for 655, 691 and 733 MeV/c data.
1.05 1.1 1.15 1.2 1.25 1.3 1.35 1.40
500
1000
1500
2000
2500
3000
3500
4000
4500
M230655 0655 p)πM ( 0655 p)πM ( 0655 p)πM ( 0655 p)πM ( 0655 p)πM ( 0655
0.25 0.3 0.35 0.4 0.45 0.5 0.55 0.60
500
1000
1500
2000
2500
3000
3500
4000M120655 0655)π πM ( 0655)π πM ( 0655)π πM ( 0655)π πM ( 0655)π πM ( 0655
-1 -0.5 0 0.5 10
500
1000
1500
2000
2500
3000
3500Z10655 0655)π(Θcos 0655)π(Θcos 0655)π(Θcos 0655)π(Θcos 0655)π(Θcos 0655
-1 -0.5 0 0.5 1500
1000
1500
2000
2500
3000
3500
4000
Z30655 0655(p)Θcos 0655(p)Θcos 0655(p)Θcos 0655(p)Θcos 0655(p)Θcos 0655
-1 -0.5 0 0.5 1
1000
1500
2000
2500
3000
3500
4000
Z230655 0655 p)π(Θcos 0655 p)π(Θcos 0655 p)π(Θcos 0655 p)π(Θcos 0655 p)π(Θcos 0655
-1 -0.5 0 0.5 1500
1000
1500
2000
2500
3000
3500
4000
Z120655 0655)ππ(Θcos 0655)ππ(Θcos 0655)ππ(Θcos 0655)ππ(Θcos 0655)ππ(Θcos 0655
1.05 1.1 1.15 1.2 1.25 1.3 1.35 1.40
1000
2000
3000
4000
5000
M230691 0691 p)πM ( 0691 p)πM ( 0691 p)πM ( 0691 p)πM ( 0691 p)πM ( 0691
0.25 0.3 0.35 0.4 0.45 0.5 0.55 0.60
500
1000
1500
2000
2500
3000
3500
4000M120691 0691)π πM ( 0691)π πM ( 0691)π πM ( 0691)π πM ( 0691)π πM ( 0691
-1 -0.5 0 0.5 10
500
1000
1500
2000
2500
3000
3500Z10691 0691)π(Θcos 0691)π(Θcos 0691)π(Θcos 0691)π(Θcos 0691)π(Θcos 0691
-1 -0.5 0 0.5 1
500
1000
1500
2000
2500
3000
3500
4000
Z30691 0691(p)Θcos 0691(p)Θcos 0691(p)Θcos 0691(p)Θcos 0691(p)Θcos 0691
-1 -0.5 0 0.5 1
1000
1500
2000
2500
3000
3500
4000
Z230691 0691 p)π(Θcos 0691 p)π(Θcos 0691 p)π(Θcos 0691 p)π(Θcos 0691 p)π(Θcos 0691
-1 -0.5 0 0.5 1500
1000
1500
2000
2500
3000
3500
4000
4500Z120691 0691)ππ(Θcos 0691)ππ(Θcos 0691)ππ(Θcos 0691)ππ(Θcos 0691)ππ(Θcos 0691
1.05 1.1 1.15 1.2 1.25 1.3 1.35 1.4 1.450
1000
2000
3000
4000
5000
M230748 0733 p)πM ( 0733 p)πM ( 0733 p)πM ( 0733 p)πM ( 0733 p)πM ( 0733
0.25 0.3 0.35 0.4 0.45 0.5 0.55 0.6 0.650
500
1000
1500
2000
2500
3000
3500
M120748 0733)π πM ( 0733)π πM ( 0733)π πM ( 0733)π πM ( 0733)π πM ( 0733
-1 -0.5 0 0.5 10
500
1000
1500
2000
2500
3000
3500Z10748 0733)π(Θcos 0733)π(Θcos 0733)π(Θcos 0733)π(Θcos 0733)π(Θcos 0733
-1 -0.5 0 0.5 1500
1000
1500
2000
2500
3000
3500
Z30748 0733(p)Θcos 0733(p)Θcos 0733(p)Θcos 0733(p)Θcos 0733(p)Θcos 0733
-1 -0.5 0 0.5 1
1000
1500
2000
2500
3000
3500
4000Z230748 0733 p)π(Θcos 0733 p)π(Θcos 0733 p)π(Θcos 0733 p)π(Θcos 0733 p)π(Θcos 0733
-1 -0.5 0 0.5 1
500
1000
1500
2000
2500
3000
3500
4000
Z120748 0733)ππ(Θcos 0733)ππ(Θcos 0733)ππ(Θcos 0733)ππ(Θcos 0733)ππ(Θcos 0733
Nucleon resonances extracted from Bonn-Gatchina coupled channel analysis NSTAR 2011 82
γp → pπ0π0 (CB-ELSA)Differential cross sections for W=1400, 1500 and 1600 MeV data.
1.05 1.1 1.15 1.2 1.25 1.3 1.350
200
400
600
800
1000
M23M(123)-1.40 1.35<M<1.45 p)πM ( 1.35<M<1.45 p)πM ( 1.35<M<1.45 p)πM ( 1.35<M<1.45 p)πM ( 1.35<M<1.45 p)πM ( 1.35<M<1.45 p)πM ( 1.35<M<1.45
0.25 0.3 0.35 0.4 0.45 0.5 0.550
200
400
600
800
1000
M12M(123)-1.40 1.35<M<1.45)π πM ( 1.35<M<1.45)π πM ( 1.35<M<1.45)π πM ( 1.35<M<1.45)π πM ( 1.35<M<1.45)π πM ( 1.35<M<1.45)π πM ( 1.35<M<1.45
-1 -0.5 0 0.5 1
200
300
400
500
600
700
800
900
1000
Z1M(123)-1.40 1.35<M<1.45)π(Θcos 1.35<M<1.45)π(Θcos 1.35<M<1.45)π(Θcos 1.35<M<1.45)π(Θcos 1.35<M<1.45)π(Θcos 1.35<M<1.45)π(Θcos 1.35<M<1.45
-1 -0.5 0 0.5 10
200
400
600
800
1000
1200
Z3M(123)-1.40 1.35<M<1.45(p)Θcos 1.35<M<1.45(p)Θcos 1.35<M<1.45(p)Θcos 1.35<M<1.45(p)Θcos 1.35<M<1.45(p)Θcos 1.35<M<1.45(p)Θcos 1.35<M<1.45
-1 -0.5 0 0.5 1100
200
300
400
500
600
700
800
900
Z23M(123)-1.40 1.35<M<1.45 p)π(Θcos 1.35<M<1.45 p)π(Θcos 1.35<M<1.45 p)π(Θcos 1.35<M<1.45 p)π(Θcos 1.35<M<1.45 p)π(Θcos 1.35<M<1.45 p)π(Θcos 1.35<M<1.45
-1 -0.5 0 0.5 1300
400
500
600
700
800
900
1000Z12M(123)-1.40 1.35<M<1.45)ππ(Θcos 1.35<M<1.45)ππ(Θcos 1.35<M<1.45)ππ(Θcos 1.35<M<1.45)ππ(Θcos 1.35<M<1.45)ππ(Θcos 1.35<M<1.45)ππ(Θcos 1.35<M<1.45
1.05 1.1 1.15 1.2 1.25 1.3 1.35 1.4 1.450
500
1000
1500
2000
2500
3000
3500
M23M(123)-1.50 1.45<M<1.55 p)πM ( 1.45<M<1.55 p)πM ( 1.45<M<1.55 p)πM ( 1.45<M<1.55 p)πM ( 1.45<M<1.55 p)πM ( 1.45<M<1.55 p)πM ( 1.45<M<1.55
0.25 0.3 0.35 0.4 0.45 0.5 0.55 0.6 0.650
200
400
600
800
1000
1200
1400
1600
1800
2000
2200
M12M(123)-1.50 1.45<M<1.55)π πM ( 1.45<M<1.55)π πM ( 1.45<M<1.55)π πM ( 1.45<M<1.55)π πM ( 1.45<M<1.55)π πM ( 1.45<M<1.55)π πM ( 1.45<M<1.55
-1 -0.5 0 0.5 1
600
800
1000
1200
1400
1600
1800
Z1M(123)-1.50 1.45<M<1.55)π(Θcos 1.45<M<1.55)π(Θcos 1.45<M<1.55)π(Θcos 1.45<M<1.55)π(Θcos 1.45<M<1.55)π(Θcos 1.45<M<1.55)π(Θcos 1.45<M<1.55
-1 -0.5 0 0.5 10
500
1000
1500
2000
2500
Z3M(123)-1.50 1.45<M<1.55(p)Θcos 1.45<M<1.55(p)Θcos 1.45<M<1.55(p)Θcos 1.45<M<1.55(p)Θcos 1.45<M<1.55(p)Θcos 1.45<M<1.55(p)Θcos 1.45<M<1.55
-1 -0.5 0 0.5 1
200
400
600
800
1000
1200
1400
1600
1800
2000
2200Z23M(123)-1.50 1.45<M<1.55 p)π(Θcos 1.45<M<1.55 p)π(Θcos 1.45<M<1.55 p)π(Θcos 1.45<M<1.55 p)π(Θcos 1.45<M<1.55 p)π(Θcos 1.45<M<1.55 p)π(Θcos 1.45<M<1.55
-1 -0.5 0 0.5 1
500
1000
1500
2000
2500
3000
Z12M(123)-1.50 1.45<M<1.55)ππ(Θcos 1.45<M<1.55)ππ(Θcos 1.45<M<1.55)ππ(Θcos 1.45<M<1.55)ππ(Θcos 1.45<M<1.55)ππ(Θcos 1.45<M<1.55)ππ(Θcos 1.45<M<1.55
1.1 1.2 1.3 1.4 1.50
200
400
600
800
1000
1200
1400
1600
1800
M23M(123)-1.60 1.55<M<1.65 p)πM ( 1.55<M<1.65 p)πM ( 1.55<M<1.65 p)πM ( 1.55<M<1.65 p)πM ( 1.55<M<1.65 p)πM ( 1.55<M<1.65 p)πM ( 1.55<M<1.65
0.3 0.4 0.5 0.6 0.70
200
400
600
800
1000
1200
1400
M12M(123)-1.60 1.55<M<1.65)π πM ( 1.55<M<1.65)π πM ( 1.55<M<1.65)π πM ( 1.55<M<1.65)π πM ( 1.55<M<1.65)π πM ( 1.55<M<1.65)π πM ( 1.55<M<1.65
-1 -0.5 0 0.5 1
600
800
1000
1200
1400
Z1M(123)-1.60 1.55<M<1.65)π(Θcos 1.55<M<1.65)π(Θcos 1.55<M<1.65)π(Θcos 1.55<M<1.65)π(Θcos 1.55<M<1.65)π(Θcos 1.55<M<1.65)π(Θcos 1.55<M<1.65
-1 -0.5 0 0.5 10
200
400
600
800
1000
1200
1400
1600
Z3M(123)-1.60 1.55<M<1.65(p)Θcos 1.55<M<1.65(p)Θcos 1.55<M<1.65(p)Θcos 1.55<M<1.65(p)Θcos 1.55<M<1.65(p)Θcos 1.55<M<1.65(p)Θcos 1.55<M<1.65
-1 -0.5 0 0.5 1
200
400
600
800
1000
1200
1400
1600Z23M(123)-1.60 1.55<M<1.65 p)π(Θcos 1.55<M<1.65 p)π(Θcos 1.55<M<1.65 p)π(Θcos 1.55<M<1.65 p)π(Θcos 1.55<M<1.65 p)π(Θcos 1.55<M<1.65 p)π(Θcos 1.55<M<1.65
-1 -0.5 0 0.5 1200
400
600
800
1000
1200
1400
1600
1800
Z12M(123)-1.60 1.55<M<1.65)ππ(Θcos 1.55<M<1.65)ππ(Θcos 1.55<M<1.65)ππ(Θcos 1.55<M<1.65)ππ(Θcos 1.55<M<1.65)ππ(Θcos 1.55<M<1.65)ππ(Θcos 1.55<M<1.65
Nucleon resonances extracted from Bonn-Gatchina coupled channel analysis NSTAR 2011 83
γp → pπ0π0 (CB-ELSA)Differential cross sections for W=1700, 1800 and 1900 MeV data.
1.1 1.2 1.3 1.4 1.5 1.60
200
400
600
800
1000
1200
1400
1600
1800
M23M(123)-1.70 1.65<M<1.75 p)πM ( 1.65<M<1.75 p)πM ( 1.65<M<1.75 p)πM ( 1.65<M<1.75 p)πM ( 1.65<M<1.75 p)πM ( 1.65<M<1.75 p)πM ( 1.65<M<1.75
0.3 0.4 0.5 0.6 0.7 0.80
200
400
600
800
1000
1200
1400
1600M12M(123)-1.70 1.65<M<1.75)π πM ( 1.65<M<1.75)π πM ( 1.65<M<1.75)π πM ( 1.65<M<1.75)π πM ( 1.65<M<1.75)π πM ( 1.65<M<1.75)π πM ( 1.65<M<1.75
-1 -0.5 0 0.5 1400
600
800
1000
1200
1400
1600
1800
2000
Z1M(123)-1.70 1.65<M<1.75)π(Θcos 1.65<M<1.75)π(Θcos 1.65<M<1.75)π(Θcos 1.65<M<1.75)π(Θcos 1.65<M<1.75)π(Θcos 1.65<M<1.75)π(Θcos 1.65<M<1.75
-1 -0.5 0 0.5 10
200
400
600
800
1000
1200
1400
1600
1800
2000
2200
2400Z3M(123)-1.70 1.65<M<1.75(p)Θcos 1.65<M<1.75(p)Θcos 1.65<M<1.75(p)Θcos 1.65<M<1.75(p)Θcos 1.65<M<1.75(p)Θcos 1.65<M<1.75(p)Θcos 1.65<M<1.75
-1 -0.5 0 0.5 1
400
600
800
1000
1200
1400
1600
1800
Z23M(123)-1.70 1.65<M<1.75 p)π(Θcos 1.65<M<1.75 p)π(Θcos 1.65<M<1.75 p)π(Θcos 1.65<M<1.75 p)π(Θcos 1.65<M<1.75 p)π(Θcos 1.65<M<1.75 p)π(Θcos 1.65<M<1.75
-1 -0.5 0 0.5 1
600
800
1000
1200
1400
1600
1800
2000
Z12M(123)-1.70 1.65<M<1.75)ππ(Θcos 1.65<M<1.75)ππ(Θcos 1.65<M<1.75)ππ(Θcos 1.65<M<1.75)ππ(Θcos 1.65<M<1.75)ππ(Θcos 1.65<M<1.75)ππ(Θcos 1.65<M<1.75
1.1 1.2 1.3 1.4 1.5 1.6 1.70
100
200
300
400
500
600
700
800
M23M(123)-1.80 1.75<M<1.85 p)πM ( 1.75<M<1.85 p)πM ( 1.75<M<1.85 p)πM ( 1.75<M<1.85 p)πM ( 1.75<M<1.85 p)πM ( 1.75<M<1.85 p)πM ( 1.75<M<1.85
0.3 0.4 0.5 0.6 0.7 0.8 0.90
100
200
300
400
500
600
700
M12M(123)-1.80 1.75<M<1.85)π πM ( 1.75<M<1.85)π πM ( 1.75<M<1.85)π πM ( 1.75<M<1.85)π πM ( 1.75<M<1.85)π πM ( 1.75<M<1.85)π πM ( 1.75<M<1.85
-1 -0.5 0 0.5 1
200
300
400
500
600
700
800
900
Z1M(123)-1.80 1.75<M<1.85)π(Θcos 1.75<M<1.85)π(Θcos 1.75<M<1.85)π(Θcos 1.75<M<1.85)π(Θcos 1.75<M<1.85)π(Θcos 1.75<M<1.85)π(Θcos 1.75<M<1.85
-1 -0.5 0 0.5 10
200
400
600
800
1000Z3M(123)-1.80 1.75<M<1.85(p)Θcos 1.75<M<1.85(p)Θcos 1.75<M<1.85(p)Θcos 1.75<M<1.85(p)Θcos 1.75<M<1.85(p)Θcos 1.75<M<1.85(p)Θcos 1.75<M<1.85
-1 -0.5 0 0.5 1
300
400
500
600
700
800
Z23M(123)-1.80 1.75<M<1.85 p)π(Θcos 1.75<M<1.85 p)π(Θcos 1.75<M<1.85 p)π(Θcos 1.75<M<1.85 p)π(Θcos 1.75<M<1.85 p)π(Θcos 1.75<M<1.85 p)π(Θcos 1.75<M<1.85
-1 -0.5 0 0.5 1
300
400
500
600
700
800
900
Z12M(123)-1.80 1.75<M<1.85)ππ(Θcos 1.75<M<1.85)ππ(Θcos 1.75<M<1.85)ππ(Θcos 1.75<M<1.85)ππ(Θcos 1.75<M<1.85)ππ(Θcos 1.75<M<1.85)ππ(Θcos 1.75<M<1.85
1.1 1.2 1.3 1.4 1.5 1.6 1.70
200
400
600
800
1000
1200
1400
1600
1800
2000M23M(123)-1.75 1.825<M<1.975 p)πM ( 1.825<M<1.975 p)πM ( 1.825<M<1.975 p)πM ( 1.825<M<1.975 p)πM ( 1.825<M<1.975 p)πM ( 1.825<M<1.975 p)πM ( 1.825<M<1.975
0.3 0.4 0.5 0.6 0.7 0.8 0.90
200
400
600
800
1000
1200
1400
1600
M12M(123)-1.75 1.825<M<1.975)π πM ( 1.825<M<1.975)π πM ( 1.825<M<1.975)π πM ( 1.825<M<1.975)π πM ( 1.825<M<1.975)π πM ( 1.825<M<1.975)π πM ( 1.825<M<1.975
-1 -0.5 0 0.5 1
600
800
1000
1200
1400
1600
1800
Z1M(123)-1.75 1.825<M<1.975)π(Θcos 1.825<M<1.975)π(Θcos 1.825<M<1.975)π(Θcos 1.825<M<1.975)π(Θcos 1.825<M<1.975)π(Θcos 1.825<M<1.975)π(Θcos 1.825<M<1.975
-1 -0.5 0 0.5 10
200
400
600
800
1000
1200
1400
1600
1800
2000
2200
2400Z3M(123)-1.75 1.825<M<1.975(p)Θcos 1.825<M<1.975(p)Θcos 1.825<M<1.975(p)Θcos 1.825<M<1.975(p)Θcos 1.825<M<1.975(p)Θcos 1.825<M<1.975(p)Θcos 1.825<M<1.975
-1 -0.5 0 0.5 1
400
600
800
1000
1200
1400
1600
1800
Z23M(123)-1.75 1.825<M<1.975 p)π(Θcos 1.825<M<1.975 p)π(Θcos 1.825<M<1.975 p)π(Θcos 1.825<M<1.975 p)π(Θcos 1.825<M<1.975 p)π(Θcos 1.825<M<1.975 p)π(Θcos 1.825<M<1.975
-1 -0.5 0 0.5 1
600
800
1000
1200
1400
1600
1800
2000
Z12M(123)-1.75 1.825<M<1.975)ππ(Θcos 1.825<M<1.975)ππ(Θcos 1.825<M<1.975)ππ(Θcos 1.825<M<1.975)ππ(Θcos 1.825<M<1.975)ππ(Θcos 1.825<M<1.975)ππ(Θcos 1.825<M<1.975
Nucleon resonances extracted from Bonn-Gatchina coupled channel analysis NSTAR 2011 84
γp → pπ0π0 (MAMI)Differential cross sections S = 3/2 and S = 1/2.
1.35 1.4 1.45 1.50
2
4
6
8
10
12
14
16
18
20
(3/2)totσ
(1/2)totσ
b]µ [σ
) [GeV]γπM(
Nucleon resonances extracted from Bonn-Gatchina coupled channel analysis NSTAR 2011 85
γp → pηπ0 (CB-ELSA)Differential cross sections for W=1700 and 1800 MeV data.
1.45 1.5 1.55 1.6 1.65 1.7 1.75 1.80
200
400
600
800
1000
1200
1400
M23 M(123)-1.8 1.70<M<1.90)ηM (p 1.70<M<1.90)ηM (p 1.70<M<1.90)ηM (p 1.70<M<1.90)ηM (p 1.70<M<1.90)ηM (p 1.70<M<1.90
1.05 1.1 1.15 1.2 1.25 1.3 1.35 1.40
200
400
600
800
1000
1200
1400
M13 M(123)-1.8 1.70<M<1.90)πM (p 1.70<M<1.90)πM (p 1.70<M<1.90)πM (p 1.70<M<1.90)πM (p 1.70<M<1.90)πM (p 1.70<M<1.90
0.65 0.7 0.75 0.8 0.85 0.9 0.95 10
200
400
600
800
1000
M12 M(123)-1.8 1.70<M<1.90)η πM ( 1.70<M<1.90)η πM ( 1.70<M<1.90)η πM ( 1.70<M<1.90)η πM ( 1.70<M<1.90)η πM ( 1.70<M<1.90
-1 -0.5 0 0.5 1
400
500
600
700
800
Z1 M(123)-1.8 1.70<M<1.90)π(Θcos 1.70<M<1.90)π(Θcos 1.70<M<1.90)π(Θcos 1.70<M<1.90)π(Θcos 1.70<M<1.90)π(Θcos 1.70<M<1.90
-1 -0.5 0 0.5 1
500
550
600
650
700
750
800
850
900Z2 M(123)-1.8 1.70<M<1.90)η(Θcos 1.70<M<1.90)η(Θcos 1.70<M<1.90)η(Θcos 1.70<M<1.90)η(Θcos 1.70<M<1.90)η(Θcos 1.70<M<1.90
-1 -0.5 0 0.5 1
200
300
400
500
600
700
800
900
Z3 M(123)-1.8 1.70<M<1.90(p)Θcos 1.70<M<1.90(p)Θcos 1.70<M<1.90(p)Θcos 1.70<M<1.90(p)Θcos 1.70<M<1.90(p)Θcos 1.70<M<1.90
-1 -0.5 0 0.5 1200
300
400
500
600
700
800
900
Z23 M(123)-1.8 1.70<M<1.90 p)η(Θcos 1.70<M<1.90 p)η(Θcos 1.70<M<1.90 p)η(Θcos 1.70<M<1.90 p)η(Θcos 1.70<M<1.90 p)η(Θcos 1.70<M<1.90
-1 -0.5 0 0.5 1
400
500
600
700
800
900
Z13 M(123)-1.8 1.70<M<1.90)π(pΘcos 1.70<M<1.90)π(pΘcos 1.70<M<1.90)π(pΘcos 1.70<M<1.90)π(pΘcos 1.70<M<1.90)π(pΘcos 1.70<M<1.90
-1 -0.5 0 0.5 1
200
400
600
800
1000
1200
Z12 M(123)-1.8 1.70<M<1.90)ηπ(Θcos 1.70<M<1.90)ηπ(Θcos 1.70<M<1.90)ηπ(Θcos 1.70<M<1.90)ηπ(Θcos 1.70<M<1.90)ηπ(Θcos 1.70<M<1.90
1.5 1.6 1.7 1.8 1.9 20
200
400
600
800
1000
1200
M23 M(123)-2.0 1.90<M<2.10)ηM (p 1.90<M<2.10)ηM (p 1.90<M<2.10)ηM (p 1.90<M<2.10)ηM (p 1.90<M<2.10)ηM (p 1.90<M<2.10
1.1 1.2 1.3 1.4 1.5 1.60
200
400
600
800
1000
1200
1400
1600
M13 M(123)-2.0 1.90<M<2.10)πM (p 1.90<M<2.10)πM (p 1.90<M<2.10)πM (p 1.90<M<2.10)πM (p 1.90<M<2.10)πM (p 1.90<M<2.10
0.7 0.8 0.9 1 1.1 1.20
200
400
600
800
1000
1200
M12 M(123)-2.0 1.90<M<2.10)η πM ( 1.90<M<2.10)η πM ( 1.90<M<2.10)η πM ( 1.90<M<2.10)η πM ( 1.90<M<2.10)η πM ( 1.90<M<2.10
-1 -0.5 0 0.5 1400
600
800
1000
1200
1400
Z1 M(123)-2.0 1.90<M<2.10)π(Θcos 1.90<M<2.10)π(Θcos 1.90<M<2.10)π(Θcos 1.90<M<2.10)π(Θcos 1.90<M<2.10)π(Θcos 1.90<M<2.10
-1 -0.5 0 0.5 1400
600
800
1000
1200
1400
1600
1800
2000
Z2 M(123)-2.0 1.90<M<2.10)η(Θcos 1.90<M<2.10)η(Θcos 1.90<M<2.10)η(Θcos 1.90<M<2.10)η(Θcos 1.90<M<2.10)η(Θcos 1.90<M<2.10
-1 -0.5 0 0.5 1
200
400
600
800
1000
1200
1400
1600
Z3 M(123)-2.0 1.90<M<2.10(p)Θcos 1.90<M<2.10(p)Θcos 1.90<M<2.10(p)Θcos 1.90<M<2.10(p)Θcos 1.90<M<2.10(p)Θcos 1.90<M<2.10
-1 -0.5 0 0.5 1400
600
800
1000
1200
Z23 M(123)-2.0 1.90<M<2.10 p)η(Θcos 1.90<M<2.10 p)η(Θcos 1.90<M<2.10 p)η(Θcos 1.90<M<2.10 p)η(Θcos 1.90<M<2.10 p)η(Θcos 1.90<M<2.10
-1 -0.5 0 0.5 1
400
500
600
700
800
900
1000
1100
1200
1300
Z13 M(123)-2.0 1.90<M<2.10)π(pΘcos 1.90<M<2.10)π(pΘcos 1.90<M<2.10)π(pΘcos 1.90<M<2.10)π(pΘcos 1.90<M<2.10)π(pΘcos 1.90<M<2.10
-1 -0.5 0 0.5 1
400
600
800
1000
1200
1400
Z12 M(123)-2.0 1.90<M<2.10)ηπ(Θcos 1.90<M<2.10)ηπ(Θcos 1.90<M<2.10)ηπ(Θcos 1.90<M<2.10)ηπ(Θcos 1.90<M<2.10)ηπ(Θcos 1.90<M<2.10
Nucleon resonances extracted from Bonn-Gatchina coupled channel analysis NSTAR 2011 86
γp → pηπ0 (CB-ELSA)Differential cross sections for W=1900 and 2000 MeV data.
1.5 1.6 1.7 1.8 1.9 2 2.1 2.20
100
200
300
400
500
600
700
M23 M(123)-2.2 2.10<M<2.30)ηM (p 2.10<M<2.30)ηM (p 2.10<M<2.30)ηM (p 2.10<M<2.30)ηM (p 2.10<M<2.30)ηM (p 2.10<M<2.30
1.1 1.2 1.3 1.4 1.5 1.6 1.7 1.80
200
400
600
800
1000
M13 M(123)-2.2 2.10<M<2.30)πM (p 2.10<M<2.30)πM (p 2.10<M<2.30)πM (p 2.10<M<2.30)πM (p 2.10<M<2.30)πM (p 2.10<M<2.30
0.7 0.8 0.9 1 1.1 1.2 1.3 1.40
200
400
600
800
1000
M12 M(123)-2.2 2.10<M<2.30)η πM ( 2.10<M<2.30)η πM ( 2.10<M<2.30)η πM ( 2.10<M<2.30)η πM ( 2.10<M<2.30)η πM ( 2.10<M<2.30
-1 -0.5 0 0.5 1
400
500
600
700
800
900
1000
Z1 M(123)-2.2 2.10<M<2.30)π(Θcos 2.10<M<2.30)π(Θcos 2.10<M<2.30)π(Θcos 2.10<M<2.30)π(Θcos 2.10<M<2.30)π(Θcos 2.10<M<2.30
-1 -0.5 0 0.5 1200
400
600
800
1000
1200
1400
Z2 M(123)-2.2 2.10<M<2.30)η(Θcos 2.10<M<2.30)η(Θcos 2.10<M<2.30)η(Θcos 2.10<M<2.30)η(Θcos 2.10<M<2.30)η(Θcos 2.10<M<2.30
-1 -0.5 0 0.5 1
200
400
600
800
1000
1200
1400
Z3 M(123)-2.2 2.10<M<2.30(p)Θcos 2.10<M<2.30(p)Θcos 2.10<M<2.30(p)Θcos 2.10<M<2.30(p)Θcos 2.10<M<2.30(p)Θcos 2.10<M<2.30
-1 -0.5 0 0.5 1300
400
500
600
700
800
900
1000Z23 M(123)-2.2 2.10<M<2.30 p)η(Θcos 2.10<M<2.30 p)η(Θcos 2.10<M<2.30 p)η(Θcos 2.10<M<2.30 p)η(Θcos 2.10<M<2.30 p)η(Θcos 2.10<M<2.30
-1 -0.5 0 0.5 1
300
400
500
600
700
800
900
1000
Z13 M(123)-2.2 2.10<M<2.30)π(pΘcos 2.10<M<2.30)π(pΘcos 2.10<M<2.30)π(pΘcos 2.10<M<2.30)π(pΘcos 2.10<M<2.30)π(pΘcos 2.10<M<2.30
-1 -0.5 0 0.5 1400
500
600
700
800
900
1000
1100
1200
1300
Z12 M(123)-2.2 2.10<M<2.30)ηπ(Θcos 2.10<M<2.30)ηπ(Θcos 2.10<M<2.30)ηπ(Θcos 2.10<M<2.30)ηπ(Θcos 2.10<M<2.30)ηπ(Θcos 2.10<M<2.30
1.5 1.6 1.7 1.8 1.9 2 2.1 2.2 2.3 2.40
20
40
60
80
100
120
140
160
180
200
220
M23 M(123)-2.4 2.30<M<2.50)ηM (p 2.30<M<2.50)ηM (p 2.30<M<2.50)ηM (p 2.30<M<2.50)ηM (p 2.30<M<2.50)ηM (p 2.30<M<2.50
1.2 1.4 1.6 1.8 20
50
100
150
200
250
300M13 M(123)-2.4 2.30<M<2.50)πM (p 2.30<M<2.50)πM (p 2.30<M<2.50)πM (p 2.30<M<2.50)πM (p 2.30<M<2.50)πM (p 2.30<M<2.50
0.8 1 1.2 1.4 1.60
50
100
150
200
250
300
350M12 M(123)-2.4 2.30<M<2.50)η πM ( 2.30<M<2.50)η πM ( 2.30<M<2.50)η πM ( 2.30<M<2.50)η πM ( 2.30<M<2.50)η πM ( 2.30<M<2.50
-1 -0.5 0 0.5 1
120
140
160
180
200
220
240
260
280
Z1 M(123)-2.4 2.30<M<2.50)π(Θcos 2.30<M<2.50)π(Θcos 2.30<M<2.50)π(Θcos 2.30<M<2.50)π(Θcos 2.30<M<2.50)π(Θcos 2.30<M<2.50
-1 -0.5 0 0.5 1
100
150
200
250
300
350
400
450
Z2 M(123)-2.4 2.30<M<2.50)η(Θcos 2.30<M<2.50)η(Θcos 2.30<M<2.50)η(Θcos 2.30<M<2.50)η(Θcos 2.30<M<2.50)η(Θcos 2.30<M<2.50
-1 -0.5 0 0.5 1
50
100
150
200
250
300
350
400
450
Z3 M(123)-2.4 2.30<M<2.50(p)Θcos 2.30<M<2.50(p)Θcos 2.30<M<2.50(p)Θcos 2.30<M<2.50(p)Θcos 2.30<M<2.50(p)Θcos 2.30<M<2.50
-1 -0.5 0 0.5 1
100
120
140
160
180
200
220
240
260
280
Z23 M(123)-2.4 2.30<M<2.50 p)η(Θcos 2.30<M<2.50 p)η(Θcos 2.30<M<2.50 p)η(Θcos 2.30<M<2.50 p)η(Θcos 2.30<M<2.50 p)η(Θcos 2.30<M<2.50
-1 -0.5 0 0.5 150
100
150
200
250
300
350
Z13 M(123)-2.4 2.30<M<2.50)π(pΘcos 2.30<M<2.50)π(pΘcos 2.30<M<2.50)π(pΘcos 2.30<M<2.50)π(pΘcos 2.30<M<2.50)π(pΘcos 2.30<M<2.50
-1 -0.5 0 0.5 1
150
200
250
300
350
Z12 M(123)-2.4 2.30<M<2.50)ηπ(Θcos 2.30<M<2.50)ηπ(Θcos 2.30<M<2.50)ηπ(Θcos 2.30<M<2.50)ηπ(Θcos 2.30<M<2.50)ηπ(Θcos 2.30<M<2.50
Nucleon resonances extracted from Bonn-Gatchina coupled channel analysis NSTAR 2011 87
γp → pηπ0 (CB-ELSA)Beam asymmetry data.
![Untitled-1 [fafnir.phyast.pitt.edu]fafnir.phyast.pitt.edu/nstar/plenaryA/pedroni.pdf · resonances (A, PH, 1.)13, Sll) —Collaboration INFN Motivations Gerasimov-Drell-Hearn sum](https://static.fdocuments.net/doc/165x107/60341e09a74596274549b225/untitled-1-resonances-a-ph-113-sll-acollaboration-infn-motivations.jpg)
