AA versus pp (& dA): A puzzling scaling in HBT@RHIC
description
Transcript of AA versus pp (& dA): A puzzling scaling in HBT@RHIC
![Page 1: AA versus pp (& dA): A puzzling scaling in HBT@RHIC](https://reader036.fdocuments.net/reader036/viewer/2022062809/56815854550346895dc5ae7e/html5/thumbnails/1.jpg)
February 2005 lisa - XXI Winter Workshop - Breckenridge CO 1
AA versus pp (& dA):A puzzling scaling in HBT@RHIC
Zbigniew Chajęcki1, Tom Gutierrez2,
Mike Lisa1, Mercedes López-Noriega1
1 Ohio State University2 U.C. Davis, LBL
![Page 2: AA versus pp (& dA): A puzzling scaling in HBT@RHIC](https://reader036.fdocuments.net/reader036/viewer/2022062809/56815854550346895dc5ae7e/html5/thumbnails/2.jpg)
February 2005 lisa - XXI Winter Workshop - Breckenridge CO 2
Outline
• Indispensability of spacetime in RHI studies
• Femtoscopy in RHI collisions (rhic)– Rationality of systematics [important reminder]
– The “puzzle” [refresher of one aspect]
• Focus on mT (T) systematic
– Underlying physics in AA: dynamically-driven geometric substructure
– Do we understand AA relative to pp (and dA)?
– If not, what is the matter?!
• Not-really-a-conclusion
![Page 3: AA versus pp (& dA): A puzzling scaling in HBT@RHIC](https://reader036.fdocuments.net/reader036/viewer/2022062809/56815854550346895dc5ae7e/html5/thumbnails/3.jpg)
February 2005 lisa - XXI Winter Workshop - Breckenridge CO 3
Spacetime - an annoying bump on the road to Stockholm?
• Non-trivial space-time - the hallmark of rhic– Initial state: dominates further dynamics
– Intermediate state: impt element in exciting signals
– Final state:
• Geometric structural scale is THE defining feature of QGP
STAR, PRC66 (2002) 034904 STAR, PRL93 (2004) 252301
![Page 4: AA versus pp (& dA): A puzzling scaling in HBT@RHIC](https://reader036.fdocuments.net/reader036/viewer/2022062809/56815854550346895dc5ae7e/html5/thumbnails/4.jpg)
February 2005 lisa - XXI Winter Workshop - Breckenridge CO 4
qout
qside
qlong
Hanbury Brown-Twiss interferometry
Rsi
de
R long
Rout
x1
x2
12 ppqrrr −=
p1
p2
qr
( )12 pp2
1k
rrr+=
• Two-particle interferometry: p-space separation space-time separation
• HBT: Quantum interference between identical particles
pairsevent mixed
pairsevent real
)(P)(P
),(P),(
21
2121 ==
pppp
ppC
2long
2long
2side
2side
2out
2out)(1),(
RqRqRqekkqC
−−−λ+=vrr
q (GeV/c)q (GeV/c)
C (
q)C
(q)
11
22R
1~
– Final-state effects (Coulomb, strong) also can cause correlations, need to be accounted for
Gaussian model (3-d):
![Page 5: AA versus pp (& dA): A puzzling scaling in HBT@RHIC](https://reader036.fdocuments.net/reader036/viewer/2022062809/56815854550346895dc5ae7e/html5/thumbnails/5.jpg)
February 2005 lisa - XXI Winter Workshop - Breckenridge CO 5
qout
qside
qlong
Hanbury Brown-Twiss interferometry
Rsi
de
R long
Rout
x1
x2
12 ppqrrr −=
p1
p2
qr
( )12 pp2
1k
rrr+=
• Two-particle interferometry: p-space separation space-time separation
RRsideside
RRoutout
![Page 6: AA versus pp (& dA): A puzzling scaling in HBT@RHIC](https://reader036.fdocuments.net/reader036/viewer/2022062809/56815854550346895dc5ae7e/html5/thumbnails/6.jpg)
February 2005 lisa - XXI Winter Workshop - Breckenridge CO 6
Spacetime - an annoying bump on the road to Stockholm?
• Non-trivial space-time - the hallmark of rhic– Initial state: dominates further dynamics
– Intermediate state: impt (neglected?) element in exciting signals
– Final state:
• Geometric structural scale is THE defining feature of QGP
• Temporal scale sensitive to deconfinement transition (?)
QuickTime™ and aTIFF (LZW) decompressor
are needed to see this picture.
Ann.Rev.Nucl.Part.Sci. 46 (1996) 71
![Page 7: AA versus pp (& dA): A puzzling scaling in HBT@RHIC](https://reader036.fdocuments.net/reader036/viewer/2022062809/56815854550346895dc5ae7e/html5/thumbnails/7.jpg)
February 2005 lisa - XXI Winter Workshop - Breckenridge CO 7
A.D. Chacon et al, Phys. Rev. C43 2670 (1991)G. Alexander, Rep. Prog. Phys. 66 481 (2003)
R = 1.2 (fm)•A1/3
Systematic decadence
• Pion HBT @ Bevalac: “largely confirming nuclear dimensions”• Since 90’s: increasingly detailed understanding and study w/ high stats
)s(HBT
‘85 ‘90 ‘95 ‘00 ‘05
5
10
15
20AGS/SPS/RHIC HBT papers (expt)
Bo
al/
Je
nn
ing
s/G
elb
ke
Heinz/JacakWiedemann/Heinz
Csorgo
To
ma
sik
/Wie
de
ma
nn
“R = 5 fm”
![Page 8: AA versus pp (& dA): A puzzling scaling in HBT@RHIC](https://reader036.fdocuments.net/reader036/viewer/2022062809/56815854550346895dc5ae7e/html5/thumbnails/8.jpg)
February 2005 lisa - XXI Winter Workshop - Breckenridge CO 8
Systematic decadence
• Pion HBT @ Bevalac: “largely confirming nuclear dimensions”• Since 90’s: increasingly detailed understanding and study w/ high stats
‘85 ‘90 ‘95 ‘00 ‘05
5
10
15
20AGS/SPS/RHIC HBT papers (expt)
Bo
al/
Je
nn
ing
s/G
elb
ke
Heinz/JacakWiedemann/Heinz
Csorgo
To
ma
sik
/Wie
de
ma
nn
T 1 2 sysˆHBT( ;p , y, b ,b,ms ,m ,A )
r
y
|b|
pT
![Page 9: AA versus pp (& dA): A puzzling scaling in HBT@RHIC](https://reader036.fdocuments.net/reader036/viewer/2022062809/56815854550346895dc5ae7e/html5/thumbnails/9.jpg)
February 2005 lisa - XXI Winter Workshop - Breckenridge CO 9
Does HBT in rhic make sense?
YES…
Size [R(Npart1/3)]
Shape [R( )]
mor
e ce
ntra
l
STAR, PRL93 012301 (2004)
![Page 10: AA versus pp (& dA): A puzzling scaling in HBT@RHIC](https://reader036.fdocuments.net/reader036/viewer/2022062809/56815854550346895dc5ae7e/html5/thumbnails/10.jpg)
February 2005 lisa - XXI Winter Workshop - Breckenridge CO 10
Does HBT in rhic make sense?
YES…
Size [R(Npart1/3)]
Shape [R( )]
? Dynamic substructure [R(mT)]
![Page 11: AA versus pp (& dA): A puzzling scaling in HBT@RHIC](https://reader036.fdocuments.net/reader036/viewer/2022062809/56815854550346895dc5ae7e/html5/thumbnails/11.jpg)
February 2005 lisa - XXI Winter Workshop - Breckenridge CO 11
Why do the radii fallwith increasing momentum ??
![Page 12: AA versus pp (& dA): A puzzling scaling in HBT@RHIC](https://reader036.fdocuments.net/reader036/viewer/2022062809/56815854550346895dc5ae7e/html5/thumbnails/12.jpg)
February 2005 lisa - XXI Winter Workshop - Breckenridge CO 12
ˆ 1 2 sysbTHBT( ; , y, b , ,m ,m ,A )ps φr
Kolb & Heinz, QGP3 nucl-th/0305084
Decreasing R(pT)
• usually attributed to collective flow
• flow integral to our understanding of R.H.I.C.; taken for granted
• femtoscopy the only way to confirm x-p correlations – impt check
![Page 13: AA versus pp (& dA): A puzzling scaling in HBT@RHIC](https://reader036.fdocuments.net/reader036/viewer/2022062809/56815854550346895dc5ae7e/html5/thumbnails/13.jpg)
February 2005 lisa - XXI Winter Workshop - Breckenridge CO 13
ˆ 1 2 sysbTHBT( ; , y, b , ,m ,m ,A )ps φr
Decreasing R(pT)
• usually attributed to collective flow
• flow integral to our understanding of R.H.I.C.; taken for granted
• femtoscopy the only way to confirm x-p correlations – impt check
Non-flow possibilities• cooling, thermally (not collectively)
expanding source
• combo of x-t and t-p correlationsearly times: small, hot source
late times: large, cool source
![Page 14: AA versus pp (& dA): A puzzling scaling in HBT@RHIC](https://reader036.fdocuments.net/reader036/viewer/2022062809/56815854550346895dc5ae7e/html5/thumbnails/14.jpg)
February 2005 lisa - XXI Winter Workshop - Breckenridge CO 14
ˆ 1 2 sysbTHBT( ; , y, b , ,m ,m ,A )ps φr
Decreasing R(pT)
• usually attributed to collective flow
• flow integral to our understanding of R.H.I.C.; taken for granted
• femtoscopy the only way to confirm x-p correlations – impt check
Non-flow possibilities• cooling, thermally (not collectively)
expanding source
• combo of x-t and t-p correlations
MAL et al, PRC49 2788 (1994)
1500 fm/c (!)
![Page 15: AA versus pp (& dA): A puzzling scaling in HBT@RHIC](https://reader036.fdocuments.net/reader036/viewer/2022062809/56815854550346895dc5ae7e/html5/thumbnails/15.jpg)
February 2005 lisa - XXI Winter Workshop - Breckenridge CO 15
ˆ 1 2 sysbTHBT( ; , y, b , ,m ,m ,A )ps φr
Decreasing R(pT)
• usually attributed to collective flow
• flow integral to our understanding of R.H.I.C.; taken for granted
• femtoscopy the only way to confirm x-p correlations – impt check
Non-flow possibilities• cooling, thermally (not collectively)
expanding source
• combo of x-t and t-p correlations
• hot core surrounded by cool shell
• important ingredient of Buda-Lund hydro picturee.g. Csörgő & LörstadPRC54 1390 (1996)
![Page 16: AA versus pp (& dA): A puzzling scaling in HBT@RHIC](https://reader036.fdocuments.net/reader036/viewer/2022062809/56815854550346895dc5ae7e/html5/thumbnails/16.jpg)
February 2005 lisa - XXI Winter Workshop - Breckenridge CO 16
ˆ 1 2 sysbTHBT( ; , y, b , ,m ,m ,A )ps φr
Decreasing R(pT)
• usually attributed to collective flow
• flow integral to our understanding of R.H.I.C.; taken for granted
• femtoscopy the only way to confirm x-p correlations – impt check
Non-flow possibilities• cooling, thermally (not collectively)
expanding source
• combo of x-t and t-p correlations
• hot core surrounded by cool shell
• important ingredient of Buda-Lund hydro picturee.g. Csörgő & LörstadPRC54 1390 (1996)
t
Each scenario generatesx-p correlations but…
x2-p correlation: yesx-p correlation: yes
x2-p correlation: yesx-p correlation: no
x2-p correlation: yesx-p correlation: no
![Page 17: AA versus pp (& dA): A puzzling scaling in HBT@RHIC](https://reader036.fdocuments.net/reader036/viewer/2022062809/56815854550346895dc5ae7e/html5/thumbnails/17.jpg)
February 2005 lisa - XXI Winter Workshop - Breckenridge CO 17
ˆ 1 2 sysbTHBT( ; , y, b , ,m ,m ,A )ps φr
• flow-dominated “models” can reproduce soft-sector x-space observables
• imply short timescales
• however, are we on the right track? [flow]• puzzles? check your assumptions!• look for flow’s “special signature”
x-p correlation
• In flow pictures, low-pT particles emitted closer to source’s center (along “out”)
• non-identical particle correlations(FSI at low v) probe:
(x1-x2)2 (as does HBT)
x1-x2
Csanád, Csörgő, Lörstad nucl-th/0311102 and nucl-th/0310040
[click for more details on non-id correlations]
F. Retiere & MAL, Phys. Rev. C70 044907 (2004)
pT
T
K
p
![Page 18: AA versus pp (& dA): A puzzling scaling in HBT@RHIC](https://reader036.fdocuments.net/reader036/viewer/2022062809/56815854550346895dc5ae7e/html5/thumbnails/18.jpg)
February 2005 lisa - XXI Winter Workshop - Breckenridge CO 18
ˆT 2 sysb 1HBT( ;p , y, b , m ,m, ,A )s φr
• In flow pictures, low-pT particles emitted closer to source’s center (along “out”)
• non-identical particle correlations(FSI at low v) probe:
(x1-x2)2 (as does HBT)
x1-x2
• extracted shift in emission point x1-x2 consistent w/ flow-dominated blastwave
A. Kisiel (STAR) QM04
x
(fm
)
x (
fm)
T T
![Page 19: AA versus pp (& dA): A puzzling scaling in HBT@RHIC](https://reader036.fdocuments.net/reader036/viewer/2022062809/56815854550346895dc5ae7e/html5/thumbnails/19.jpg)
February 2005 lisa - XXI Winter Workshop - Breckenridge CO 19
Does HBT in rhic make sense?
YES…
Size [R(Npart1/3)]
Shape [R( )]
Dynamic structure [R(mT)] A. Kisiel (STAR) QM04
x
(fm
)
x (
fm)
![Page 20: AA versus pp (& dA): A puzzling scaling in HBT@RHIC](https://reader036.fdocuments.net/reader036/viewer/2022062809/56815854550346895dc5ae7e/html5/thumbnails/20.jpg)
February 2005 lisa - XXI Winter Workshop - Breckenridge CO 20
Does HBT in rhic make sense?
YES…
Size [R(Npart1/3)]
Shape [R( )]
Dynamic structure [R(mT)]
… and NO
? Model disagreement [transport]
Heinz & Kolb, WW18 hep-ph/0204061
![Page 21: AA versus pp (& dA): A puzzling scaling in HBT@RHIC](https://reader036.fdocuments.net/reader036/viewer/2022062809/56815854550346895dc5ae7e/html5/thumbnails/21.jpg)
February 2005 lisa - XXI Winter Workshop - Breckenridge CO 21
Does HBT in rhic make sense?
YES…
Size [R(Npart1/3)]
Shape [R( )]
Dynamic structure [R(mT)]
… and NO
? Model disagreement [transport]
? Too-short timescales [BW]
F. Retiere & MAL, Phys. Rev. C70 044907 (2004)F. Reiere, QM04 nucl-ex/0405024
T=106 MeV; <> = 0.55; R = 12.5 fm
Lifetime () = 8.4 ± 0.2 fm/c
Emission duration () = 1.9 ± 0.2 fm/c
![Page 22: AA versus pp (& dA): A puzzling scaling in HBT@RHIC](https://reader036.fdocuments.net/reader036/viewer/2022062809/56815854550346895dc5ae7e/html5/thumbnails/22.jpg)
February 2005 lisa - XXI Winter Workshop - Breckenridge CO 22
Does HBT in rhic make sense?
YES…
Size [R(Npart1/3)]
Shape [R( )]
Dynamic structure [R(mT)]
… and NO
? Model disagreement [transport]
? Too-short timescales [BW]
T=106 MeV; <> = 0.55; R = 12.5 fm
Lifetime () = 8.4 ± 0.2 fm/c
Emission duration () = 1.9 ± 0.2 fm/c
RY
RX
t = 0“initial”
t = “final”
BW fits: flow velocity max()• at edge• at freezeout
Surely… R(,t=) < R(,t=0) + max()*
€
R − Rinitial = βT ,max ⋅τ
STAR nucl-ex/0411036 [subm PRC]
![Page 23: AA versus pp (& dA): A puzzling scaling in HBT@RHIC](https://reader036.fdocuments.net/reader036/viewer/2022062809/56815854550346895dc5ae7e/html5/thumbnails/23.jpg)
February 2005 lisa - XXI Winter Workshop - Breckenridge CO 23
Does HBT in rhic make sense?
YES…
Size [R(Npart1/3)]
Shape [R( )]
Dynamic structure [R(mT)]
… and NO
? Model disagreement [transport]
? Too-short timescales [BW]? Inconsistent dynamical picture
€
R − Rinitial = βT ,max ⋅τ
STAR nucl-ex/0411036 [subm PRC]
RY
RX
t = 0“initial”
t = “final”
![Page 24: AA versus pp (& dA): A puzzling scaling in HBT@RHIC](https://reader036.fdocuments.net/reader036/viewer/2022062809/56815854550346895dc5ae7e/html5/thumbnails/24.jpg)
February 2005 lisa - XXI Winter Workshop - Breckenridge CO 24
Does HBT in rhic make sense?
YES…
Size [R(Npart1/3)]
Shape [R( )]
Dynamic structure [R(mT)]
… and NO
? Model disagreement [transport]
? Too-short timescales [BW]? Inconsistent dynamical picture
? No large rise in RO, RL [general]
![Page 25: AA versus pp (& dA): A puzzling scaling in HBT@RHIC](https://reader036.fdocuments.net/reader036/viewer/2022062809/56815854550346895dc5ae7e/html5/thumbnails/25.jpg)
February 2005 lisa - XXI Winter Workshop - Breckenridge CO 25
Does HBT in rhic make sense?
YES…?
Size [R(Npart1/3)]
Shape [R( )]
Dynamic structure [R(mT)]
… and NO
? Model disagreement [transport]
? Too-short timescales [BW]? Inconsistent dynamical picture
? No large rise in RO, RL [general]
Simultaneously reasonable?
€
HBT( s;pT ,y,r b , ˆ b ,m1,m2,Asys)
![Page 26: AA versus pp (& dA): A puzzling scaling in HBT@RHIC](https://reader036.fdocuments.net/reader036/viewer/2022062809/56815854550346895dc5ae7e/html5/thumbnails/26.jpg)
February 2005 lisa - XXI Winter Workshop - Breckenridge CO 26
T s1b y2 sˆHBT( ; , y, b , ,m ,m , )p As φr
• latest “puzzle” in HBT?
• HBT radii from pp fall with pT
(as observed previously, usually attributed to string kT kick)…
• …but as much (proportionally) as dAu and AuAu ??• coincidence…?• something deeper…?
Rout
Rside
Rlong
p+p+X
pT
0.25 0.5
2
1
STAR, QM04
Rout / Rout(pp) Rside / Rside(pp)
Rlong / Rlong(pp)
Au+AuCollective expansion
p+pstring fragmentation
transverse plane
![Page 27: AA versus pp (& dA): A puzzling scaling in HBT@RHIC](https://reader036.fdocuments.net/reader036/viewer/2022062809/56815854550346895dc5ae7e/html5/thumbnails/27.jpg)
February 2005 lisa - XXI Winter Workshop - Breckenridge CO 27
T s1b y2 sˆHBT( ; , y, b , ,m ,m , )p As φr
• latest “puzzle” in HBT?
• HBT radii from pp fall with pT
(as observed previously, usually attributed to string kT kick)…
• …but as much (proportionally) as dAu and AuAu ??• coincidence…?• something deeper…?
• What it does NOT mean:• AA=N*(strings)• AA=N*(“little blastwaves”)
• AA: global x-p correlations
localx-p corr.
NB: p-space observables identical in the two cases
![Page 28: AA versus pp (& dA): A puzzling scaling in HBT@RHIC](https://reader036.fdocuments.net/reader036/viewer/2022062809/56815854550346895dc5ae7e/html5/thumbnails/28.jpg)
February 2005 lisa - XXI Winter Workshop - Breckenridge CO 28
T s1b y2 sˆHBT( ; , y, b , ,m ,m , )p As φr
• latest “puzzle” in HBT?
• HBT radii from pp fall with pT
(as observed previously, usually attributed to string kT kick)…
• …but as much (proportionally) as dAu and AuAu ??• coincidence…?• something deeper…?
• What it does NOT mean:• AA=N*(strings)• AA=N*(“little blastwaves”)
• AA: global x-p correlations
localx-p corr.
NB: p-space observables identical in the two cases
![Page 29: AA versus pp (& dA): A puzzling scaling in HBT@RHIC](https://reader036.fdocuments.net/reader036/viewer/2022062809/56815854550346895dc5ae7e/html5/thumbnails/29.jpg)
February 2005 lisa - XXI Winter Workshop - Breckenridge CO 29
Focus on RLONG
• Sinyukov: Boost-invariant:
(+ flow effects) qout
qside
qlong
Rsi
de
R long
Rout
x1
x2
p1
p2
qr
( )12 pp2
1k
rrr+=
€
RL(mT ) = τ 0 ⋅T
mT
€
×K2 mT /T( )K1 mT /T( )
![Page 30: AA versus pp (& dA): A puzzling scaling in HBT@RHIC](https://reader036.fdocuments.net/reader036/viewer/2022062809/56815854550346895dc5ae7e/html5/thumbnails/30.jpg)
February 2005 lisa - XXI Winter Workshop - Breckenridge CO 30
Focus on RLONG
• Sinyukov: Boost-invariant:
(+ flow effects)
• Au+Au - reasonable
– But* hydro alone : 0~15 fm/c€
RL(mT ) = τ 0 ⋅T
mT
€
×K2 mT /T( )K1 mT /T( )
* Heinz & Kolb, hep-ph/0204061 NparticipantsSTAR nucl-ex/0411036 [subm PRC]
![Page 31: AA versus pp (& dA): A puzzling scaling in HBT@RHIC](https://reader036.fdocuments.net/reader036/viewer/2022062809/56815854550346895dc5ae7e/html5/thumbnails/31.jpg)
February 2005 lisa - XXI Winter Workshop - Breckenridge CO 31* Heinz & Kolb, hep-ph/0204061
Focus on RLONG
• Sinyukov: Boost-invariant:
(+ flow effects)
• Au+Au - reasonable
– But* hydro alone : 0~15 fm/c
• In p+p (e+e): often understood
via Heisenberg
• Identical experimental behavior
• VERY different physics ! (right?)
€
RL(mT ) = τ 0 ⋅T
mT
€
×K2 mT /T( )K1 mT /T( )
€
RL(mT ) = c ⋅h ⋅τ 0
mT
K p,
RZ (
fm)
R (
fm)
mT (GeV)
m (GeV)
G. Alexanderhep-ph/0108194Hadronic Z0 decays
~ 1 fm/c
![Page 32: AA versus pp (& dA): A puzzling scaling in HBT@RHIC](https://reader036.fdocuments.net/reader036/viewer/2022062809/56815854550346895dc5ae7e/html5/thumbnails/32.jpg)
February 2005 lisa - XXI Winter Workshop - Breckenridge CO 32
“Geometrical” RS
• AA “understood” (?) in terms of
collective flow
• “Spooky” that pp ~ AA/5
• But…
pp, dAu apparent global x-p
correlations, but no expansion?– p+p fair comparison?
RY
RX
t = 0“initial”
t = “final”
F. Retiere, QM04
![Page 33: AA versus pp (& dA): A puzzling scaling in HBT@RHIC](https://reader036.fdocuments.net/reader036/viewer/2022062809/56815854550346895dc5ae7e/html5/thumbnails/33.jpg)
February 2005 lisa - XXI Winter Workshop - Breckenridge CO 33
Bummer…• pp = “little AA” physics-wise ?
– hey, why not? (Csorgo)
• different driving physics just looks the same ? [coincidence]– resonances (Wiedemann, Schlei,…)– uncertainty principle morphs (weirdly) into thermal/collective scenario?– “kicks” in string-breaking dynamics
• HBT just doesn’t measure geometry/dynamics anyway– because it doesn’t work (Gyulassy, based on convenience)– source<--> HBT not so simple (Kapusta, Wong,Cramer…)– it cannot be that wrong (Lisa, based on systematics)
• It it our oversimplified Gaussian radii?
![Page 34: AA versus pp (& dA): A puzzling scaling in HBT@RHIC](https://reader036.fdocuments.net/reader036/viewer/2022062809/56815854550346895dc5ae7e/html5/thumbnails/34.jpg)
February 2005 lisa - XXI Winter Workshop - Breckenridge CO 34
Worst-case picture of d-Au [prelim]
• Not great fit
• One imagines one could do a better
job, but fit must work in 3D; we
see tiny portion of space
• What is going on in the
normalization region?
(indep of Gaussian ansatz)– ad hoc “fixes” dangerous!
• Problem with projections– cannot see systematics in 3D
– experiments w/same CF will have different projections
QuickTime™ and aTIFF (Uncompressed) decompressor
are needed to see this picture.
STAR Prelim
inary
![Page 35: AA versus pp (& dA): A puzzling scaling in HBT@RHIC](https://reader036.fdocuments.net/reader036/viewer/2022062809/56815854550346895dc5ae7e/html5/thumbnails/35.jpg)
February 2005 lisa - XXI Winter Workshop - Breckenridge CO 35
Whole CF at a glance• Cartesian-space (out-side-long)
naturally encodes physics, but is poor/inefficient representation
• Recognize symmetries of Q-space -- decompose by spherical harmonics!
• Direct connection to source shapes [Danielewicz,Pratt]
• ~immune to acceptance
• full information content at a glance[thanx to symmetries]
QuickTime™ and aTIFF (Uncompressed) decompressor
are needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressor
are needed to see this picture.
![Page 36: AA versus pp (& dA): A puzzling scaling in HBT@RHIC](https://reader036.fdocuments.net/reader036/viewer/2022062809/56815854550346895dc5ae7e/html5/thumbnails/36.jpg)
February 2005 lisa - XXI Winter Workshop - Breckenridge CO 36
L=0 L=2 L=4
M=0
M=2
M=4
Simple, Gaussiansource calculations
RL < RT
RL > RT
RO < RS
RO > RS
“Rinv”But better!!
~acceptance free!
![Page 37: AA versus pp (& dA): A puzzling scaling in HBT@RHIC](https://reader036.fdocuments.net/reader036/viewer/2022062809/56815854550346895dc5ae7e/html5/thumbnails/37.jpg)
February 2005 lisa - XXI Winter Workshop - Breckenridge CO 37
L=0 L=2 L=4
M=0
M=2
M=4
Gaussian source fit(Coulomb in fit)
d+Au kT-integrated
RO = 1.74 fmRS = 1.69 fmRL = 2.14 fmλ= 0.36
data
STAR Prelim
inary
![Page 38: AA versus pp (& dA): A puzzling scaling in HBT@RHIC](https://reader036.fdocuments.net/reader036/viewer/2022062809/56815854550346895dc5ae7e/html5/thumbnails/38.jpg)
February 2005 lisa - XXI Winter Workshop - Breckenridge CO 38
Mike’s shortest summary ever(let’s discuss)
• Along most axes, HBT systematics make sense– it’s the geometry, stupid & geometry defines R.H.I.C.
– so, take “puzzles” seriously
• recent “puzzle”: pp/dA/AA HBT versus mT “too similar”
– timescales from RL? Heisenberg or Boost-invariant thermal bulk?
– dynamically-induced RS(mT)? pp = “little AA”?
• is lack of expansion in pp comforting? Is pp valid reference?
– insensitivity of HBT to different underlying physics?
– fitting artifact? Ylm decomp (+ imaging) promising & underway
• IMHO* : issues with data but they are not the root cause (also Gaussian is not at root)
* IMHO = In Mike’s Humble Opinion
![Page 39: AA versus pp (& dA): A puzzling scaling in HBT@RHIC](https://reader036.fdocuments.net/reader036/viewer/2022062809/56815854550346895dc5ae7e/html5/thumbnails/39.jpg)
February 2005 lisa - XXI Winter Workshop - Breckenridge CO 39
Is this what we’ve come (back) to?
A.D. Chacon et al, Phys. Rev. C43 2670 (1991)G. Alexander, Rep. Prog. Phys. 66 481 (2003)
R = 1.2 (fm)•A1/3
Take the problem seriously,
and nobody gets hurt
![Page 40: AA versus pp (& dA): A puzzling scaling in HBT@RHIC](https://reader036.fdocuments.net/reader036/viewer/2022062809/56815854550346895dc5ae7e/html5/thumbnails/40.jpg)
February 2005 lisa - XXI Winter Workshop - Breckenridge CO 40
The end
![Page 41: AA versus pp (& dA): A puzzling scaling in HBT@RHIC](https://reader036.fdocuments.net/reader036/viewer/2022062809/56815854550346895dc5ae7e/html5/thumbnails/41.jpg)
February 2005 lisa - XXI Winter Workshop - Breckenridge CO 41
T s1b y2 sˆHBT( ; , y, b , ,m ,m , )p As φr
• latest “puzzle” in HBT?
• HBT radii from pp fall with pT
(as observed previously, usually attributed to string kT kick)…
• …but as much (proportionally) as dAu and AuAu ??• coincidence…?• something deeper…?
• What it does NOT mean:• AA=N*(strings)• AA=N*(“little blastwaves”)
• AA: global x-p correlations
localx-p corr.
NB: p-space observables identical in the two cases
![Page 42: AA versus pp (& dA): A puzzling scaling in HBT@RHIC](https://reader036.fdocuments.net/reader036/viewer/2022062809/56815854550346895dc5ae7e/html5/thumbnails/42.jpg)
February 2005 lisa - XXI Winter Workshop - Breckenridge CO 42
T s1b y2 sˆHBT( ; , y, b , ,m ,m , )p As φr
• latest “puzzle” in HBT?
• HBT radii from pp fall with pT
(as observed previously, usually attributed to string kT kick)…
• …but as much (proportionally) as dAu and AuAu ??• coincidence…?• something deeper…?
• What it does NOT mean:• AA=N*(strings)• AA=N*(“little blastwaves”)
• AA: global x-p correlations
localx-p corr.
NB: p-space observables identical in the two cases