Multiparticle Adhesive Dynamics. Interactions between Stably ...
Structure and Fine Structure seen in e + e - , pp, pA and AA Multiparticle Production
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Transcript of Structure and Fine Structure seen in e + e - , pp, pA and AA Multiparticle Production
Structure and Fine Structure seen in e+e-, pp, pA and AA Multiparticle
Production
Wit Busza
MIT
BNL workshop, May 2004
In high energy heavy ion collisions a fascinating highly interacting medium is produced
Aim of talk:
Look at the main longitudinal features in pp, pA, dA and AA multiparticle production to see if we can get some insight into what is happening during the collision process
By-product: reminder of some relevant facts seen in pA collisions
Bottom line, for center of mass energies >10GeV:
Structure (<20% accuracy):
1. Multiplicities and rapidity distributions in e+e-, pp, pA and AA are the same provided one takes the appropriate normalization and the appropriate energy.
- the approriate normalization for symmetric collisions is Npart/2 and for asymmetric ones it is a linear function of rapidity, at each end proportional to the number of incident participants.
- the appropriate energy is the same for ee and AA (√SNN ), and for pp, pA and dA it is approximately 2 √SNN .
2. The basic structure of dn/dy is approximately a gaussian, whose growth with energy is primarily determined by an ever increasing “limiting fragmentation region” (related to the increase of the rapidity of the incident particles)
-
Fine Structure (<10% accuracy):
1. Independent of energy, increasing Npart redistributes the particles in rapidity,
keeping the total per participant constant, in such a way that
a). The increase in mid-rapidity dn/dy is proportional to Npart
b). The number of particles at the larger values of y decrease correspondingly
(note: energy conservation is presumably satisfied by changes in the
transverse momentum of particles)
2. Nuclear fragments or cascading of particles slightly increases the density of
particles with rapidity close to that of incident nuclei.
Hyperfine Structure ( accuracy?):
Production of different types of produced particles, etc.
From the lowest to the highest energies studied, important changes occur in the system created in the collision
yet the number of final particles produced in any element of longitudinal phase space seems to be determined by the early stages of the collision process
Is the simplicity seen in the data trivial?
Is nature trying to give us some important clues?
I am convinced that any correct theoretical description of AA collisions will automatically contain the basic features described above. They will not be the consequence of detailed calculations or accidents.
SHAPE
OF dN/dy
Warning: rapidity y pseudorapidity
change of reference frame:
⇏
Approximation = y is good provided that
p>>m and >>
€
′y ⇒ y + Δyrelative
€
′
€
+Δyrelative
€
−y = tanh−1 cosϑ − tanh−1 β
η − y = tanh−1 pl
p− tanh−1 pl
E
€
1
γ
NA5 DeMarzo, et al (1984)
QuickTime™ and aTIFF (LZW) decompressor
are needed to see this picture.
E178
From D. ChaneyFrom Whitmore review, NAL-Pub 73/70 (1973)
E178 see:
W.Busza, Acta Phys. Pol. B8 (1977) 333
J.E.Elias et al., Phys.Rev.D22(1980) 13
W.Busza Nuclear Physics A418 (1984)635c-645c
Boost-invariance?E895 E895 E895
BRAHMS
prel.
NA49 NA49
Compiled by Gunther Roland
dN/d
19.6 GeV 130 GeV 200 GeVPHOBOS
Is there a boost invariant central plateau?
UA5 / CDF
dN/d
€
p p
AuAu
4GeV AuAu
6GeV AuAu
8GeV AuAu
40GeV PbPb
158GeV PbPb
200GeV AuAu
QuickTime™ and aTIFF (LZW) decompressor
are needed to see this picture.
Compiled by Peter Steinberg
QuickTime™ and aTIFF (LZW) decompressor
are needed to see this picture.
E178: pA data
Data for different (=Npart-1)
Preliminary
√SNN=9.7 GeV
At first glance both pA and dA seem to be very different
13.7 GeV 19.6 GeV
PHOBOS Multiplicity Detector
E178 @ Fermilab: “Phobos 1”
Phobos @ RHIC
E178: Busza, Acta Phys. Pol. B8 (1977) 333 Elias et al, Phys. Rev. D 22 (1980)13
QuickTime™ and aTIFF (LZW) decompressor
are needed to see this picture.
200 GeV€
R η( ) ≡
dn
dηpA or dA( )
dn
dηpp( )
(lab)
pAu 200GeV(lab)
Brick et al.
h-Emulsion
€
= Npart − 1( ) = 2.4
Unexpected long range correlations
ENERGYDEPENDENCE
PHOBOS 200 GeVPHOBOS 200 GeV
€
pp → pX ≡ pp → X
provided Mx2 is the same
A.Brenner et a., Phys.Rev.D26 (1982) 1497l
The appropriate energy for pp, pA and dA is approximately 2√SNN
In pp collisions, on average, approximately half the energy goes into the leading baryon
QuickTime™ and aTIFF (LZW) decompressor
are needed to see this picture.
)/exp( sBsch CAN αα=
Compiled by Peter Steinberg
e-e+ and AA have same energy dependence
PHOBOS Au+Au
dN
ch/d
′/
<N
par
t>/2 6% central
beamy−≡′
p + p
dN
/d′
UA5
beamy−≡′
Collision viewed in rest frame of CM:19.6 GeV 130 GeV 200 GeVPHOBOS PHOBOS PHOBOS
Collision viewed in rest frame of one nucleus:
Energy dependence of particle production“Limiting fragmentation”
AuAu AuAu
“Limiting Fragmentation” in pA and dAPHOBOS
Why overlap region grows with energy?
Is it evidence of saturation?
(imagine RHIC with asymmetric energy collisions)
(Can CGC be relevant at 6.7GeV?)
PHOBOS
Directed flow:Elliptic flow:
Phobos preliminary
NA49
Compiled by Steve Manly
Flow related to particle density!
INCIDENT SYSTEM (CENTRALITY) DEPENDENCE
Amazing Npart scaling for , K, p, d-A collisions for √SNN between 10 and 200 GeV
€
Nch
N part
2 ⎛
⎝ ⎜
⎞
⎠ ⎟= Constant
€
Nchpp
Each participant pair adds Npp .
Gains at low losses at high
€
N chpp
E178: W.Busza, Acta Phys. Pol. B8 (1977) 333 J.E.Elias et al, Phys. Rev. D 22 (1980)13
Compiled by Rachid Nouicer
Phobos and E178 data
E178
E178
E178
p
K+
+
Npart= 7Ncoll.= 10Nquarks +gluons = ?
inel ~ (R1+R2)2 ~ (A11/3 + A2
1/3)2 ~ A2/3
Npart ~ A2/3(A11/3+ A2
1/3) ~ ANcoll ~ A2/3(A1
1/3 * A21/3) ~ A4/3
Why the following is equivalent to the above?
Why Npart (=+1) is such a relevant parameter in all regions of rapidity and at all energies?
hA, √SNN 10 to 20 GeV
Radius ~ A1/3
Hadron cross section for first collision, meson cross section subsequently
PHOBOS Au+Au
dN
ch/d
′/<
Np
art>
/2
6% central
beamy−≡′
p + p
dN
/d′
UA5
beamy−≡′
Fine structure of centrality dependence
central
peripheral
130 GeV PHOBOS AuAu
260GeV pp
200 GeV
130 GeV
19.6 GeV
Phobos Centrality Dependence at | < 1
Particle quenching in the top two units of rapidity
From E451:Barton et al Phys Rev 27 (1983)2580
pA pX
pA pi-X
XF
y-2 -1 0
Pt=0.3GeV/c
100GeV(lab)
Pt=0.3GeV/c
central
peripheral
130 GeV PHOBOS
€
XF =Pl
Pinc
QuickTime™ and aTIFF (LZW) decompressor
are needed to see this picture.
Brick et al.
200GeV(lab)
QuickTime™ and aTIFF (LZW) decompressor
are needed to see this picture.
Aα of pA hXBarton et al Skupic et al
-2 -1 0 y
From E451:Barton et al Phys Rev 27 (1983) 2580
What I see in the multiparticle production data
1. Same features occur in e+e-, pp, pA, dA and AA from 10 to 200GeV
2. For all systems, at all energies, the features can be described in terms of a few simple rules
3. Npart is a key parameter
4. Considering that we are certainly passing through very different intermediate states, the similarity of the features in e+e-, pp, pA, dA, and AA is intriguiging, it suggests that the number of final particles produced in any element of longitudinal phase space is determined by the early stages of the collision process
5. Expanding “fragmentation region” clearly shows something is saturating
6. Strongly interacting matter seems to be remarkably “black” to fast partons.
I am convinced that any correct theoretical description of AA collisions will automatically contain the basic features described in this talk. They will not be the consequences of detailed calculations or accidents.
For center of mass energies >10GeV
Structure (<20% accuracy):
1. Multiplicities and rapidity distributions in e+e-, pp, pA and AA are the same provided one takes the appropriate normalization and the appropriate energy.
- the approriate normalization for symmetric collisions is Npart/2 and for asymmetric ones it is a linear function of rapidity, at each end proportional to the number of incident participants.
- the appropriate energy is the same for e+e- and AA (√SNN ), and for pp, pA and dA it is approximately 2 √SNN .
2. The basic structure of dn/dy is approximately a gaussian, whose growth with energy is primarily determined by an ever increasing “limiting fragmentation region” (related to the increase of the rapidity of the incident particles)
-
You can find a discussion of some of the data presented here on Phobos WEB-site: www.phobos.bnl.gov/Publications/Proceedings/phobos_proceedings_publications.htm