3 p Correlation at RHIC Reference : nucl-th/0310057 森田健司 ( 早大理工 ) 室谷心 ( 徳山女子短大 ) 中村博樹 ( 早大理工 ) Introduction Models Effect of long-lived resonances on the 2 p correlation Q 3 dependence of the 3 p correlation Results Summary ‘Measure’ : chaoticity l “HBT Puzzle” HBT Effect
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Reference : nucl-th/0310057
Chaotic (=random relative phase)
affected by other effects (Long-lived resonance, Coulomb int., etc...)Motivation – Chaotic or Coherent?
(Local) equilibrium? / Exotic phenomena?
Intensity Correlation as a ‘Measure’
Chaoticity of the source and Information on geometry (size)
Chaoticity and asymmetry of the source
=1 for chaotic source
Not affected by long-lived resonances
l = 0.91-0.97
from the above e
lexp = 0.5 @ Central Au+Au 130A GeV
Consistency ?Analysis by STAR Col.
STAR Coll., nucl-ex/0306028
Extraction of w from r3(Q3)
Chaotic fraction e
Using Partial Coherent Model
e ~ 0.8
(80% of pions come from the chaotic source)
quadratic/quartic fit to extract w
-distinguish production mechanism ?
Heinz and Zhang, PRC56, 426(’97), Nakamura and Seki, PRC61, 054905 (’00)
Model I : Partial Coherent
Parameter: chaotic fractionepc
Note : 0 < epc < 1
Parameter: mean # of coh. sources am
Model II : Multicoherent
Each of the models contains single parameter only.
Model III : Partial Multicoherent
e : Chaotic Fraction, a : Mean # of Coh. Sources (Poisson Dist.)
Note : 0 < e < 1
Consistent determination of e and a from l and w
Gyulassy and Padula, PLB217,181 (’88), Heiselberg, PLB379,27 (’96), Csorgo et al., Z.Phys.C71, 491 (’96)
x : p production point
average on lifetime t
Experimental resolution ofq : ~ 5 MeV
Resonances with larger G cannot be resolved!
Need : Estimation of # of long-lived resonances
Ks0, h, h’, f, L, S, X
(up to S*(1385) )
T=160-180 , mB = 40-50, mS = 9, mI3 = -1 [MeV]
Cleymans and Redlich (1999), Broniowski and Florkowski (2001), Braun-Munziger et al., (2001)
lexp = 0.5 (STAR, PRL87,082301 (’01))
0.817 < l < 0.896
r3(Q3)/2 : Constructed from C2(Qij) and C3(Q3)
Need to establish functional form of C2 and C3 to obtain r3(0)/2
Experiment : decrease with Q32
Chaotic Source : ~1 at small Q32
increase at large Q32
due to projection
Decrease with Q3 – coherent components must exist
Value of w :
0.873 - 0.892
0 < e < 0.26
4.71 < a < 8.62
All models show partial coherent source