HBT Radii and Space-Momentum Correlation at RHIC
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Transcript of HBT Radii and Space-Momentum Correlation at RHIC
HBT Radii and Space-Momentum Correlation at RHIC
Jingbo Zhang
Department of Physics, Harbin Institute of Technology
July 11, 2008 @ Hefei
July 11, 2008
HBT effect uses to find the size of the fireball from a measurement of two particle correlation function.
Two particle correlation function
)(1 kk
)(2 lk
ondistributi particle single :)( on,distributi particle two:),( 11212
2111
21221
)()(
),(),(
kPkkP
kPkP
kkPkkC
source theofdensity Wigner particle single :),(
,2 2121
2224
1114
24
),(),(
)2,(1),(
kxS
kkqkkK
kxSxdkxSxd
eKxxSdqKC
xiq
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Transverse mass dependence: Au+AuTransverse mass dependence: Au+Au
LPSW(05) - DATA in color-- experimentalist’s plot
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Transverse mass dependence:Transverse mass dependence: elementary collisions elementary collisions
mT dependence in elementary collisions (e.g. OPAL, DELPHI, E735) usually attributed to
• String fragmentation
• Resonance contribution
• Heisenberg uncertainty
G. Alexander, hep-ph/0302130
DELPHI - e+e- annihilation
July 11, 2008
Transverse mass dependence: pTransverse mass dependence: p++pp
p+p: HBT radii decrease with increase of mTSTAR data
flow not expected in such a small system as p+p
Shuryak: hep-ph/0405066
mT dependence of HBT radii in pp is not generated by the transverse flow, but by the transverse temperature inhomegeneities of hadron-hadron collisions due to the freezing scale – Csorgo et al.: hep-ph/0406042
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Surprising Surprising SScalingcaling
All pT(mT) dependences of HBT radii observed by STAR scale with pp although it’s expected that different origins drive these dependences
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RQMD + Correlation after a burner
222222
1)( llssoo RqRqRqeqC
mt-dependence due tocollective flow?or space-momentumcorrelation?
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Single-particle mt-spectra
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Slope Parameter
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Radial Expansion Velocity
outp
TTout pRp
outp
Tp
outR
0outv
0outv
x
y
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Single-particle mt-spectra II
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HBT Radii without SMC
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Summary
• The mt-dependence of HBT appears in both heavy-ion and elementary collisions
• The different mechanism may drive such a dependence.
• However, it can be considered as a universal reason: space-momentum correlation.
• The “surprising scaling” of HBT radii suggests that the SMC should be studied in detailed.