Rapidity dependence of j psi production at rhic and lhc
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Rapidity dependence of J/psi production at RHIC and LHC. Yunpeng Liu (Tsinghua University). In collaboration with Zhen Qu (Tsinghua University) Nu Xu (LBNL) Pengfei Zhuang (Tsinghua University). Outline. Motivation Formalism Numerical Results Summary. Motivation. Unsolved Puzzle of.

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Rapidity dependence of J/psi production at RHIC and LHC

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Rapidity dependence of j psi production at rhic and lhc

Rapidity dependence of J/psi production at RHIC and LHC

Yunpeng Liu (Tsinghua University)

In collaboration with

Zhen Qu (Tsinghua University)

Nu Xu (LBNL)

Pengfei Zhuang (Tsinghua University)


Rapidity dependence of j psi production at rhic and lhc

Outline

  • Motivation

  • Formalism

  • Numerical Results

  • Summary


Rapidity dependence of j psi production at rhic and lhc

Motivation

Unsolved Puzzle of

Boost Invariance

(BRAHMS, PRL, 88, 2002)

RAA and <Pt2> of different rapidity at RHIC

(PHENIX, JPG, 2007)

A puzzle at RHIC

(Survival probability at SPS)

(Matsui, Satz, PLB, 1986)


Rapidity dependence of j psi production at rhic and lhc

Motivation

Survival probability,

determined by the

medium

General Scenario


More information from rapidity dependence

Motivation

More information from rapidity dependence

(H. Satz, talk at SQM2008, arXiv:0812.3829)

Rapidity dependence of <pt2> at RHIC

Same effects expected at LHC

if regeneration dominates.

(PHENIX, JPG, 2007)


Rapidity dependence of j psi production at rhic and lhc

Formalism

Boost Invariance

(BRAHMS, PRL, 88, 2002)

2+1D Ideal Hydrodynamics of the medium

2D Hydrodynamics at y=0

where

Quantities at different rapidity

are related by a boost.

with EoS as ideal gases of partons and hadrons.


Rapidity dependence of j psi production at rhic and lhc

Formalism

transport

Leakage effect

Dissociation

Time evolution

Longitudinal streaming

Thermal regeneration

Leakage Effect

(J. H├╝fner, P. Zhuang, 2003)


Solution of the transport equation

Formalism

Solution of the transport equation

Analytical Solution:

where


Rapidity dependence of j psi production at rhic and lhc

Formalism

The dynamical terms

Our treatment of the dynamical terms

(Asakawa, Hatsuda,

QM2006, lep-lat/0808034)

is related to by detailed balance.


Numerical results at mid rapidity

Numerical Results

Numerical results at mid-rapidity

RHIC

LHC

(Data from PHENIX, JPG, 2007)


Rapidity dependence of j psi production at rhic and lhc

Numerical Results

Parameters at RHIC

Rapidity dependent parameters at RHIC:

Charm Quark

(PHENIX, PRL, 98, 232002, 2007)

The rapidity independent

parameters are the same

as in our previous work.

(Liu, Qu, Xu, Zhuang,

arXiv:0901.2757)


Rapidity dependence of j psi production at rhic and lhc

Numerical Results

Rapidity dependence of RAA and <pt2> at RHIC

Initial: same medium,

similar suppression.

Regen: depend on charm

population

Total: sum of above two

Initial: from initial collision

and Cronin Effect

Regen: from thermalized

charms

Total: from the competition

(Data from PHENIX, JPG, 2007)

Forward

Middle

(Data from PHENIX, JPG, 2007)


Rapidity dependence of j psi production at rhic and lhc

Numerical Results

Extrapolation from RHIC and Tevatron

(Alice: Physics Performance Report, JPG,2006)

Parameters at LHC

Rapidity dependent parameters at LHC:

Charm Quark

Color Evaporation Model estimation

(Vogt etal, arXiv:hep-ph/0311048)

Rapidity distribution

estimated from PYTHIA

(Alice: Physics Performance

Report, JPG, 2006)

Boost invariance of the

medium is assumed


Rapidity dependence of j psi production at rhic and lhc

Numerical Results

RAA and <pt2> at LHC

Regeneration Dominates.

Larger suppression at forward

rapidity again at LHC.

Same medium,

same mean pt.

Forward

Middle


Rapidity dependence of j psi production at rhic and lhc

Numerical Results

Suppression for regeneration

Initial production

Regeneration

Good for SPS

Good for LHC


Rapidity dependence of j psi production at rhic and lhc

Numerical Results

Suppression for regeneration

Numerical results of S at RHIC and LHC

LHC

RHIC


Rapidity dependence of j psi production at rhic and lhc

Numerical Results

LHC

RHIC

Ratio at RHIC and LHC

(Data from PHENIX, JPG, 2007

except that errors of <pt2> is estimated from this ref)


Summary

Summary

Summary

  • Strengths

  • Assumptions and limitations

  • Both initial production and regeneration are included.

  • Leakage effect included.

  • Different rapidity regions considered together.

  • Both production and momentum spectrum calculated in the same method.

  • Shadowing effect is not considered.

  • Thermalization of charms.

  • Boost invariance of the medium.

  • Hydrodynamics of ideal fluid.

  • EoS of Ideal gas of hadrons and partons.


Rapidity dependence of j psi production at rhic and lhc

Summary

Summary

  • Both the rapidity dependence of RAA and that of <pt2> can

    be explained by the regeneration mechanism.

  • Signatures of regeneration dominance at LHC :


Rapidity dependence of j psi production at rhic and lhc

(STAR, Arxiv:0904.0439)

Prof. Pengfei Zhuang will talk about the Pt dependence of Raa


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