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arXiv 1002.1884nucl-th
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$\sqrt{s_{NN}}=200$ GeV重离子碰撞中快度附近$R_{AA}$和PDMATHAAB

$R_{AA}$ of $J/ψ$ near mid-rapidity in heavy ion collisions at $\sqrt{s_{NN}}=200$ GeV

Taesoo Song, Woosung Park, Su Houng Lee

摘要:

我们建立了一个模型来再现实验测量的在$\sqrt{s_{NN}}=200$ GeV的Au+Au碰撞中近中速的$R_{AA}$。该模型考虑了夸克-胶子等离子体和强子气体对$J/ψ$的抑制,以及原初charmonia的核吸收和强子化阶段的再生效应,是Grandchamp和Rapp提出的双组分模型的推广.在这项工作中的改进是双重的,除了初始的本地温度分布和一致的使用QCD NLO公式的强子气体的解离截面和夸克-胶子等离子体的粲偶素态的热衰变宽度。初始的局部温度分布是从局部熵密度与参与者的数量和二进制碰撞的数量密度的公式成比例的假设来确定的,该公式再现了在化学冻结时带电粒子的多重性。由于$J/ψ$的初始熔融,初始局部温度曲线在$R_{AA}$曲线中产生扭结。最初形成的火球,由弱相互作用的夸克和胶子组成的热质量,从格点QCD提取,遵循圆柱对称的等熵膨胀。该拟合很好地再现了Au+Au以及Cu+Cu数据。同样的方法被应用到预测的$R_{AA}$预期从铅+铅碰撞在LHC能量。

英文摘要:

We build up a model to reproduce the experimentally measured $R_{AA}$ of $J/ψ$ near midrapidty in Au+Au collision at $\sqrt{s_{NN}}=200$ GeV. The model takes into account the $J/ψ$ suppression from the quark-gluon plasma and hadron gas as well as the nuclear absorption of primordial charmonia and the regeneration effects at the hadronization stage, and hence is a generalization of the two component model introduced by Grandchamp and Rapp. The improvements in this work are twofold; the addition of the initial local temperature profile and a consistent use of QCD NLO formula for both the dissociation cross section in the hadron gas and the thermal decay widths in the quark-gluon plasma for the charmonium states. The initial local temperature profile is determined from the assumption that the local entropy density is proportional to a formula involving the number densities of the number of participants and of the binary collisions that reproduces the multiplicities of charged particles at chemical freeze-out. The initial local temperature profile brings about a kink in the $R_{AA}$ curve due to the initial melting of $J/ψ$. The initially formed fireball, composed of weakly interacting quarks and gluons with thermal masses that are extracted from lattice QCD, follows an isentropic expansion with cylindrical symmetry. The fit reproduces well the Au+Au as well as the Cu+Cu data. The same method is applied to predict the $R_{AA}$ expected from the Pb+Pb collision at LHC energy.

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