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the Distribution of $J/\psi$ under the Influence of Quark-gluon Plasma

Aug 11, 2022, 9:10 AM


Prof. Luan Cheng (DLUT)


We study the hot-medium effects on charmonium. Previously most work were focused on the medium effects on the gluon propagator of the charmonium, but ignored that on the $c$ quark and $\bar{c}$ anti-quark. However, the hot medium interacts with not only gluons but also quarks. Here we study the hot-medium effects on both $c,\bar{c}$ and the transferred gluon based on two-particle fractal model. We analyze the probability and entropy of the charmonium from quark and charmonium aspects. We solve the probability and entropy equations and obtain the medium influencing factor $q_{gQ}$ and $q_Q$. The factor $q_{gQ}$ and $q_{Q}$ reflect medium effects on gluons and heavy quarks and on heavy quarks respectively. It is found $q_{gQ}$ and $q_Q$ are both more than 1. This implies that the hot medium influence both the transferred gluon and heavy quarks. When increasing the temperature $q_{gQ}$ and $q_{Q}$ are found to deviate more from $1$. This illustrates the hot medium influence charmonium more at higher temperature. We calculate the value of $q_{gQ}$ at critical temperature and obtain the transverse momentum spectrum of $J/\psi$. Our result shows a good agreement with the experimental data. The two-particle fractal model can be used to study other mesons and tetraquark system in the future.

Primary author


Prof. Enke Wang (South China Normal University) Prof. Luan Cheng (DLUT)

Presentation materials