The charmonium states with their different binding energies and radii dissolve at different temperatures of the medium produced in relativistic heavy-ion collisions. Relative yields of charmonium and thus their survival have potential to map the properties of Quark Gluon Plasma. In this study, we estimate the combined effect of color screening, gluon-induced dissociation and recombination on charmonium production in heavy-ion collisions (Pb+Pb ions) at center of mass energy $(\sqrt{s_{\mathrm{NN}}})=5.02$ TeV. The rate equations of dissociation and recombination are solved separately with a 2-dimensional accelerated expansion of fireball volume. To solve the recombination rate equation, we have used an approach of Bateman solution which ensures the dissociation of the recombined charmonium in the QGP medium. The modifications of charmonium states are estimated in an expanding QGP with the conditions relevant for Pb+Pb collisions at LHC.

具有相对结合能和半径的produced状态在相对论重离子碰撞中产生的介质的不同温度下溶解。charm的相对产率及其存活率具有绘制夸克胶子等离子体特性的潜力。在这项研究中，我们估计了颜色筛选，胶子诱导的解离和重组对质子中心重离子碰撞（Pb + Pb离子）中的charm产生的综合影响。$（\sqrt{s_{\mathrm{神经网络}}}）=5.02$TeV。解离和重组的速率方程是用火球体积的二维加速扩展分别求解的。为了解决重组率方程，我们使用了一种Bateman解决方案，该方法可确保重组charm在QGP培养基中解离。在扩大的QGP中，估计了charm气态的修饰，该条件与LHC的Pb + Pb碰撞有关。