Dissociation rates and recombination likelihood of bottomonium states in heavy-ion collisions at $\sqrt{s_{\rm NN}}$ = 5.02 TeV
In the medium of relativistic heavy-ion collisions, dissociation of the quarkonium and their survival have been studied to understand the properties of Quark Gluon Plasma (QGP). The coupled rates of dissociation and recombination reactions in QGP are commonly solved with the Boltzmann transport equation in which the formation and dissociation reactions compete with each other. Since the dissociation of newly formed bound-states is not accounted in the Boltzmann equation, a framework of decoupled rates is developed to assess the combined effect of gluon-induced dissociation and recombination (though it is small for $Υ$) together with color screening on bottomonium production in heavy-ion collisions at center of mass energy ($\sqrt{s_{\rm NN}}$) = 5.02 TeV. To calculate the recombination rates, we have employed an effective method of Bateman solution which makes sure the correlated effect between the recombination and the dissociation of the newly combined bottomonium in the QGP medium. The modifications of bottomonium have been estimated in an inflating QGP with the constraints matching with the dynamics of Pb+Pb collision events at LHC.