Study of system-size dependence on the production and suppression of bottomonium states in heavy-ion collisions

In relativistic Heavy-Ion Collisions (HIC), scientists have discussed the bottomonium dissociation and survival to gain insights about the characteristics of Quark Gluon Plasma (QGP). The Boltzmann transport equation is commonly employed to explore the interaction between dissociation and recombination rates in QGP, where the processes of formation and dissociation exhibit competing dynamics. However, the Boltzmann equation does not account for the dissociation of new bound states created in QGP medium. To overcome this restriction, a system of independent rates has been developed. This approach assesses the combined effects of gluon-induced dissociation, recombination (although minor for the ϒ states), and color screening on the generation of bottomonium in HIC. The investigation includes PbPb and XeXe collisions at center-of-mass energies [Formula: see text][Formula: see text]TeV and [Formula: see text] TeV, respectively. Recombination rates are computed employing the efficient Bateman solution technique, ensuring a comprehensive examination of the interaction between the recombination and dissociation within the QGP, along with the limitations associated with PbPb and XeXe collision kinetics at the Large Hadron Collider (LHC). The model has demonstrated considerable success in accurately describing the suppression of ϒ[Formula: see text] states across collision systems of different sizes.