Charmonia and bottomonia in asymmetric magnetized hot nuclear matter

Abstract

We investigate the mass-shift of P-wave charmonium ( , ), and S and P-wave bottomonium ( , , , and ) states in magnetized hot asymmetric nuclear matter using the unification of QCD sum rules (QCDSR) and the chiral model. Within QCDSR, we use two approaches, i.e., the moment sum rule and the Borel sum rule. The magnetic field induced scalar gluon condensate and the twist-2 gluon operator calculated in the chiral ) model are utilised in QCD sum rules to calculate the in-medium mass-shift of the above mesons. The attractive mass-shift of these mesons is observed, which is more sensitive to magnetic field in the high density regime for charmonium, however less so for bottomonium. These results may be helpful to understand the decay of higher quarkonium states to the lower quarkonium states in asymmetric heavy ion collision experiments.