Non-relativistic quark model under external magnetic and Aharanov–Bohm (AB) fields in the presence of temperature-dependent confined Cornell potential

Abstract

The dissociation of quarkonia in a thermal QCD medium in the background of Aharanov–Bohm (AB) and strong magnetic fields was investigated. For this purpose, the Schrödinger equation with charged quarkonium in the Cornell potential under the influence of the AB flux and an external magnetic fields directed along the z-axis was employed. Using the Nikiforov–Uvarov (NU) method, the energy eigenvalue was obtained. The effects of temperature, AB flux, and external magnetic field were studied. The study shows that the dissociation energies of the 1S states of charmonium and bottomonium decrease with increasing temperature, AB flux, and external magnetic field. In addition, the quarkonium melts faster in a hot medium in the presence of an AB flux and an external magnetic field. We found that charmonium melts at 13.79 [Formula: see text] and bottomonium melts at 99.48 [Formula: see text]. A comparison was conducted with other studies. Thus, the present non-relativistic model provides satisfactory results for the dissociation binding energy in a hot medium when the AB flux and external magnetic fields are included.