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

• Published in: Canadian journal of physics Vol. 99; no. 11; pp. 1024 - 1031
• Main Authors: Abu-Shady, M., Edet, C.O., Ikot, A.N.
• Format: Journal Article
• Language: English
• Published: 1840 Woodward Drive, Suite 1, Ottawa, ON K2C 0P7 NRC Research Press 01.11.2021; Canadian Science Publishing NRC Research Press
• Subjects: Aharanov–Bohm (AB) field; Atoms & subatomic particles; champ de Aharanov–Bohm (AB); champ magnétique extérieur; Charmonium; Effects; Eigenvalues; Energy of dissociation; external magnetic field; Fluctuations; Magnetic fields; Magnetic flux; Melts; modèle non relativiste; méthode de Nikiforov–Uvarov; Nikiforov–Uvarov method; non-relativistic model; Particle physics; Quark models; quarkonia; Quarks; Relativistic effects; Schrodinger equation; Temperature; Temperature dependence; Temperature effects; Egypt
• ISSN: 0008-4204; 1208-6045
• DOI: 10.1139/cjp-2020-0101

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 and bottomonium melts at 99.48 . 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.