Author/Authors :
Abu-Shady, Mohammed Department of Mathematics and Computer Sciences - Faculty of Science - Menoufia University, Menoufia, Egypt , Ahmadov, Azar I. Institute for Physical Problems - Baku State University, Baku, Azerbaijan , Fath-Allah, He M. Higher Institute of Engineering and Technology, Menoufia, Egypt , Badalov, Vatan H. Institute for Physical Problems - Baku State University, Baku, Azerbaijan
Abstract :
In the fractional nonrelativistic potential model, the decomposition of heavy quarkonium in a hot magnetized
medium is investigated. The analytical solution of the fractional radial Schr¨odinger equation for the hot-magnetized
interaction potential is displayed by using the conformable fractional Nikiforov-Uvarov method. Analytical
expressions for the energy eigenvalues and the radial wave function are obtained for arbitrary quantum numbers.
Next, we study the charmonium and bottmonium binding energies for different values of the magnetic field in
the thermal medium. The effect of the fractional parameter on the decomposition temperature is also analyzed
for charmonium and bottomonium in the presence of hot magnetized media. We conclude that the dissociation
of heavy quarkonium in the fractional nonrelativistic potential model is faster than the classical nonrelativistic
potential model.
