The Influence of Global Monopole Space-time on Bound States, Scattering States and Thermodynamic Functions with Manning-Rosen Potential

In this study, the analytical eigensolutions of the radial Schr & ouml;dinger equation with a point-like global monopole under the combined Manning-Rosen potential and screened Coulomb self-interaction potential has been investigated. The Greene-Aldrich approximation was used to overcome the centrifugal barrier which allows for the derivation of the energy and wave function in closed form. The solution of the energy and wave function were applied to investigate the scattering phase shift and thermodynamics function variations with topological defect parameter, quantum numbers and temperature, respectively. The results reveal that the energy eigenvalues and wave function amplitudes are influenced by the quantum numbers and the topological defect parameters. The shift in energy eigenvalues observed are caused by the particle collisions that exist in the system. The scattering phase shifts were found to be sensitive to the rotational quantum numbers and topological defect values. The thermodynamic plots exhibit high dependency on the temperature and topological defect parameters considered. Specific observation is the Schottky anomaly which exists uniquely for the topological defect values at low temperatures. Our results agree with occurrences in physical phenomenon, as recorded in literatures.