Topological defects on mass spectra of quarkonium system with a Class of Yukawa potential (CYP)

In this paper, our focus lies in investigating nonrelativistic quantum systems under external potentials by solving the Schrödinger wave equation within a topological defect background. We opt for a class of Yukawa potential (CYP) and substitute the screening parameter with the Debye mass, which varies with temperature. Employing a Taylor series expansion to simplify the exponential term, we solve the radial wave equation, yielding an analytical solution for the quantum system in question, referred to as the Quarkonium system. Our analysis reveals that the presence of a topological defect modifies the energy profile of the Quarkonium system, consequently disrupting the degeneracy of the energy spectra.