Eigenvalue spectra of non-relativistic particles confined by AB-flux field with Eckart plus class of Yukawa potential in point-like global monopole

In this work, we solve the radial Schrodinger wave equation in three dimensions under the Aharonov-Bohm (AB) flux field with Eckart plus class of Yukawa potential (CYP) in a point-like global monopole (PGM). We determine the approximate eigenvalue solution of the radial equation using the parametric Nikiforov-Uvarov (NU) method and analyze the effects of the topological defect and the magnetic flux field with this potential. Finally, we applied this eigenvalue solution to some potential models, such as Eckart potential, class of Yukawa potential, Hulthen plus Coulomb potential, and Eckart plus Yukawa potential. We show that the presence of the topological defects and the magnetic quantum flux field shifts the eigenvalue solution in comparison to the flat space results.