Abstract

• In this research work, nucleons single-particle energy levels of 90Zr have been investigated by solving non-relativistic Schrödinger equation within the framework of Numerov method. In this calculation, phenomenological Wood-Saxon potential has been applied and Coulomb interaction is taken into account for proton state investigation. Due to the effect of Coulomb repulsion the singleparticle energy levels of proton is higher than neutron. Moreover, 90Zr permits the application of Hartree-Fock Random Phase Approximation RPA based Skyrme effective nucleon-nucleon interaction KDE0v1, BsK1, SIII, SVII and SGOI. So, the calculated results were compared with two set parameters of Skyrme interaction: BsK1, SVII and available experimental data. The results were agreed with these two parameters and experimental data.