Abstract

• In this paper, both the neutron and proton single-particle energy levels of A=51 mirror nuclei, 51Fe and 51Mn have been investigated by solving non-relativistic Schrödinger equation within the framework of Numerov method. In this calculation, phenomenological Woods-Saxon potential with spin-orbit interaction has been applied. Coulomb interaction is also taken into account for proton single-particle model approach. We also found that proton single-particle energy levels are higher than the neutron single-particle energy levels due to the effect of Coulomb repulsion. Moreover, there is some energy discrepancy between 51Fe and 51Mn mirror nuclei for proton single-particle model. This is due to the fact that the number of protons and neutrons are interchanged in the mirror nuclei. Moreover, the total root-mean-square radii of these mirror nuclei have also been investigated and the calculated values are found to be 3.57 fm for 51Fe and 3.56 fm for 51Mn respectively. We also observed the peculiar behavior in the relation between the binding energies and root-mean-square radii. Furthermore, the one nucleon and two nucleons separation energies have been investigated.