Investigation of tensor contributions on the spin orbit splittings and proton gap on light, medium and heavy nuclei

In this work, we investigated the effect of tensor correlations on the spin orbit splittings and proton gap on light, medium and heavy nuclei within framework of Hartree-Fock approximation. Closed shell nuclei are used in this work. Tensor interaction is added to the Skyrme interactions and calculations are performed in coordinate space. Calculations are carried with Skyrme SLy5 and SkX interactions without tensor interaction and SLy5+T, SLy5+Tw, SkXa and SkXb with tensor interactions. We also investigated the effect of tensor correlations on binding energies and two neutron separation energies of nuclei. We observed effect of tensor interactions on binding energies, two neutron sepatarion energies, proton gap value and spin orbit splittings of nuclei. According to calculations it has been observed that tensor has no effect on closed shell nuclei however it has little effect on heavy nuclei.