Investigation Some Nuclear Ground State Properties of The 89Y, 138,139La and 175,176La Rare Earth Elements

Abstract

One of the important arguments that will carry today's world to the high technology of the future is the rare earth elements. However, energy will be the most important field in future technology and also, the most important issue in the field will be fusion energy. Of course, as all areas of technology, the rare earth elements will make an important contribution to the development of fusion technology. Also, the nuclear structure of the rare earth elements in nuclear physics has always been the focus of interest and is still a subject that is frequently studied today. Therefore, in this study, nuclear ground state properties such as the binding energies per particle, the rms charge proton and neutron density radii, the deformation parameters and the quadrupole moments of the rare earth nuclei as 89Y, 138,139La and 175,176Lu are calculated using the Skyrme-Hartree-Fock-Bogolyubov method. The calculations are performed with HFB9, SIII, SKI3, SKM *, SKO, SKP, SKX, SLY4, SLY5, SLY6, SLY7, UNE0 and UNE1 Skyrme force parameters. Also, the results are discussed and compared with the available experimental data.