Nuclear deformation study using the framework of self-consistence Hartree-Fock-Bogoliubov

In the present work the nuclear deformation of Sodium, Silicon, Chromium, and Samarium isotopes has been investigated within the framework of Skyrme-Hartree-Fock-Bogolyubov method. In particular, we investigate the behaviour the potential energy curves as a function of the quadrupole deformation parameter for these isotopes using SLy4 parameterization which give good agreement for the nuclear root mean square radii and binding energies. The variation effect of Skyrme parameterizations; SLy4, SLy7, SkM* and Skxs25 on the calculated values of the quadrupole deformation of the selected isotopes have been also disclosed in appropriate figures.