Self-Consistent RPA Calculations for the Excitation to the Negative Parity States in Closed-Shell Nuclei

Abstract

In the present research, some static and dynamic nuclear properties of the closed-shell nuclei; ${}^{16}$O, ${}^{34}$Si, ${}^{40}$Ca, and ${}^{48}$Ca nuclei, have been studied using the self-consistent random phase approximation and applied with different Skyrme parameterizations, namely; SyO${-}$, SyO${+}$, BSk17, Sk255, SLy4 and SLy5. In particular, investigations of static properties are carried out, such as various nuclear densities with associated root-mean-square radii, neutron skin thicknesses, the binding energy per nucleon, and the single-particle radial nuclear density distributions. All the obtained results agreed well with the relevant experimental data. Concerning the dynamic properties, the excitation energy, transition density, and giant resonance modes for the excitation to the low-lying negative parity excited states 1${}^{-}$, 3${}^{-}$, 5${}^{-}$, and 7${}^{-}$ have also been studied. The present work shows that the Skyrme–Hartree–Fock (SHF) method with RPA successfully describes the ground states of closed-shell nuclei and their excitations to the negative parity states.