Hartree–Fock Mean Field Calculations with Random Phase Approximation for 140Ce Nuclei Structure

The fundamental technique for calculating excited states of nuclei over the Hartree–Fock ground state, as well as for energy density functionals, is known as random phase approximation (RPA). In this work, the nuclear structure of the ¹⁴⁰Ce will be studied within the framework of Hartree–Fock + self-consistent RPA utilizing two Skyrme interaction parameters (SIII, SGII). We obtained a good result for the correlation energy using SIII marginally higher than its experimental value and this indicates the magic number in this nuclei. The single-particle density corresponding to rms of two forces showed that the distribution of the proton density falls off at a lesser distance than that of other densities. It is inferred from the work that the method of Hartree–Fock depending on Skyrme forces within a self-consistent RPA scheme is good for describing the properties of ¹⁴⁰Ce spherical nucleus ground and excitation states.