Ground-state energies and charge radii of ${}^4$He, ${}^{16}$O, ${}^{40}$Ca, and ${}^{56}$Ni in the unitary-model-operator approach

Abstract

We study the nuclear ground-state properties by using the unitary-model-operator approach (UMOA). Recently, the particle-basis formalism has been introduced in the UMOA and enables us to employ the charge-dependent nucleon-nucleon interaction. We evaluate the ground-state energies and charge radii of ${}^4$He, ${}^{16}$O, ${}^{40}$Ca, and ${}^{56}$Ni with the charge-dependent Bonn potential. The ground-state energy is dominated by the contributions from the one- and two-body cluster terms, while, for the radius, the one-particle-one-hole excitations are more important than the two-particle-two-hole excitations. The calculated results reproduce the trend of experimental data of the saturation property for finite nuclei.

Comments: 8 pages, 1 figure, published in Prog. Theor. Exp. Phys