Toward a unified realistic shell-model Hamiltonian with the monopole-based universal force

Abstract

We propose a unified realistic shell-model Hamiltonian employing the pairing plus multipole Hamiltonian combined with the monopole interaction constructed starting from the monopole-based universal force by Otsuka et al. [Phys. Rev. Lett. 104, 012501 (2010)]. It is demonstrated that our proposed model can consistently describe a large amount of spectroscopic data as well as binding energies in the $pf$ and $p{f}_{5/2}{g}_{9/2}$ shell spaces and could serve as a practical shell model for even heavier mass regions.