Further monopole effects in neutron-rich Sb isotopes

Abstract The level spectra of neutron-rich Sb isotopes have been investigated within a shell-model space containing cross-shell excitations and the intruder orbit $i_{13/2}$.
High-spin levels (27/2$^-$) and (29/2$^-$) in $^{135}$Sb are taken over by monopole effect induced by the orbit $i_{13/2}$.
The ground state and excited levels in $^{136}$Sb are well improved by considering monopole correction between neutron orbits $f_{7/2}$ and $h_{9/2}$.
The energy shrinking of the first excited state 5/2$^+$ in $^{135,137}$Sb isotopes is explained by
the $\pi d_{5/2}$ shift due to the attractive $\pi d_{5/2} \nu f_{7/2}$ monopole interaction when more and more neutrons occupy the orbit $f_{7/2}$.
The ground state of $^{139}$Sb is predicted as 5/2$^+$: due to the shrinking of states 5/2$^+$ in Sb isotopes that causes ground state inversion when N = 88.
These further monopole effects extend the applicable range of present Hamiltonian to nuclei with more neutrons above N = 82 shell.