\begin{document}$ i_{13/2} $\end{document}. High-spin levels (27/2\begin{document}$ ^- $\end{document}) and (29/2\begin{document}$ ^- $\end{document}) in \begin{document}$ ^{135} $\end{document}Sb are taken over by the monopole effect induced by orbit \begin{document}$ i_{13/2} $\end{document}. The ground state and excited levels in \begin{document}$ ^{136} $\end{document}Sb are well improved by considering the monopole correction between neutron orbits \begin{document}$ f_{7/2} $\end{document} and \begin{document}$ h_{9/2} $\end{document}. The energy shrinking of the first excited state 5/2\begin{document}$ ^+ $\end{document} in \begin{document}$ ^{135,137} $\end{document}Sb isotopes is explained by the \begin{document}$ \pi d_{5/2} $\end{document} shift due to the attractive \begin{document}$ \pi d_{5/2} \nu f_{7/2} $\end{document}monopole interaction when increasingly more neutrons occupy orbit \begin{document}$ f_{7/2} $\end{document}. The ground state of \begin{document}$ ^{139} $\end{document}Sb is predicted as 5/2\begin{document}$ ^+ $\end{document} owing to the shrinking of the 5/2\begin{document}$ ^+ $\end{document}states in Sb isotopes that causes ground state inversion when N = 88. Further monopole effects extend the applicable range of the present Hamiltonian to nuclei with more neutrons above the N = 82 shell. This Hamiltonian will be public, and researchers are encouraged to contact the authors."> Further monopole effects in neutron-rich Sb isotopes -
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