LAUSR

The neutron-rich nuclei near the doubly magic $^{132}$Sn have attracted much interest from both nuclear physics and nuclear astrophysics. For the particle-hole nuclei in this region, the low-lying and high core excitations have been well described by shell model calculations using the extended pairing plus multipole-multipole force model. However, there is a significant difference between experiment and theory in the high-spin level 17$^+$ of $^{132}$Te. We intend to achieve an illustration of the difference through monopole interactions. For this purpose, the monopole corrections between $\pi(\nu)0g_{7/2}, \nu 1d_{5/2}$ and $\pi(\nu)0h_{11/2}$ are investigated in $^{132-134}$Te, $^{131-133}$Sb, and $^{130}$Sn. Some theoretical levels are connected to the (17$^+$) state of $^{132}$Te with the Monopole correction (Mc) of $Mc(\nu d_{5/2},\nu h_{11/2})$ and the quadruple-quadruple force between proton and neutron, namely levels 3$^-$ (8$^-$) in $^{130}$Sn, level 14$^-$ in $^{132}$Te, and level 23/2$^-$ in $^{131}$Sb. Their observations in lower energies can confirm the datum of level (17$^+$) in $^{132}$Te with an illustration of monopole effects and quadruple-quadruple force.