Analysis of low-lying states, neutron-core excitations, and electromagnetic transitions in tellurium isotopes Te130–134

The neutron-rich $^{130--134}\mathrm{Te}$ isotopes are investigated by large-scale shell-model calculations with the extended pairing plus multipole-multipole force (EPQQM model). The orbits of $(0{g}_{7/2},1{d}_{5/2},1{d}_{3/2},2{s}_{1/2},0{h}_{11/2})$ are included for both proton and neutron model space, while two more neutron orbits $(1{f}_{7/2},2{p}_{3/2})$ above the $N=82$ shell gap are included to study neutron-core excitations. The higher core-excited states in $^{132,133}\mathrm{Te}$ are calculated for the first time in this region. The present work well describes both the low-lying and the high-energy states for $^{134}\mathrm{Te}$, $^{133}\mathrm{Te}$, and $^{132}\mathrm{Te}$, as well as the low-lying levels of $^{131}\mathrm{Te}$ and $^{130}\mathrm{Te}$. The several multiplets with clear boundary exist in $^{134,133}\mathrm{Te}$, while a new configuration lying between 4.8 and 6.0 MeV is found as a theoretical prediction in $^{134}\mathrm{Te}$. Finally, the transition probabilities in these nuclei are calculated and compared with available data. The predicted energy levels and electromagnetic transition will be useful for planning future experiments.