Study on nuclear structures of Te isotopes beyond $N=82$ shell closure

Tellurium which has two valence protons above the $Z=50$ proton shell closure is well known for collective behavior in low-lying states. Therefore, Te isotopes are known to be a good test ground for studying nuclear collective modes but also the effect of neutron-proton interaction on the shell evolution with variation of neutron numbers owing to the valence protons above $Z=50$. For this reason Te isotopes always attract our attention, however, most available spectroscopic nuclear data of Te isotopes remains below $N=82$, and experimental data is severely limited above $N=82$. Meanwhile, recent study of $^{138}$Te by means of $\beta$-$\gamma$ spectroscopy with fission fragments of $^{238}$U has provided us with new clues on excited states in $^{138}$Te, and the new experimental result has proposed new excited states that were unexpected in the previous theoretical studies. This study aims at understanding structural evolution in Te isotopes above $N=82$ with respect to below $N=82$ including the new data set available today. In this presentation we discuss the nuclear structures and effective interactions in Te isotopes above $N=82$ based on the nuclear shell model and interacting boson approximations.