Quartet Structure Above \(^{100}\)Sn and \(^{132}\)Sn Doubly Magic Isotopes

Abstract

We calculate energy levels and B(E2) values for the \(α\)-like nuclei \(^{104}\)Te and \(^{136}\)Te. Their energy structure is described within a Multi Step Shell Model (MSM) type approach by coupling proton-proton (pp), neutron-neutron (nn) and proton-neutron(pn) phonon states over the doubly magic nuclei \(^{100}\)Sn and \(^{132}\)Sn, respectively. We also compute the electric transitions for A = 102 and A = 134 Sn, Sb and Te nuclei, described within the Tamm-Dankoff Approach (TDA) with multipole-multipole residual interaction. The encountered similarities concerning the B(E2) values and wavefunctions of the coupled states corresponding to \(^{104}\)Te and \(^{136}\)Te are analyzed.