Vibrational anharmonicity in near closed shell isotopes

The anharmonicity in the [Formula: see text][Formula: see text]Cd, and [Formula: see text][Formula: see text]Te chain of isotopes, which lie close to magic number [Formula: see text], is analyzed from the study of the correlation of the energy levels in the ground band, and some anomalies in the various entities are pointed out. The split of the degeneracy of the phonon triplet and quintuplet is illustrated. Formation of multiple coexisting phonon multiplets, associated with higher lying excited [Formula: see text] and [Formula: see text] states, and intruder states, including 2p4h excitation, with varying deformations, in [Formula: see text]Cd is discussed. The interacting boson model (IBM) is applied for [Formula: see text] [Formula: see text]Cd. The results of a previous study of [Formula: see text] isotones in the dynamic pairing plus quadrupole model are cited for Cd and Te. The problem of collectivity as reflected in the quadrupole moments and [Formula: see text] values is analyzed. The enigma of deformation features in spherical [Formula: see text]Te, reflected in the transition probability [Formula: see text] is resolved. Charge dependence of [Formula: see text]2 transitions for vibrational nuclei, in producing enhanced [Formula: see text] strengths in Te versus Cd is illustrated.