Microscopic insight into the vibrational nature of114,116Cdisotopes

Abstract

The yrast spectra, quadrupole deformation parameter $({\ensuremath{\beta}}_{2}),$ occupation probabilities, intrinsic static quadrupole moments, and $B(E2)$ transition probabilities are calculated for ${}^{114,116}\mathrm{Cd}$ isotopes by carrying out cranked-Hartree-Bogoliubov calculations. These calculations have been performed by employing a quadrupole--quadrupole-plus-pairing model of residual interaction operating in a reasonably large valence space outside the ${}^{76}\mathrm{Sr}$ core. Our calculations show that the systematics of low-lying levels in ${}^{114,116}\mathrm{Cd}$ depend upon the simultaneous increase in the occupation probabilities of the ${(d}_{5/2}{)}_{\ensuremath{\nu}}$ and ${(h}_{11/2}{)}_{\ensuremath{\nu}}$ orbits and also on the subshell closure of the ${(p}_{1/2}{)}_{\ensuremath{\pi}},$ ${(p}_{1/2}{)}_{\ensuremath{\nu}},$ and ${(g}_{9/2}{)}_{\ensuremath{\nu}}$ orbits. It turns out that the vibrational character of the Cd isotopes, in general, is due to the nonpolarizability of the $Z=40$ and $N=50$ core.