E2transition andQJ+systematics of even mass xenon nuclei

Abstract

The yrast spectra with ${J}_{\mathrm{max}}^{\ensuremath{\pi}}{=10}^{+},B(E2)$ transition probabilities and ${Q}_{{J}^{+}}$ values are calculated for even-even xenon isotopes by carrying out variation-after-projection calculations in conjunction with a Hartree-Fock-Bogoliubov (HFB) ansatz employing a pairing-plus-quadrupole-quadrupole effective interaction operating in a reasonably large valence space outside the ${}^{100}\mathrm{Sn}$ core. Our calculations reveal that the systematics of low-lying yrast states in these isotopes are intricately linked with the manner in which neutrons tend to occupy the various valence orbits. The results on $B(E2)$ transition probabilities predict a dip in the isotopes ${}^{114,116,120,124,128}\mathrm{Xe},$ which might be construed to imply different structures for ${}^{114,116,120,124,128}\mathrm{Xe}$ as compared to their neighbors. Besides this, our results also reveal that both the HFB technique and the quadrupole-quadrupole-plus-pairing model of the two-body interaction are fairly reliable in this mass region.