Non-trivial aspects of the onset of nuclear collectivity: Static moments

Abstract

We consider several topics concerning static magnetic dipole and electric quadrupole moments ($\mu$ and $Q$) as signatures of the onset of nuclear collectivity. Having previously noted that in ${}^{50}\text{mbox}Cr$ there is an abrupt change of sign in $Q$ of yrast states with $J^{\pi }=10^{+},12^{+}$, and $14^{+}$ relative to lower $J$ states, we discuss whether these states are oblate or prolate. We next show that configuration mixing leads to much larger changes in $Q$ than in $\mu$. We then look for other bands of interest in ${}^{50}\text{mbox}Cr$. Finally we discuss the Jolos-von Brentano relationship which relates $Q$ of $2_1^{+}$ states to $B(E2)$'s for transitions from and to the $2_1^{+}$ states.

Comments: 5 pages, LaTex, no figure