Shape coexistence and first-forbidden decay of ${}^{92}\mathrm{Rb}$ to ${}^{92}\mathrm{Sr}$

The effects of shape coexistence on first-forbidden ${\beta }^{-}$ decay of the $0^{-}$ ground state of ${}^{92}\mathrm{Rb}$ to the $0^{+}$ ground state and $2^{+}$ states in ${}^{92}\mathrm{Sr}$ were studied within the beyond-mean-field complex excited Vampir variational model. The structure of the parent and daughter states and the $\beta$-decay properties were investigated using an effective interaction derived from a $G$ matrix based on the charge-dependent Bonn CD potential and a large model space. The effects of shape coexistence and mixing revealed by the structure of the involved states on the properties of the investigated ground state to ground state and first-forbidden unique transitions are discussed and comparison to the available data is presented.

Figure 1

Spectroscopic quadrupole moments of the $2^{+}$ daughter states in ${}^{92}\mathrm{Sr}$.