Abstract

Within the framework of the interacting boson model (IBM-2) we analyze $F$-vector $\ensuremath{\gamma}$ transitions in $\ensuremath{\gamma}$-soft nuclei for which the O(6) dynamical symmetry of the IBM provides an analytical description. For certain parameter combinations, the IBM-2 Hamiltonian is invariant with respect to the $d$-parity operation which changes the sign of each $d$ boson. This symmetry of the Hamiltonian is responsible for the existence of the $d$-parity quantum number which leads to selection rules for electromagnetic transitions. The breaking of the $d$-parity symmetry can be studied in mixed $E2/M1$ transitions, and especially the $E2/M1$ mixing ratio of the ${1}_{1}^{+}\ensuremath{\rightarrow}{2}_{1}^{+}$ $\ensuremath{\gamma}$ transition turns out to be a sensitive measure of IBM-2 parameters for $\ensuremath{\gamma}$-soft nuclei.

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