Axial asymmetry and the determination of effectiveγvalues in the interacting boson approximation

It is shown that the interacting boson approximation naturally incorporates an effective dynamical axial asymmetry which stems from softness in the corresponding classical potential in the $\gamma$ direction. An explicit relationship is obtained between the effective $\gamma$ deformation variable and the one parameter, $\chi$, characterizing interacting boson approximation calculations in an SU(3) → O(6) region.