Effect of Deformation Vibrations onE2Branching Ratios in Deformed Even-Even Nuclei

Abstract

Ratios of electric-quadrupole reduced transition probabilities are calculated using a collective model. For transitions between positive-parity states the asymmetric-core model with $\beta$ vibrations is used, while for negative-parity states a similar model with $\zeta$ vibrations is used. The reduced transition probability can be divided into two factors, the first an adiabatic term, and the second due to the vibration on the deformation parameter. For small values of the stiffness parameter $\mu$, the vibrational contribution to the ratios is found to be a factor close to unity. However, this factor can be large for greater $\mu$. Experimental branching ratios of several deformed even-even nuclei are compared with theory.