Relation between E2-transition probabilities for nuclei that are soft with respect to β vibrations

For collective even-even nuclei, a relation between the E2-transition probabilities, which characterize the decay properties of \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document} $$0_{2^ - }^ + $$ \end{document} and 2γ+ states, are obtained. This relation features no free parameters; it is applicable to describing nuclei that are soft with respect to β vibrations. The 152Sm and 154Gd nuclei are considered as examples illustrating the application of the aforementioned relation.