Microscopic analysis of a correlation between dipole transitions 1^-₁ to 0^+_(g.s.) and 3^-₁ to 2^+₁ in spherical nuclei

Correlation between B($E1, 1^-_1 \to 0^+_{g.s.}$) and B($E1, 3^-_1 \to 2^+_{1}$) values are considered within microscopic QRPA approach. General arguments for a dependence of a ratio between these values on a collectivity of the $2^+_1$ and $3^-_1$ phonons and ground state correlations are provided.