E2 transitions between excited single-phonon states: Role of ground-state correlations

Abstract

The probabilities for E2 transitions between low-lying excited 3⁻ and 5⁻ single-phonon states in the ²⁰⁸Pb and ¹³²Sn magic nuclei are estimated on the basis of the theory of finite Fermi systems. The approach used involves a new type of ground-state correlations, that which originates from integration of three (rather than two, as in the random-phase approximation) single-particle Green’s functions. These correlations are shown to make a significant contribution to the probabilities for the aforementioned transitions.