Self-consistent account for phonon induced corrections to quadrupole moments of odd semi-magic nuclei

A self-consistent model is developed within the theory of finite Fermi systems to describe phonon coupling (PC) effects in moments of odd magic and semimagic nuclei. The model is based on the perturbation theory in g L, where gL is the vertex of creating the L-phonon. The phonon tadpole diagrams are taken into account in an approximate way, which turns out to be exact for the spurious 1 phonon. The calculation scheme is based on the Fayans energy density functional DF3-a and does not contain any adjusted parameters. The odd In and Sb are considered, which are the proton-odd neighbors of even tin nuclei. The 2+1 phonon is taken into account which is the most collective among the low-laying surface states. Its quadrupole moment is one of ingredients of the calculation scheme, with the corresponding values being found by us previously. The value of total PC correction to quadrupole moments turned out to be moderate due to strong cancelation of two main terms, due to the phonon Z-factor and due to the phonon-induced interaction. However, as a rule, the resulting PC correction is noticeable, making the overall agreement with the data significantly better. Self-consistent account for phonon induced corrections to quadrupole moments of odd semi-magic nuclei2