Abstract
Recent results of the description of quadrupole moments of odd semi-magic nuclei are briefly reviewed. They are based on the self-consistent theory of finite Fermi systems with account for the phonon-particle coupling (PC) effects. The self-consistent model for describing the PC effects was developed previously for magnetic moments. Account for the non-pole diagrams is an important ingredient of this model. In addition to previously reported results for the odd In and Sb isotopes, which are the proton-odd neighbors of even tin nuclei, we present new results for odd Bi isotopes, the odd neighbors of even lead isotopes. In general, account for the PC corrections makes the agreement with the experimental data significantly better.
Highlights
Spartak Belyaev was one the creators of the microscopic nuclear physics
Another way was chosen by Fayans with coauthors who developed the energy density functional (EDF) method [5,6,7,8] supposing that the EDF parameters include all the particle coupling (PC) effects on average
There are PC corrections to characteristics of odd nuclei which behave in a non-regular way depending on the nucleus under consideration and on the SP state |λ of the odd nucleon
Summary
Spartak Belyaev was one the creators of the microscopic nuclear physics. His famous article of 1959 [1] contained several cornerstones of modern nuclear theory. The quadrupole phonons are the surface vibrations, belonging to the Goldstone branch related to the spontaneous breaking of the translation symmetry in nuclei They play the main role in the problem of the phonon-particle coupling (PC) corrections to characteristics of the ground states of odd nuclei we consider. If we want to reach higher accuracy in reproducing nuclear data, we should try to separate some fluctuating part of the PC corrections in order to add them to the mean field predictions Such a programme was carried out for SP levels in magic [17] and semi-magic [27] and for the double odd-even mass differences of magic [28, 29] and semi-magic [30] nuclei.
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