Particle-phonon coupling effects within theory of finite Fermi systems

TL;DR

This paper reviews the effects of particle-phonon coupling in finite Fermi systems, demonstrating its importance in accurately describing nuclear properties such as energies, moments, and charge radii.

Contribution

It introduces a comprehensive self-consistent approach including non-pole diagrams for particle-phonon coupling effects in nuclei, improving data agreement.

Findings

Accurate PC corrections to single-particle energies in $^{40}$Ca and $^{208}$Pb.

Improved calculations of quadrupole moments in odd In and Sb isotopes.

Resolution of high charge radii in heavy Ca isotopes through PC effects.

Abstract

Recent results of the study of the particle-phonon coupling (PC) effects in odd magic and semi-magic nuclei within the self-consistent theory of finite Fermi systems are reviewed. In addition to the usual pole diagrams, the non-pole ones are considered. Their contributions are often of a crucial importance. PC corrections to the single-particle energies for $^{40}$Ca and $^{208}$Pb are presented. The quadrupole moments of odd In and Sb isotopes, the odd-proton neighbors of even Sn isotopes, are presented also with accounting for the PC corrections. At last, recently announced problem of extremely high values charge radii of heavy Ca isotopes is solved in terms of a consistent consideration of the PC effects. In all the cases, rather good description of the data is obtained.