Spectroscopic factors of magic and semimagic nuclei within the self-consistent theory of finite Fermi systems

TL;DR

This paper develops a self-consistent approach within the finite Fermi systems theory to calculate spectroscopic factors of magic and semimagic nuclei, incorporating both surface-phonon coupling and in-volume energy dependencies.

Contribution

It introduces a comprehensive scheme that accounts for in-volume energy dependence of the mass operator, enhancing the accuracy of spectroscopic factor calculations in nuclear physics.

Findings

Surface and in-volume contributions to SFs are comparable in magnitude.

Results are provided for $^{40,48}$Ca, $^{208}$Pb, and lead isotopes.

The method improves understanding of nuclear structure effects.

Abstract

A scheme is presented to find single-particle spectroscopic factors (SF) of magic and semimagic nuclei within the self-consistent theory of finite Fermi systems (TFFS). In addition to the energy dependence of the mass operator $\Sigma$ induced by the surface-phonon coupling effects which are commonly considered in this problem, the in-volume energy dependence of the operator $\Sigma$ inherent in the self-consistent TFFS is also taken into account. This dependence arises due to the effect of high-lying particle-hole excitations and persists in nuclear matter. The self-consistent basis of the energy density functional method by Fayans {\it et al.} is used. Both the surface and in-volume contributions to the SFs turned out to be of comparable magnitude. The results for magic $^{40,48}$Ca and $^{208}$Pb nuclei and semimagic lead isotopes are presented.