Consistent analysis of one-nucleon spectroscopic factors involving weakly- and strongly-bound nucleons

TL;DR

This paper investigates how one-nucleon spectroscopic factors depend on neutron and proton separation energy asymmetries in mirror nuclei and neon isotopes, using the shell model embedded in the continuum to understand configuration mixing effects.

Contribution

It introduces a study employing the shell model embedded in the continuum to analyze the sensitivity of spectroscopic factors to separation energy asymmetries in various nuclei.

Findings

Spectroscopic factors show limited dependence on $S_n - S_p$ asymmetry.

Configuration mixing is influenced by proximity to decay thresholds.

Results help clarify the role of asymmetry in nuclear structure analysis.

Abstract

There is a considerable interest in understanding the dependence of one-nucleon removal cross sections on the asymmetry of the neutron $S_n$ and proton $S_p$ separation energies, following a large amount of experimental data and theoretical analyses in a framework of sudden and eikonal approximations of the reaction dynamics. These theoretical calculations involve both the single-particle cross section and the shell-model description of the projectile initial state and final states of the reaction residues. The configuration mixing in shell-model description of nuclear states depends on the proximity of one-nucleon decay threshold but does it depend sensitively on $S_n - S_p$? To answer this question, we use the shell model embedded in the continuum to investigate the dependence of one-nucleon spectroscopic factors on the asymmetry of $S_n$ and $S_p$ for mirror nuclei $^{24}$Si, $^{24}$Ne and $^{28}$S, $^{28}$Mg and for a series of neon isotopes ($20 \leq A \leq 28$).