Binding-energy independence of reduced single particle strengths derived from $(p,d)$ reactions

TL;DR

This study introduces an overall reduction factor (ORF) to analyze single particle strength quenching in nucleon transfer reactions, revealing its independence from nuclear isospin asymmetry across various targets and reactions.

Contribution

It presents a systematic analysis of the ORF in $(p,d)$ reactions using a consistent three-body model, showing its independence from isospin asymmetry, contrasting with previous knockout reaction systematics.

Findings

ORF is nearly independent of isospin asymmetry.

Consistent with recent measurements and ab initio calculations.

Contrasts with systematics of inclusive knockout reactions.

Abstract

An overall reduction factor (ORF) is introduced for studying the quenching of single particle strengths through nucleon transfer reactions. The ORF includes contributions of all the probed bound states of the residual nucleus in a transfer reaction and permits a proper comparison with results of inclusive knockout reactions. A systematic analysis is made with 103 sets of angular distribution data of $(p,d)$ reactions on 21 even-even targets with atomic mass numbers from 8 to 56 using the consistent three-body model reaction methodology proposed in [J. Lee, J.A. Tostevin, B.A. Brown, et al., Phys. Rev. C 73, 044608 (2006)]. The extracted ORFs are found to be nearly independent on the nuclear isospin asymmetry, which is different from the systematics of inclusive knockout reactions but is consistent with the recent measurement of $(d,t)$, $(d,3He)$, $(p,2p)$, and $(p,pn)$ reactions on nitrogen and oxygen isotopes and \textit{ab initio} calculations.