Examining the effect of nonlocality in $(d,n)$ transfer reactions

TL;DR

This study investigates how explicitly including nonlocality affects (d,n) transfer reactions across various nuclei and energies, revealing significant differences in cross sections and emphasizing the importance of nonlocality in reaction modeling.

Contribution

It extends previous (d,p) reaction studies to (d,n) reactions, demonstrating the substantial impact of nonlocality on reaction outcomes and angular distributions.

Findings

Nonlocality significantly alters cross sections.

Effects of nonlocality are larger in (d,n) than in (d,p).

Explicit nonlocality inclusion is crucial for accurate reaction modeling.

Abstract

Background: In the last year we have been exploring the effect of the explicit inclusion of nonlocality in (d,p) reactions. Purpose: The goal of this work is to extend previous studies to (d,n) reactions, which, although similar to (d,p), have specific properties that merit inspection. Method: We apply our methods (both the distorted wave Born approximation and the adiabatic wave approximation) to $(d,n)$ reactions on $^{16}$O, $^{40}$Ca, $^{48}$Ca, $^{126}$Sn, $^{132}$Sn, and $^{208}$Pb at $20$ and $50$ MeV. Results: We look separately at the modifications introduced by nonlocality in the final bound and scattering states, as well as the consequences reflected on the differential angular distributions. The cross sections obtained when using nonlocality explicitly are significantly different than those using the local approximation, just as in (d,p). Due to the particular role of Coulomb in the bound state, often we found the effects of nonlocality to be larger in (d,n) than in (d,p). Conclusions: Our results confirm the importance of including nonlocality explicitly in deuteron induced reactions.