Perturbative correction to the adiabatic approximation for $(d,p)$ reactions

TL;DR

This paper quantifies a perturbative correction to the adiabatic distorted wave approximation (ADWA) used in analyzing deuteron stripping reactions, improving the accuracy of reaction mechanism modeling.

Contribution

It introduces a numerical evaluation of a recently proposed perturbative correction to ADWA, involving a nonlocal potential term, and tests its effectiveness against exact breakup models.

Findings

Perturbative correction improves ADWA accuracy.

Nonlocal potential term significantly affects reaction calculations.

Validation against exact models confirms correction's validity.

Abstract

The adiabatic distorted wave approximation (ADWA) is widely used by the nuclear community to analyse deuteron stripping ($d$,$p$) experiments. It provides a quick way to take into account an important property of the reaction mechanism: deuteron breakup. In this work we provide a numerical quantification of a perturbative correction to this theory, recently proposed in [R.C. Johnson, J. Phys. G: Nucl. Part. Phys. 41 (2014) 094005] for separable rank-one nucleon-proton potentials. The correction involves an additional, nonlocal, term in the effective deuteron-target ADWA potential in the entrance channel. We test the calculations with perturbative corrections against continuum-discretized coupled channel predictions which treat deuteron breakup exactly.