Gamow Shell Model description of ${ { }^{ 40 } }$Ca(d,p) transfer reaction

TL;DR

This paper extends the Gamow Shell Model to describe transfer reactions in medium nuclei, specifically analyzing the ${ }^{40}$Ca(d,p) reaction, successfully reproducing experimental data with a phenomenological Hamiltonian.

Contribution

It introduces the GSM-CC approach for transfer reactions in medium nuclei, bridging structure and reaction theories more comprehensively.

Findings

Successfully reproduces experimental transfer reaction data

Extends GSM-CC to medium-mass nuclei

Uses phenomenological Hamiltonian for modeling

Abstract

Transfer reactions are essential to determine spectroscopic factors and astrophysical reaction rates. However, their theoretical evaluation is typically effected using standard reaction theory, from which structure degrees of freedom are absent. While reaction cross sections have been implemented in the frame of the no-core shell model with continuum, this model can be applied in practice only to the lightest nuclei. The use of the core + valence nucleon picture is then necessary to include inter-nucleon correlations in reaction cross sections involving medium nuclei. For this, we will use the recently developed coupled-channel Gamow Shell Model (GSM-CC) for direct reactions and extend it to the evaluation of transfer cross sections. As an example, we will study the ${ { }^{ 40 } }$Ca(d,p) transfer reaction with GSM-CC. Experimental data can be successfully reproduced, but at the price of the use of a very phenomenological Hamiltonian.