Neutron Transfer Reactions for Deformed Nuclei Using Sturmian Basis

TL;DR

This paper models the spin-parity distribution of excited states in deformed nucleus $^{156}$Gd using Sturmian basis to improve understanding of neutron transfer reactions relevant for surrogate reaction techniques.

Contribution

It introduces a novel approach to model excited states in deformed nuclei using Sturmian basis expansion of spherical reaction form-factors.

Findings

Provides a method to calculate reaction cross sections for deformed nuclei.

Enhances the modeling accuracy of spin-parity distributions in neutron transfer reactions.

Supports the application of surrogate reaction techniques.

Abstract

We study the spin-parity distribution P(J$^{\pi}$,E) of $^{156}$Gd excited states above the neutron separation energy that are expected to be populated via the neutron pickup reaction $^{157}$Gd($^{3}$He,$^{4}$He)$^{156}$Gd. In general, modeling of the spin-parity distribution is important for the applicability of the surrogate reaction technique as a method of deducing reaction cross sections. We model excited states in $^{156}$Gd as rotational states built on intrinsic states consisting of a hole in the core where the hole represents neutron removal form a deformed single particle state. The reaction cross section to each excited state is calculated using standard reaction code that uses spherical reaction form-factor input. The spectroscopic factor associated with each form-factor is the expansion coefficient of the deformed neutron state in a spherical Sturmian basis consisting of the spherical reaction form-factors.