Solving the two-center nuclear shell-model problem with arbitrarily-orientated deformed potentials

TL;DR

This paper introduces a new method to solve the two-center nuclear shell-model problem with arbitrarily-oriented deformed potentials, demonstrating its effectiveness through molecular spectra calculations for carbon-12 fusion.

Contribution

The paper presents a novel potential separable expansion technique for arbitrary orientation in two-center problems with realistic deformed potentials.

Findings

Non-axial symmetric configurations are crucial in molecular resonances.

Calculated spectra for $^{12}$C + $^{12}$C show the importance of non-axial deformations.

Method effectively captures complex nuclear configurations.

Abstract

A general new technique to solve the two-center problem with arbitrarily-orientated deformed realistic potentials is demonstrated, which is based on the powerful potential separable expansion method. As an example, molecular single-particle spectra for $^{12}$C + $^{12}$C $\to$ $^{24}$Mg are calculated using deformed Woods-Saxon potentials. These clearly show that non-axial symmetric configurations play a crucial role in molecular resonances observed in reaction processes for this system at low energy.