Spherical-box approach for resonances in presence of Coulomb interaction

TL;DR

This paper extends the spherical-box approach to accurately compute resonance parameters for single particle states in potentials with Coulomb interactions, demonstrating high precision especially for narrow resonances.

Contribution

The paper introduces an extension of the spherical-box method to include Coulomb interactions, improving accuracy in resonance calculations for such systems.

Findings

Works well for not so broad resonances with Coulomb interaction.

Achieves very high precision for very narrow resonances.

Validated against other methods with comparable results.

Abstract

The spherical-box approach is extended to calculate the resonance parameters and the real part of the wave function for single particle resonances in a potential containing the long-range Coulomb interaction. A model potential is taken to demonstrate the ability and accuracy of this approach. The calculated resonance parameters are compared with available results from other methods. It is shown that in the presence of the Coulomb interaction, the spherical-box approach works well for not so broad resonances. In particular, for very narrow resonances, the present method gives resonance parameters in a very high precision.