Real stabilization method for nuclear single particle resonances

TL;DR

This paper introduces a real stabilization method integrated with the relativistic mean field model to accurately identify and analyze single-particle neutron resonant states in spherical nuclei, validated against established techniques.

Contribution

The paper develops and applies a real stabilization method within the RMF framework for the first time to study nuclear resonances, providing a new approach for such analyses.

Findings

Accurate energies and widths of neutron resonant states in $^{120}$Sn obtained.

Results agree well with scattering phase shift and analytic continuation methods.

Demonstrates the effectiveness of the real stabilization method in nuclear physics.

Abstract

We develop the real stabilization method within the framework of the relativistic mean field (RMF) model. With the self-consistent nuclear potentials from the RMF model, the real stabilization method is used to study single-particle resonant states in spherical nuclei. As examples, the energies, widths and wave functions of low-lying neutron resonant states in $^{120}$Sn are obtained. These results are compared with those from the scattering phase shift method and the analytic continuation in the coupling constant approach and satisfactory agreements are found.