Combination of complex momentum representation and Green's function methods in relativistic mean-field theory

TL;DR

This paper introduces a novel RMF-CMR-GF approach combining complex momentum representation and Green's function methods within relativistic mean-field theory to accurately analyze halo structures in exotic nuclei.

Contribution

The paper develops a new computational approach that accurately calculates continuum states and halo phenomena without unphysical parameters or contour dependence.

Findings

Accurate continuum level densities for resonant states

Detailed analysis of wave functions and densities in $^{74}$Ca

Method independent of integral contour choice

Abstract

We have combined the complex momentum representation method with the Green's function method in the relativistic mean-field framework to establish the RMF-CMR-GF approach. This new approach is applied to study the halo structure of $^{74}$Ca. All the continuum level density of concerned resonant states are calculated accurately without introducing any unphysical parameters, and they are independent of the choice of integral contour. The important single-particle wave functions and densities for the halo phenomenon in $^{74}$Ca are discussed in detail.