Microscopic calculation and LDA of the spatial dependence of the pairing field with bare and induced interactions

TL;DR

This paper combines microscopic calculations with a Local Density Approximation to analyze the spatial dependence of the nuclear pairing field, emphasizing the roles of bare and induced interactions near the Fermi surface.

Contribution

It introduces a novel approach using LDA with a contact interaction to accurately reproduce the spatial profile of the nuclear pairing field, differing from traditional phenomenological models.

Findings

Pairing field peaks at the nuclear surface

LDA with contact interaction reproduces detailed spatial dependence

Parameters differ from conventional phenomenological approaches

Abstract

The bare nucleon-nucleon interaction is essential for the production of pair correlations in nuclei, but an important contribution also arises from the induced interaction resulting from the exchange of collective vibrations between nucleons moving in time reversal states close to the Fermi energy. The pairing field resulting from the summed interaction is strongly peaked at the nuclear surface. It is possible to reproduce the detailed spatial dependence of this field using a Local Density Approximation (LDA) and a contact interaction, with parameters which are quite different from those commonly used in more phenomenological approaches.