Effective contact pairing forces from realistic calculations in infinite homogeneous nuclear matter

TL;DR

This paper introduces analytical effective contact pairing forces tailored for mean-field nuclear calculations, precisely reproducing microscopic pairing gaps in infinite nuclear matter and offering a solution to BCS gap equations applicable to many-body systems.

Contribution

It presents a novel analytical form of pairing forces that exactly match microscopic pairing gaps in nuclear matter, enhancing mean-field models.

Findings

Exact reproduction of microscopic pairing gaps

Analytical solution to BCS gap equations

Applicable to various many-body systems

Abstract

Non-empirical effective contact pairing forces to be used in self-consistent mean-field calculations are presented. These pairing forces, constructed so as to reproduce exactly any given microscopic pairing gaps in infinite homogeneous nuclear matter for any isospin asymmetry, are given in analytical form. As a by-product, this work provides an analytical solution of the BCS gap equations which could be applied to describe various many-body systems.