Nuclear Pairing from Two-body Microscopic Forces: Analysis of the Cooper Pair Wavefunctions

TL;DR

This paper analyzes the wavefunctions of Cooper pairs in nuclear matter using realistic microscopic forces, providing insights into superfluidity and pairing mechanisms in nuclear physics.

Contribution

It introduces a detailed numerical approach to solve BCS equations and offers a preliminary analysis of Cooper pair wavefunctions with realistic interactions.

Findings

Wavefunctions of Cooper pairs are characterized in nuclear matter.

Realistic chiral nucleon-nucleon potentials are used.

Preliminary insights into pairing mechanisms in nuclear superfluidity.

Abstract

In a recent paper we studied the behavior of the pairing gaps $\Delta_F$ as a function of the Fermi momentum $k_F$ for neutron and nuclear matter in all relevant angular momentum channels where superfluidity is believed to naturally emerge. The calculations employed realistic chiral nucleon-nucleon potentials with the inclusion of three-body forces and self-energy effects. In this contribution, after a detailed description of the numerical method we employed in the solution of the BCS equations, we will show a preliminary analysis of the Cooper pair wavefunctions.