# Pairing in Nuclear Matter and Finite Nuclei

## TL;DR

This paper investigates the effects of isospin pairing in nuclear matter and finite nuclei using a realistic interaction, highlighting the suppression of certain pairing types and discussing their experimental detectability.

## Contribution

It introduces a model that connects infinite nuclear matter with finite nuclei, emphasizing the development of the spin-orbit term and its impact on pairing phenomena.

## Key findings

- Spin-orbit term suppresses T=0 proton-neutron pairing in finite nuclei.
- No clear evidence of T=0 pairing in nuclear binding energies.
- Model successfully describes transition from nuclear matter to finite nuclei.

## Abstract

Effects of pairing with isospin $T=0$ and $T=1$ are systematically studied in a model, which is based on a realistic nucleon-nucleon interaction and allows to describe the transition from infinite nuclear matter to finite nuclei. Special attention is paid to the development of the spin-orbit term in the mean field of nucleons in finite nuclei. The spin-orbit term yields a drastic suppression of $T=0$ proton-neutron pairing but does not lead to a complete disappearance in finite nuclei. Arguments are presented, why no clear evidence of $T=0$ pairing can be observed in the binding energies of finite nuclei.