Isospin-symmetry implications for nuclear two-body distributions and short-range correlations

TL;DR

This paper explores how isospin symmetry influences two-body distributions and short-range correlations in nuclei, deriving relations and verifying them through quantum Monte Carlo calculations, with implications for nuclear decay and spectator nucleons.

Contribution

It introduces new relations between nuclear densities and momentum distributions based on isospin symmetry, verified by numerical calculations, enhancing understanding of nuclear short-range correlations.

Findings

Derived relations between two-body densities and momentum distributions.

Verified relations through quantum Monte Carlo simulations.

Showed isospin symmetry's role in extracting spectator nucleon information.

Abstract

We study the implications of isospin symmetry in nuclear systems on two-body distributions and derive relations between different densities or momentum distributions of a given nucleus or of different nuclei in the same isospin multiplet. A connection between neutrinoless double beta decay transition of mirror nuclei and two-body densities is also obtained. The relations are numerically verified by means of quantum Monte Carlo calculations. We discuss the relevance of these results to the analysis of nuclear short-range correlations and also show that isospin symmetry allows us to extract information about the spectator nucleons when a short-range correlated pair is formed.