# Skewness of nuclear matter and three-particle correlations

## TL;DR

This paper investigates the skewness of nuclear matter using Landau-Migdal theory, deriving relations involving effective mass and interaction parameters, highlighting the significance of three-particle correlations.

## Contribution

It provides an exact relation between skewness, nucleon effective mass, and multi-particle interaction parameters within nuclear matter theory.

## Key findings

- Three-particle correlations significantly influence the skewness.
- Derived an exact relation linking skewness to effective mass and interactions.
- Qualitative estimates suggest the importance of three-particle effects.

## Abstract

We present a study of the skewness of nuclear matter, which is proportional to the third derivative of the energy per nucleon with respect to the baryon density at the saturation point, in the framework of the Landau-Migdal theory. We derive an exact relation between the skewness, the nucleon effective mass, and two-particle and three-particle interaction parameters. We also present qualitative estimates, which indicate that three-particle correlations play an important role for the skewness.