# Pion correlations in Nuclear Matter

## TL;DR

This paper investigates the effects of pion correlations on nuclear matter properties, using Bogoliubov transformations and RPA, finding no evidence of pion condensation.

## Contribution

It introduces a novel approach to include pion correlations in nuclear matter calculations and examines their impact on saturation and dispersion relations.

## Key findings

- No sign of pion condensation in the model
- Pion correlations affect the energy and dispersion relations
- Charged pion correlations are analyzed in neutron matter

## Abstract

The saturation properties of the nuclear matter taking pion correlations into account is studied. We construct a Bogoliubov transformations for the pion pair operators and calculate the energy associated with the pion pairs. The pion dispersion relation is investigated. We next study the correlation energy due to one pion exchange in nuclear matter and neutron matter at random phase approximation using the generator coordinate method. The techniques of the charged pion correlations are discussed in the neutron matter calculations. We observe that there is no sign of the pion condensation in this model.