Density dependence of the quark condensate in isospin-asymmetric nuclear matter

TL;DR

This paper investigates how the quark condensate varies with density in isospin-asymmetric nuclear matter using in-medium chiral perturbation theory, revealing a significant decrease at normal nuclear density and differences between up and down quark condensates.

Contribution

It provides a detailed calculation of the density dependence of the quark condensate in asymmetric nuclear matter using a systematic chiral perturbation theory approach.

Findings

Quark condensate decreases by about 35% at normal nuclear density.

The study estimates the difference between up and down quark condensates in medium.

Results agree with previous model-independent calculations.

Abstract

We compute the density dependence of the quark condensate and how it changes under the influence of isospin-asymmetric nuclear matter. This is achieved by the calculation of the relevant Feynman diagrams using in-medium chiral perturbation theory. We find that the absolute value of the quark condensate decreases in nuclear matter by around 35% at normal nuclear density, in agreement with previous model-independent calculations. We also present an quantitative estimation of the difference of up- and down quark in-medium condensates.