# Meson Physics in Asymmetric Matter

## TL;DR

This paper investigates the properties and phase diagram of mesons in asymmetric matter at zero temperature using Chiral Perturbation Theory, highlighting differences from previous studies and aligning with lattice results.

## Contribution

It provides new insights into meson masses, mixing, and thermodynamic properties in asymmetric matter, with detailed analysis of phase transitions and comparison to lattice calculations.

## Key findings

- Differences in meson masses and mixing in condensed phases compared to previous work.
- Calculated pressure, density, and equation of state at zero temperature and nonzero isospin chemical potential.
- Good agreement with lattice calculations for thermodynamic properties.

## Abstract

This paper describes dynamic and thermodynamic (at $T=0$) properties of mesons in asymmetric matter in the framework of Chiral Perturbation Theory. We consider a mesonic system at vanishing temperature with nonzero isospin chemical potential and strangeness chemical potential and we study their effect on the phase diagram. We also study meson masses and mixing in the resulting normal phase, pion condensation phase and kaon condensation phase. We find differences with previous papers regarding meson masses and mixing in the condensed phases; the results presented here are supported by theory group analysis and direct calculations. Pressure, density and equation of state of the system at $T=0$ and nonzero $\mu_I$ are calculated, finding remarkable agreement with analogue studies performed by lattice calculations.