# Equation of state at finite densities for QCD matter in nuclear collisions

## TL;DR

This paper develops a QCD equation of state at finite densities incorporating conserved charges, crucial for modeling heavy ion collisions, by combining lattice QCD data with the hadron resonance gas model.

## Contribution

It introduces a comprehensive QCD equation of state at finite chemical potentials considering multiple conserved charges, tailored for relativistic heavy ion collision applications.

## Key findings

- Finite electric charge and strangeness chemical potentials significantly affect particle production.
- Hydrodynamic simulations demonstrate the impact of these chemical potentials on collision outcomes.
- The model aligns with conditions of strangeness neutrality and fixed charge-to-baryon ratios in nuclei.

## Abstract

We construct the QCD equation of state at finite chemical potentials including net baryon, electric charge, and strangeness, based on the conserved charge susceptibilities determined from lattice QCD simulations and the equation of state of the hadron resonance gas model. For the application to relativistic heavy ion collisions we consider the situation of strangeness neutrality and matter with a fixed electric charge-to-baryon ratio, resembling that of heavy nuclei. The importance of finite electric charge and strangeness chemical potentials for particle production in heavy ion collisions is demonstrated using hydrodynamic simulations.