$S$-matrix calculation of $BQ$ correlation at finite baryon density

TL;DR

This paper computes the baryon number-electric charge susceptibility at finite baryon density using an S-matrix approach within a hadron gas model, revealing significant increases with chemical potential and analyzing its evolution in a cooling fireball.

Contribution

It introduces an S-matrix formalism to evaluate susceptibilities at finite baryon density, incorporating pion-nucleon interactions in a hadron gas model.

Findings

Susceptibility increases significantly with chemical potential.

Results along the chemical freeze-out line show notable variations.

Evolution of susceptibility in a cooling fireball is characterized.

Abstract

We calculate the baryon number--electric charge susceptibility at non-vanishing baryo-chemical potential within the model of hadron gas where pion-nucleon interaction is accounted for by the $S$-matrix formalism. The susceptibility is largely increased when the chemical potential grows within a phenomenologically relevant interval. The results are then evaluated along the chemical freeze-out line. We also calculate the evolution of the susceptibility in a cooling fireball by making use of the Partial Chemical Equilibrium model.