# Strangeness chemical potential from the baryons relative to the kaons particle ratios

## TL;DR

This paper proposes a new method to determine the strange-quark chemical potential from baryon and kaon ratios, revealing it is generally one-fifth of the baryon chemical potential and providing insights into strangeness enhancement at different collision energies.

## Contribution

It introduces an alternative approach to estimate the strange-quark chemical potential using antibaryon-to-baryon and kaon ratios, aligning with statistical-thermal models.

## Key findings

- $ extmu_s$ is approximately one-fifth of $ extmu_b$.
- A new quantity depending on $ extmu_b$ and temperature $T$ improves strangeness conservation.
- Particle ratios at freezeout agree with thermal model calculations.

## Abstract

From a systematic analysis of the energy-dependence of four antibaryon-to-baryon ratios relative to the antikaon-to-kaon ratio, we propose an alternative approach determining the strange-quark chemical potential ($\mu_{\mathrm{s}}$). It is found that $\mu_{\mathrm{s}}$ generically genuinely equals one-fifth the baryon chemical potential ($\mu_{\mathrm{b}}$). An additional quantity depending on $\mu_{\mathrm{b}}$ and the freezeout temperature ($T$) should be added in order to assure averaged strangeness conversation. This quantity gives a genuine estimation for the possible strangeness enhancement with the increase in the collision energy. At the chemical freezeout conditioned to constant entropy density normalized to temperature cubed, various particle ratios calculated at $T$ and $\mu_{\mathrm{b}}$ and the resultant $\mu_{\mathrm{s}}$ excellently agree with the statistical-thermal calculations.