An Almost-Entirely Precise Empirical Estimation for Various Chemical Potentials

The transverse momentum spectra of the well-identified produced particles, $\pi^+$, $\pi^-$, $K^+$, $K^-$, $p$, $\bar{p}$, $K_s^0$, $\Lambda$, $\bar{\Lambda}$, $\Xi^-$, and $\Xi^+$ are analyzed in a statistical approach. From partition function grand-canonical ensemble, we propose generic expression for dependence chemical potential $\mu$ on rapidity $y$. Then, by fitting this to experimental results most central $p_{\perp}$ $d^2 N/2 \pi p_{\bot} dp_{\bot} dy$, at energies ranging from $7.7$ $200~$GeV, have introduced $\mu$, different energies, namely $\mu=a+b y^2$, where $a$ $b$ is constants. We find that resulting energy $\sqrt{s_{\mathtt{NN}}}=c[(\mu-a)/b]^{d/2}$ agrees well with thermal models. also present precise estimations various types potentials, $\mu_B$, $\mu_S$, $\mu_Q$, baryon, strangeness, charge potential, respectively.