Almost Entirely Empirical Estimation for Chemical Potential

Abstract

Based on statistical thermal approaches, the transverse momentum distribution of the well-identified produced particles, pi(+), pi(-), K+, K-, p, and , is studied. We aim at introducing a novel almost entirely empirical estimation for the inclusive chemical potential mu. From the partition function of a grand-canonical ensemble, we propose a generic expression for the dependence of mu on the rapidity y. Then, by fitting this expression with the experimental results of the most central p(perpendicular to) and d(2)N/2 pi p(perpendicular to)dp(perpendicular to)dy, at 7.7, 11.5, 19.6, 27, 39, 130, 200 GeV, we introduce a generic expression for the rapidity dependence of for all particle yields, at different energies, mu = a + by(2). The resulting energy dependence reads root s(NN) = c[(mu - a)/b](d/2). As a validation test, we show that the proposed approach reproduces excellently the rapidity spectra of various particle yields measured, at different energies.