Baryon Number Fluctuations in Two Flavor NJL Model

Abstract

Baryon number fluctuations are believed to be good signatures of the QCD phase transition and its CP. Since the fluctuations are proportional to the various order baryon-number susceptibilities and the quark-number density is related to the dressed quark propagator, then by the two flavor NJL model we can calculate the moments of the up and down quarks. By comparing the two flavor NJL model results with the experimental data of $S\sigma$ and $\kappa\sigma^2$ for the net-proton distributions of Au+Au collisions by STAR, we found that the NJL results fit the experiments better at large collision energies and show an obvious fluctuation at small energies. And this fluctuation reflect that the two flavor NJL model is sensitive to the parameters of temperature $T$ and quark chemical potential $\mu$ at small collision energies.