Dynamical Fluctuations in Baryon--Meson Ratios

The event-by-event dynamical fluctuations in kaon-to-proton and proton-to-pion ratios have been studied in dependence on center–of–mass energies of nucleon–nucleon collisions $\sqrt{s}$. Based on changing phase space volume which apparently is the consequence of phase transition from hadrons to quark–gluon plasma at large $\sqrt{s}$, the single–particle distribution function $f$ is assumed to be rather modified. Varying $f$ and phase space volume are implemented in the grand–canonical partition function, especially at $\sqrt{s}>17$ GeV, so that hadron resonance gas model, when taking into account the experimental acceptance $\mathcal{A}$ and quark phase space occupation factor $\gamma$, turns to be able to reproduce the dynamical fluctuations in $(K^{+}+K^{-})\mathrm{/}(p+\bar{p})$ and $(p+\bar{p})\mathrm{/}({\pi }^{+}+{\pi }^{-})$ ratios over the entire range of $\sqrt{s}$.