Phenomenology of light- and strange-quark simultaneous production at high energies

This letter presents an extension of EPL116(2017)62001 to light- and strange-quark nonequilibrium chemical phase-space occupancy factors (\(\gamma_{q,s}\)). The resulting damped trigonometric functionalities relating \(\gamma_{q,s}\) to the nucleon-nucleon center-of-mass energies \((\sqrt{s_{NN}})\) looks very similar except different coefficients. The phenomenology of the resulting \(\gamma_{q,s}(\sqrt{s_{NN}})\) describes a rapid decrease at \(\sqrt{s_{NN}}\lesssim7~\)GeV followed by a faster increase up to \(\sim20~\)GeV. Then, both \(\gamma_{q,s}\) become nonsensitive to \(\sqrt{s_{NN}}\). Although these differ from \(\gamma_{s}(\sqrt{s_{NN}})\) obtained at \(\gamma_q(\sqrt{s_{NN}})=1\), various particle ratios including \(\mathrm{K}^+/\pi^+\), \(\mathrm{K}^-/\pi^-\), \(\mathrm{\Lambda}/\pi^-\), \(\bar{\mathrm{\Lambda}}/\pi^-\), \(\mathrm{\Xi}^+/\pi^+\), and \(\mathrm{\Omega}/\pi^-\), can well be reproduced, as well. We conclude that \(\gamma_{q,s}(\sqrt{s_{NN}})\) should be instead determined from fits of various particle yields and ratios but not merely from fits to the particle ratio \(\mathrm{K}^+/\pi^+\).