Role of the Chiral Phase Transition in Modelling the Kaon-to-Pion Ratio

Abstract

A sharp peak in the K + /π + ratio in relativistic heavy-ion collision is discussed in the framework of the SU(3) Polyakov-loop extended NJL model with vector interaction. In the model, the K + /π + ratio was calculated along the chiral phase transition line for different values of the vector coupling gV . We showed that the value of the vector coupling had no significant effect on the K + /π + behaviour.

Diquarks and Λ0/π+, Ξ−/π+ Ratios in the Framework of the EPNJL Model

“…In previous works [1][2][3], a detailed study of K/π ratios was carried out in the framework of PNJL-like models. As the collision energy √ s NN never appears in effective models, a trick with fitting √ s NN with the pair (T, µ B ) from the statistical model was used.…”

“…In this work, we use the standard polynomial form of the effective potential [4,15]. The effect of the vector interaction on the position of the critical end point in the phase diagram and on the behaviour of the peak in the K + /π + ratio was discussed in previous works [1][2][3][4].…”

“…In our previous works [1][2][3][4], the peak-like structure in a K + /π + ratio was discussed in the framework of the Polyakov loop extended Nambu-Jona-Lasinio model (PNJL) as well as its modifications, including the vector interaction. The interest in this structure is due to the search for signals of a phase transition from the hadron phase to the quark-gluon plasma (QGP) formation during a heavy ion collision [5,6].…”