Diquarks and $\Lambda^0/\pi^+$, $\Xi^-/\pi^+$ ratios in the framework of the EPNJL model

Abstract

The applicability of the effective models to the description of baryons and the behaviour of ratios of strange baryons to pions is discussed. In the framework of the EPNJL model, the Bethe - Salpeter equation is used to find masses of baryons, which are considered as diquark-quark state. Baryon melting is discussed at a finite chemical potential and a flavor dependence of the hadronic deconfinement temperature is pointed. It is shown that the description of the diquark-quark state at finite chemical potential is limited due to the occurrence of the Bose condensate. This effect is strongly manifested in the description of light diquarks and baryons. Both $\Lambda^0/\pi^+$ and $\Xi^-/\pi^+$ ratios show a sharp behaviour as functions of $T/\mu_B$ variable, where T and $\mu_B$ are calculated along the melting lines.