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

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 to be in a diquark-quark state. Baryon melting is discussed at a finite chemical potential, and a flavor dependence of the hadronic deconfinement temperature is pointed out. It is shown that the description of the diquark-quark state at finite chemical potential is limited due to the occurrence of Bose condensate. This effect is strongly manifested in the description of light diquarks and baryons. Both the ${\mathrm{\Lambda }}^0/{\pi }^{+}$ and ${\mathrm{\Xi }}^{-}/{\pi }^{+}$ ratios show a sharp behaviour as functions of the $T/{\mu }_B$ variable, where T and ${\mu }_B$ are calculated along the melting lines.