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

TL;DR

This paper investigates baryon properties and strange baryon-to-pion ratios using the EPNJL model, highlighting limitations due to Bose condensate effects and analyzing their temperature and chemical potential dependence.

Contribution

It applies the EPNJL model with Bethe-Salpeter equations to study baryon masses and ratios at finite chemical potential, revealing flavor-dependent deconfinement and diquark limitations.

Findings

Baryon melting occurs at finite chemical potential.

Strange baryon-to-pion ratios show sharp behavior along melting lines.

Bose condensate effects limit diquark-quark state descriptions.

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.