Baryon and Pseudoscalar Meson Octets within a Unified broken SU(6) symmetry

TL;DR

This paper explores hyperons and anti-kaon condensates in neutron stars using a unified SU(6) symmetry scheme to determine coupling constants, revealing impacts on the equation of state and meson interactions.

Contribution

It introduces a unified SU(6) symmetry approach to fixing coupling constants in neutron star models with hyperons and anti-kaons, connecting symmetry principles with physical interactions.

Findings

Anti-kaons significantly soften the equation of state.

SU(6) symmetry influences meson roles in kaon condensation.

Reproduction of expected kaon-nucleus interaction results.

Abstract

In this work, I discuss neutron stars with hyperons and anti-kaon condensate. To fix their coupling constants with the vector mesons of the Quantum Hadrodynamics, I use a unified scheme imposing that the Yukawa coupling is an invariant under SU(3) and SU(6) groups. Combining with the G-Parity, I show that some expected results of the kaon and anti-kaon interaction with the nucleus are re-obtained. In the same sense, the naive quark-isospin counting rule is restored in the SU(6) limit. Furthermore, the G-Parity combined with the SU(3) gives us a clear picture of the role played by each meson in the kaon condensation. Numerical results show that the presence of anti-kaons severely compromises the stiffening of the EOS by breaking the SU(6) symmetry.