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Baryon and pseudoscalar meson octets within a unified broken SU(6) symmetry

Luiz L. Lopes*

  • *Contact author: llopes@cefetmg.br
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Phys. Rev. D 113, 023032 – Published 20 January, 2026

DOI: https://doi.org/10.1103/nmhy-7f9t

Abstract

In this work, I discuss neutron stars with hyperons and antikaon 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 antikaon interaction with the nucleus are reobtained. 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 antikaons severely compromises the stiffening of the equation of state by breaking the SU(6) symmetry.

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Phys. Rev. D 113, 023032– Published 20 January, 2026
  • Received 15 August 2025
  • Accepted 2 January 2026
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.

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