The baryon coupling scheme in an unified SU(3) and SU(6) symmetry formalism

Abstract

We calculate the baryon-meson coupling constants for the spin-1/2 baryonic octet and spin-3/2 decuplet in a unified approach relying on symmetry arguments such as the fact that the Yukawa couplings, present in the Lagrangian density of the Walecka-type models, must be an invariant under SU(3) and SU(6) group transformations. The coupling constants of the baryon with the scalar $\sigma$ meson are fixed to reproduce the known potential depths for the hyperons and $\Delta$ resonances, in an approach that can be extended to all particles. We then apply the calculated coupling constants to study neutron star matter with hyperons and deltas admixed to its composition. We conclude that the ${\Delta }^{-}$ is by far the most important exotic particle that can be present in the neutron star interior. It is always present, independent of the chosen parameterization, and might appear in almost every known neutron star, once its onset happens at very low density. Yet, its presence affects the astrophysical properties of the canonical 1.4 M${}_{\odot }$ star, and, in some cases, it can even contribute to an increase in the maximum mass reached.

16 pages, 11 figures, 5 tables

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• Correlation between the symmetry energy slope and the deconfinement phase transition
• Role of local anisotropy in hybrid stars
• Non-Radial Oscillation Modes in Hybrid Stars with Hyperons and Delta Baryons
• An Undergraduate Approach to the Quantum Hadrodynamics and the Physics of Neutron Stars
• Strongly interacting matter in extreme magnetic fields
• Equation of state for hyperonic neutron-star matter in SU(3) flavor symmetry
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• Impact of hyperons on structural properties of neutron stars and hybrid stars within the regularized four-dimensional Einstein-Gauss-Bonnet gravity
• Kaon-meson coupling from SU(3) flavour symmetry and application to antikaon condensed dense matter in neutron star
• An Undergraduate Approach to the Quantum Hadrodynamics and the Physics of Neutron Stars Part II: Neutron Stars' Exotic Content