论文标题

统一的SU(3)和SU(6)对称形式主义中的Baryon耦合方案

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

论文作者

Lopes, Luiz L., Marquez, Kauan D., Menezes, Débora P.

论文摘要

我们在统一的方法中计算自旋1/2八八核和旋转3/2解剖的Baryon-Meson耦合常数,这些方法依靠对称性论点,例如,Yukawa耦合是在walecka型模型的Lagrangian密度中存在的Yukawa耦合,必须在SU(SU(SU)下是SU(3)和SU(3)和6)组成(3)组(6)组成(6)。 Baryon与标量$σ$ Meson的耦合常数固定以重现超子和$δ$共振的已知潜在深度,并以一种可以扩展到所有粒子的方法。然后,我们将计算出的耦合常数用于研究中子恒星物质,并将其与其组成混合在一起。我们得出的结论是,$δ^ - $是迄今为止最重要的外来粒子,可以存在于中子星内部。它始终存在,独立于所选的参数化,并且一旦其发作以非常低的密度发生,可能几乎出现在每个已知的中子恒星中。然而,它的存在会影响规范1.4 m $ _ \ odot $ star的天体物理特性,在某些情况下,它甚至可以增加达到最大质量的增加。

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 $σ$ meson are fixed to reproduce the known potential depths for the hyperons and $Δ$ 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 $Δ^-$ 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.

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