A closer look at the Yukawa's interaction from a symmetry group perspective

Abstract

I investigate the use of the SU(3) Clebsch-Gordan coefficients in light of the relations of completeness and closure. I show that in the case of ${\alpha }_V=F/(F+D)\ne$ 1, there is an additional interaction: the exchange of a $\rho$ meson between a $\Lambda$ and a ${\Sigma }^0$ hyperon that only affects the symmetric coupling. I then calculate these additional coupling constants and show that this recovers the completeness and closure of the SU(3) Clebsch-Gordan coefficients for all values of ${\alpha }_V$. Besides, it increases the symmetry of the theory, once now we can group the baryon octet into four doublets. Finally, I add the new coupling constants to study numerical results in the hyperon onset in dense nuclear matter assuming ${\alpha }_V$ as a free parameter.

16 pages, published version

References in corpus (16)

• GW170817: Observation of Gravitational Waves from a Binary Neutron Star Inspiral
• A Massive Pulsar in a Compact Relativistic Binary
• PSR J0030+0451 Mass and Radius from NICER Data and Implications for the Properties of Neutron Star Matter
• A NICER View of PSR J0030+0451: Millisecond Pulsar Parameter Estimation
• A NICER View of the Massive Pulsar PSR J0740+6620 Informed by Radio Timing and XMM-Newton Spectroscopy
• Implications of PREX-II on the equation of state of neutron-rich matter
• Relativistic effective interaction for nuclei, giant resonances, and neutron stars
• Heavy Baryons in Compact Stars
• The Equation of State for the Nucleonic and Hyperonic Core of Neutron Stars
• Broken SU(6) symmetry and massive hybrid stars
• The baryon coupling scheme in an unified SU(3) and SU(6) symmetry formalism
• Constraining the nuclear symmetry energy and properties of neutron star from GW170817 by Bayesian analysis
• Heavy Magnetic Neutron Stars
• Examination of strangeness instabilities and effects of strange meson couplings in dense strange hadronic matter and compact stars
• Massive relativistic compact stars from SU(3) symmetric quark models
• Phase transitions and latent heat in magnetized matter

Cited by in corpus (5)

• XTE J1814-338 as a dark matter admixed neutron star
• Correlation between the symmetry energy slope and the deconfinement phase transition
• Role of local anisotropy in hybrid stars
• Equation of state for hyperonic neutron-star matter in SU(3) flavor symmetry
• An Undergraduate Approach to the Quantum Hadrodynamics and the Physics of Neutron Stars Part II: Neutron Stars' Exotic Content