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- Title
A closer look at the Yukawa interaction from a symmetry group perspective.
- Authors
Lopes, Luiz L
- 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 α V = F /(F + D) ≠ 1, there is an additional interaction: the exchange of a ρ meson between a Λ and a Σ0 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 α V . Besides, it increases the symmetry of the theory, 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 α V as a free parameter.
- Subjects
YUKAWA interactions; SYMMETRY groups; COUPLING constants; HYPERONS; NUCLEAR matter; MESONS
- Publication
Progress of Theoretical & Experimental Physics: PTEP, 2023, Vol 2023, Issue 11, p1
- ISSN
2050-3911
- Publication type
Article
- DOI
10.1093/ptep/ptad129