Baryon Mass Splitting by the Strong Hyperfine Interaction and SU(3) Breaking

Jan, 1978
11 pages
Published in:
  • Nucl.Phys.B 139 (1978) 422-432
  • Published: 1978
Report number:
  • HD-THEP-78-1

Citations per year

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Abstract: (Elsevier)
We calculate mass splittings of strange and non-strange baryons in the [56, 0 + ] and the [70, 1 − ]. As the most important spin-dependent force we only analyse the hyperfine interaction. The exact treatment of the quark mass breaking shows contributions which have not been considered in similar investigations up to now. Taking mλ m p ≅ 2 and popular values for the slope of the linear potential a , the strong coupling constant α s and the p-quark mass, we get excellent results for the four mass splittings 〈Σ-Λ〉, 〈Σ ∗ − Σ〉 , 〈Δ-N〉 and 〈Ξ ∗ − Ξ〉 in the [56, 0 + ]. The structure of mass spectrum in the [70, 1 − ] is well described, too; the strong SU(3) mixing of Σ and Λ states is seen to be due to the quark mass breaking. Predictions for missing Σ states in the [70, 1 − ] as as for splittings between charmed baryons can be made.
  • SYMMETRY BREAKING: SU(3)
  • STRONG INTERACTION: HYPERFINE STRUCTURE
  • BARYON: MULTIPLET
  • MULTIPLET: BARYON
  • BARYON: STRANGE PARTICLE
  • BARYON: NONSTRANGE
  • BARYON: MASS SPECTRUM
  • QUARK: MASS
  • MASS: QUARK
  • STRONG INTERACTION: COUPLING CONSTANT