Mass splittings of SU(3) baryons within a chiral soliton model

Abstract

Considering simultaneously isospin and SU(3) flavor symmetry breakings, we investigate the complete mass splittings of SU(3) baryons within a chiral soliton model, a {}"model-independent approach" being employed. In linear order several new mass relations are derived, which are mostly generalizations of existing mass formulae. The dynamical quantities appearing in the expressions for the masses are fixed by fitting them to the masses of the baryon octet and the masses of ${\Omega }^{-}$ and ${\Theta }^{+}$ as input rather than by extracting them from a calculated self-consistent soliton profile. In particular, the consideration of isospin symmetry breaking allows us to use the experimental data of the whole octet baryon masses as input. We predict the masses of the baryon decuplet and antidecuplet without any further adjustable free parameter. In addition, we also obtain the pion-nucleon sigma term which turns out to be ${\Sigma }_{\pi N}=36.4\pm 3.9\mathrm{MeV}$. We get the ratio of the current light quark masses $R=58.1\pm 1.3$. The present results indicate that the recent experimental data for the ${\Theta }^{+}(1524)$ are compatible with the experimental data of the octet and decuplet masses.

13 pages. No figure. Final version accepted for publication in Prog. Theor. Phys. arXiv admin note: substantial text overlap with arXiv:1102.1786

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Cited by in corpus (12)

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• Meson-baryon coupling constants of the SU(3) baryons with flavor SU(3) symmetry breaking
• Isospin mass differences of singly heavy baryons
• Models and Potentials in Hadron Spectroscopy
• Baryonic matter and the medium modification of the baryon masses
• Mixing effects of ${\Sigma }^0-{\Lambda }^0$ in ${\Lambda }_c^{+}$ decays
• Medium modification of singly heavy baryons in a pion-mean field approach
• New narrow nucleon resonances $N^{\ast }(1685)$ and $N^{\ast }(1726)$ within the chiral quark-soliton model