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Baryons with U_L(3)*U_R(3) Chiral Symmetry IV: Interactions with Chiral (8,1)+(1,8) Vector and Axial-vector Mesons and Anomalous Magnetic Moments

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abstract

We construct all SU_L(3)*SU_R(3) chirally invariant anomalous magnetic, i.e. involving a Pauli tensor and one-derivative, interactions of one chiral-[(8,1)+(1,8)] meson field with chiral-[(6,3)+(3,6)], [(3,\bar3)+(\bar3,3)], and [(8,1)+(1,8)] baryon fields and their "mirror" images. We find strong chiral selection rules: e.g. there is only one off-diagonal chirally symmetric anomalous magnetic interaction between J=1/2 fields belonging to the [(6,3)+(3,6)] and the [(3,\bar3)+(\bar3,3)] chiral multiplets. We also study the chiral selection rules for the anomalous magnetic interactions of the [(3,\bar3)+(\bar3,3)] and the [(8,1)+(1,8)] baryon fields. Again, no diagonal and only one off-diagonal chiral SU_L(3)*SU_R(3) interaction of this type is allowed, that turns out also to conserve the U_A(1) symmetry. We calculate the F/D ratios for the baryons' anomalous magnetic moments predicted by these interactions in the SU(3) symmetry limit and find that only the [(6,3)+(3,6)]-[(3,\bar3)+(\bar3,3)] one, reproduces F/D=1/3, in close proximity to the value extracted from experiment.

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hep-ph 1

years

2025 1

verdicts

CONDITIONAL 1

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Hadrons in group expansion

hep-ph · 2025-06-02 · conditional · novelty 4.0

Ground-state baryon masses are parametrized by mixing SU(4) flavor representations, with estimated Sigma_c being 72% 20M and 28% 20S, and Xi_c being 90% anti-triplet and 10% sextet.

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  • Hadrons in group expansion hep-ph · 2025-06-02 · conditional · none · ref 100 · internal anchor

    Ground-state baryon masses are parametrized by mixing SU(4) flavor representations, with estimated Sigma_c being 72% 20M and 28% 20S, and Xi_c being 90% anti-triplet and 10% sextet.