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

TL;DR

This paper constructs and analyzes chiral invariant anomalous magnetic interactions between baryons and mesons within SU(3) symmetry, revealing strong selection rules and predicting F/D ratios close to experimental values.

Contribution

It introduces a comprehensive framework for chiral invariant anomalous magnetic interactions and identifies specific selection rules and F/D ratios consistent with experimental data.

Findings

Strong chiral selection rules restrict possible interactions.

Only one off-diagonal interaction conserves U_A(1) symmetry.

Predicted F/D ratio closely matches experimental value.

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.