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

Details 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 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

2011-09-14

arxiv.org/abs/1109.3130v1

Physics

High Energy Physics

High Energy Physics - Phenomenology

17 pages, 2 tables, comments and suggestions welcome

Scientific paper

Three-quark nucleon interpolating fields in QCD have well-defined SU_L(3)*SU_R(3) and U_A(1) chiral transformation properties, viz. [(6,3)+(3,6)], [(3,3_bar)+(3_bar,3)], [(8,1)+(1,8)] and their "mirror" images, (PRD78, 054021, 2008). It is known (PRD81, 054002, 2010) that chiral mixing of the [(6,3)+(3,6)]multiplet with one ordinary ("naive") and one "mirror" field belonging to the [(3_bar,3)+(3,3_bar)] and [(1,8)+(8,1)] multiplets allows fitting of the isovector (g_A^3) and the flavor-singlet (isoscalar) axial coupling (g_A^0) of the nucleon. The magnetic moments of baryons are, however, difficult to incorporate into such a chiral mixing scheme. In order to reproduce the anomalous magnetic moments of baryons, we construct all SU_L(3)*SU_R(3) chirally invariant one-derivative Pauli tensor one-[(8,1)+(1,8)]-meson-baryon interactions subject to chiral mixing. It turns out that there are (strong) selection rules: for example, there is only one one-derivative chirally symmetric interaction between J=1/2 fields belonging to the [(6,3)+(3,6)] and the [(3,3_bar)+(3_bar,3)] chiral multiplets. We also study the chiral anomalous magnetic interactions of the [(3,3_bar)+(3_bar,3)] and [(8,1)+(1,8)] baryon fields. Again, there are selection rules that allow only off-diagonal and no diagonal one-derivative chiral SU_L(3)*SU_R(3) interactions of this type, that also conserve the U_A(1) symmetry. We use these interactions to calculate the F/D ratio for the anomalous magnetic moments of baryons as F/D=1/3, in close proximity to the experiment.

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