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Electromagnetic Multipole Moments of Baryons

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Abstract

We calculate the charge quadrupole and magnetic octupole moments of baryons using a group theoretical approach based on broken SU(6) spin-flavor symmetry. The latter is an approximate symmetry of the QCD Lagrangian which becomes exact in the large color \(N_c\) limit. Spin-flavor symmetry breaking is induced by one-, two-, and three-quark terms in the electromagnetic current operator. Two- and three-quark currents provide the leading contributions for higher multipole moments, despite being of higher order in an \(1/N_c\) expansion. Our formalism leads to relations between \(N \rightarrow N^*\) transition multipole moments and nucleon ground state properties. We compare our results to experimental quadrupole and octupole transition moments extracted from measured helicity amplitudes.

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  1. Institute for Theoretical Physics, University of Tuebingen, Auf der Morgenstelle 14, 72076, Tuebingen, Germany

    Alfons J. Buchmann

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Correspondence to Alfons J. Buchmann.

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This article belongs to the Topical Collection “NSTAR 2017—The International Workshop on the Physics of Excited Nucleons”.

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Buchmann, A.J. Electromagnetic Multipole Moments of Baryons. Few-Body Syst 59, 145 (2018). https://doi.org/10.1007/s00601-018-1464-x

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