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Large-Ncrelations for the electromagnetic nucleon-to-Δform factors

2007/11/01 by Vladimir Pascalutsa, Marc Vanderhaeghen · 3 citations
Physics and Astronomy · #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ph

paper · pdf · doi:10.1103/physrevd.76.111501

published as Phys.Rev.D76:111501,2007 · 4 pages, 1 figure; to appear in PRD, Rapid Communications

arxiv created 2007/11/01 · openalex publication_date 2007/12/06 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We examine the large-Nc relations which express the electromagnetic N-to-\ensuremathΔ transition quantities in terms of the electromagnetic properties of the nucleon. These relations are based on the known large-Nc relation between the N\ensuremath→\ensuremathΔ electric quadrupole moment and the neutron charge radius, and a newly derived large-Nc relation between the electric quadrupole (E2) and Coulomb quadrupole (C2) transitions. Extending these relations to finite, but small, momentum transfer, we find that the description of the electromagnetic N\ensuremath→\ensuremathΔ ratios (REM and RSM) in terms of the nucleon form factors predicts a structure which may be ascribed to the effect of the ``pion cloud.'' These relations also provide useful constraints for the N\ensuremath→\ensuremathΔ generalized parton distributions.

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