Large N_c, Constituent Quarks, and N, Delta Charge Radii

Details Large N_c, Constituent Quarks, and N, Delta Charge Radii Large N_c, Constituent Quarks, and N, Delta Charge Radii

2000-03-16

arxiv.org/abs/hep-ph/0003167v2

Phys.Rev.D62:096005,2000

Physics

High Energy Physics

High Energy Physics - Phenomenology

15 pages, 1 eps figure. Version to appear in Phys. Rev. D

Scientific paper

10.1103/PhysRevD.62.096005

We show how one may define baryon constituent quarks in a rigorous manner, given physical assumptions that hold in the large-N_c limit of QCD. This constituent picture gives rise to an operator expansion that has been used to study large-N_c baryon observables; here we apply it to the case of charge radii of the N and Delta states, using minimal dynamical assumptions. For example, one finds the relation r_p^2 - r_{Delta^+}^2 = r_n^2 - r_{Delta^0}^2 to be broken only by three-body, O(1/N_c^2) effects for any N_c.

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