Large Nc, constituent quarks, and N, Δ charge radii

Alfons J. Buchmann; Richard F. Lebed

doi:10.1103/PhysRevD.62.096005

Large N_c, constituent quarks, and N, Δ charge radii

Alfons J. Buchmann, Richard F. Lebed

Research output: Contribution to journal › Article › peer-review

47 Scopus citations

Abstract

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 Δ states, using minimal dynamical assumptions. For example, one finds the relation r_p²-r_Δ+²=r_n ²-r_Δ0² to be broken only by three-body, O(1/N_c²) effects for any N_c.

Original language	English (US)
Article number	096005
Pages (from-to)	1-7
Number of pages	7
Journal	Physical Review D - Particles, Fields, Gravitation and Cosmology
Volume	62
Issue number	9
DOIs	https://doi.org/10.1103/PhysRevD.62.096005
State	Published - Nov 1 2000
Externally published	Yes

ASJC Scopus subject areas

Physics and Astronomy (miscellaneous)

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10.1103/PhysRevD.62.096005

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AB - We show how one may define baryon constituent quarks in a rigorous manner, given physical assumptions that hold in the large-Nc limit of QCD. This constituent picture gives rise to an operator expansion that has been used to study large-Nc baryon observables; here we apply it to the case of charge radii of the N and Δ states, using minimal dynamical assumptions. For example, one finds the relation rp2-rΔ+2=rn 2-rΔ02 to be broken only by three-body, O(1/Nc2) effects for any Nc.

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Large N_c, constituent quarks, and N, Δ charge radii

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