Large N{sub c}, constituent quarks, and N, {Delta} charge radii

Journal Article · Wed Nov 01 00:00:00 EST 2000 · Physical Review D

DOI:https://doi.org/10.1103/PhysRevD.62.096005· OSTI ID:40205194

Buchmann, Alfons J; Lebed, Richard F

We show how one may define baryon constituent quarks in a rigorous manner, given physical assumptions that hold in the large-N{sub c} limit of QCD. This constituent picture gives rise to an operator expansion that has been used to study large-N{sub 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{sub p}{sup 2}-r{sub {Delta}{sup +}}{sup 2}=r{sub n}{sup 2}-r{sub {Delta}{sup 0}}{sup 2} to be broken only by three-body, O(1/N{sub c}{sup 2}) effects for any N{sub c}.

• Sponsoring Organization: (US)
• OSTI ID: 40205194
• Journal Information: Physical Review D, Vol. 62, Issue 9; Other Information: DOI: 10.1103/PhysRevD.62.096005; Othernumber: PRVDAQ000062000009096005000001; 032021PRD; PBD: 1 Nov 2000; ISSN 0556-2821
• Publisher: The American Physical Society
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
BARYONS
QUANTUM CHROMODYNAMICS
QUARKS