Chiral Lagrangian for baryons in the 1/{ital N}{sub {ital c}} expansion

Journal Article · Fri Mar 01 04:00:00 EST 1996 · Physical Review, D

DOI:https://doi.org/10.1103/PhysRevD.53.2625· OSTI ID:279182

Jenkins, E ^[1]

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1. Department of Physics, University of California at San Diego, La Jolla, California 92093 (United States)

A 1/{ital N}{sub {ital c}} expansion of the chiral Lagrangian for baryons is formulated and used to study the low-energy dynamics of baryons interacting with the pion nonet {pi}, {ital K}, {eta}, and {eta}{sup {prime}} in a combined expansion in chiral symmetry breaking and 1/{ital N}{sub {ital c}}. Strong {ital CP} violation is included. The chiral Lagrangian correctly implements nonet symmetry and contracted spin-flavor symmetry for baryons in the large {ital N}{sub {ital c}} limit. The implications of nonet symmetry for low-energy baryon-pion interactions are described in detail. The procedure for calculating nonanalytic pion-loop corrections to baryon amplitudes in the 1/{ital N}{sub {ital c}} expansion for finite {ital N}{sub {ital c}} is explained. Flavor-{bold 27} baryon mass splittings are calculated at leading order in chiral perturbation theory as an example. {copyright} {ital 1996 The American Physical Society.}

• Research Organization: University of California
• DOE Contract Number: FG03-90ER40546
• OSTI ID: 279182
• Journal Information: Physical Review, D, Journal Name: Physical Review, D Journal Issue: 5 Vol. 53; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
BARYONS
CHIRAL SYMMETRY
EXPANSION
LAGRANGIAN FUNCTION
MASS DIFFERENCE
PERTURBATION THEORY
PIONS
SYMMETRY BREAKING