Baryons as solitons in the effective Lagrangian of spontaneously broken chiral symmetry

Journal Article · Mon Jul 01 04:00:00 EDT 1985 · Phys. Rev. Lett.; (United States)

DOI:https://doi.org/10.1103/PhysRevLett.55.21· OSTI ID:5600200

Chan, L

I present the calculation of the effective Lagrangian from the sigma quark model based on some reasonable assumptions of the spontaneously broken chiral symmetry, the large-N/sub c/ limit, and the nature of the effective action expansion. In addition to the Skyrme Lagrangian with a unique coupling constant e = ..pi..(2(3/N/sub c/))/sup 1/2/ and the Wess-Zumino term, it contains an extra new term (N/sub c//96..pi../sup 2/) Tr (partial/sub ..mu../L/sup ..mu../)/sup 2/ which must be treated as a perturbative correction. This new term is responsible for the correct pion form factor corresponding to m/sub rho//sup 2/ = 8..pi../sup 2/f/sub ..pi..//sup 2/(3/N/sub c/ ). This model can be used to describe the rich low-energy dynamics of baryons and mesons with the unique mass scale f/sub ..pi../.

• Research Organization: Department of Physics and Astronomy, Louisiana State University, Baton Rouge, Louisiana 70803
• OSTI ID: 5600200
• Journal Information: Phys. Rev. Lett.; (United States), Journal Name: Phys. Rev. Lett.; (United States) Vol. 55:1; ISSN PRLTA
• Country of Publication: United States
• Language: English

Related Subjects

645301* -- High Energy Physics-- Particle Invariance Principles & Symmetries-- General-- (-1987)
645400 -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BARYONS
BOSONS
CHIRAL SYMMETRY
COMPOSITE MODELS
COUPLING CONSTANTS
ELEMENTARY PARTICLES
FERMIONS
FIELD THEORIES
FORM FACTORS
FUNCTIONS
GREEN FUNCTION
HADRONS
LAGRANGIAN FUNCTION
LIE GROUPS
MATHEMATICAL MODELS
MESONS
PARTICLE MODELS
PARTICLE PROPERTIES
PERTURBATION THEORY
PIONS
PSEUDOSCALAR MESONS
QUANTUM CHROMODYNAMICS
QUANTUM FIELD THEORY
QUARK MODEL
QUASI PARTICLES
SIGMA MODEL
SOLITONS
SU GROUPS
SU-2 GROUPS
SU-3 GROUPS
SYMMETRY
SYMMETRY BREAKING
SYMMETRY GROUPS