(3,3*) direct-sum (3*,3) direct-sum (6,6*) direct-sum (6*,6) and linear and bilinear (3, 3*) direct-sum (3*,3) chiral-symmetry breaking in a linear sigma model

Journal Article · Thu Jan 01 04:00:00 EST 1976 · Phys. Rev., D, v. 13, no. 1, pp. 56-69

OSTI ID:4054333

Geddes, H B; Graham, R H

Two chiral symmetry-breaking schemes are considered within the context of a linear SU(3) sigma model. In the first the symmetry-breaking terms are constructed from the usual linear (in the fields) (3, 3*) direct-sum (3*,3) contribution together with bilinear combinations belonging to the (6, 6*) direct- sum (6*,6) representation of SU(3) x SU(3). In the second scheme a combination of linear and bilinear (3, 3*) direct-sum (3*,3) terms is employed. The pseudoscalar mesons ($pi$,K,eta,eta') and scalar mesons (epsilon,kappa,sigma,sigma') are assigned to the (3, 3*) direct-sum (3*,3) representation in this model which is used to describe their mass spectra, various scalar meson decays, eta' $Yields$ eta$pi$$pi$, and the $pi$$pi$ and $pi$K scattering lengths. With the addition of isospin-violating terms to the Lagrangian additional, electromagnetic effects can be taken into account. In each of the symmetry-breaking schemes considered it is found that a two-parameter form in which the linear (3, 3*) direct-sum (3*,3) contribution is SU(2) x SU(2) -invariant and the bilinear contribution is SU(3) invariant is about as successful as the usual two-parameter linear (3, 3*) direct-sum (3*,3) form. (AIP)

• Research Organization: Department of Physics, University of Toronto, Toronto, Ontario, Canada M5S 1A7
• NSA Number: NSA-33-024601
• OSTI ID: 4054333
• Journal Information: Phys. Rev., D, v. 13, no. 1, pp. 56-69, Journal Name: Phys. Rev., D, v. 13, no. 1, pp. 56-69; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

*CHIRAL SYMMETRY-- SYMMETRY BREAKING
*SIGMA MODEL-- SYMMETRY BREAKING
641201*
DECAY
LAGRANGIAN FUNCTION
N64310* --Physics (High Energy)--Particle Invariance Principles & Symmetry--General
PSEUDOSCALAR MESONS
SCALAR MESONS
SCATTERING LENGTHS
SU-3 GROUPS