One-loop calculation of the K/sub l/3 form factors in a renormalizable SU(3) sigma model and tests of chiral-symmetry breaking

Journal Article · Fri Feb 01 00:00:00 EST 1980 · Phys. Rev., D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.21.749· OSTI ID:5534652

Geddes, H B; Graham, R H

The K/sub l/3 form factors are investigated in the one-loop approximation within the context of a linear renormalizable SU(3) sigma model. The model incorporates SU(3) nonets of pseudoscalar (..pi..,K,eta,eta') and scalar (epsilon,kappa,sigma,sigma') mesons. The eta', epsilon, kappa, sigma, and sigma' mesons are associated with the X/sup 0/(957), delta (980), kappa (1400), S* (980), and epsilon (1300), respectively. The Lagrangian contains the most general renormalizable chiral-SU(3) x SU(3) -invariant couplings as well as explicit linear symmetry-breaking terms belonging to the (3,3*) direct-sum (3*,3) representation of SU(3) x SU(3). All calculations are carried out in the one-loop approximation. With this model we first obtain a reasonable approximation to the scalar and pseudoscalar mass spectrum and the known leptonic decay constants. Most of the masses and decay constants are reproduced within 10%. In addition, the second-order corrections were usually in the neighborhood of 15--20% or less, supporting the conjecture that higher-order strong-interaction effects may, in most cases, be rather small. Employing these solutions, we calculate the K/sub l/3 form factors and compare these with recent experimental studies. The predictions for lambda/sub +/ are too small probably due to the fact that, at this level of approximation, the model contains no spin-one poles (vector mesons). However, the model predictions for lambda/sub 0/ and xi (0) are fairly good. A number of theoretical predictions for the K/sub l/3 form factors based on current algebra and chiral perturbation theory are then investigated. In particular, we were interested in the magnitude of the corrections to various predictions derived using specific symmetry assumptions.

• Research Organization: Department of Physics, Carleton University, Ottawa, Canada
• OSTI ID: 5534652
• Journal Information: Phys. Rev., D; (United States), Vol. 21:3
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
KAONS NEUTRAL LONG-LIVED
LEPTONIC DECAY
SIGMA MODEL
SU-3 GROUPS
SYMMETRY BREAKING
CHIRAL SYMMETRY
FORM FACTORS
HAMILTONIANS
LAGRANGIAN FUNCTION
MASS SPECTRA
MATRIX ELEMENTS
PERTURBATION THEORY
PSEUDOSCALAR MESONS
RENORMALIZATION
SCALAR MESONS
STRONG INTERACTIONS
SU-2 GROUPS
BASIC INTERACTIONS
BOSONS
DECAY
ELEMENTARY PARTICLES
FUNCTIONS
HADRONS
INTERACTIONS
KAONS
KAONS NEUTRAL
LIE GROUPS
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
MESONS
PARTICLE DECAY
PARTICLE MODELS
PARTICLE PROPERTIES
QUANTUM OPERATORS
SPECTRA
STRANGE PARTICLES
SU GROUPS
SYMMETRY
SYMMETRY GROUPS
WEAK INTERACTIONS
WEAK PARTICLE DECAY
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