Mended chiral symmetry and the linear sigma model in one-loop order

Journal Article · Fri Feb 28 00:00:00 EST 1992 · Modern Physics Letters A; (United States)

DOI:https://doi.org/10.1142/S0217732392000458· OSTI ID:5318267

Scadron, M D ^[1]

---

1. Dept. of Physics, Univ. of Arizona, Tucson, AZ (US)

In this paper it is shown that the linear {sigma}-model in one loop order in the chiral limit recovers meson masses m{sub {pi}} = 0, m{sub {sigma}} = 2m{sub qk} (NJL), m {sub {rho}} = {radical}2 g{sub {rho}}f{pi} (KSRF), along with couplings g{sigma}{pi}{pi} = m{sup 2}{sub {sigma}}/2f{pi}, g{rho}{pi}{pi} = g{sub {rho}} (VMD universality) and Weinberg's mended chiral symmetry decay width relation {Gamma}{sub {sigma}} = (9/2){Gamma}{sub {rho}}. The linear {sigma}-model combined quark and meson loops also properly predict the radiative decays {pi}{sup 0} {yields} 2{gamma} {yields} e{nu}{gamma} and {delta}{sup 0} (983) {yields} 2{gamma}.

• OSTI ID: 5318267
• Journal Information: Modern Physics Letters A; (United States), Vol. 7:6; ISSN 0217-7323
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
SIGMA MODEL
CHIRAL SYMMETRY
COUPLING CONSTANTS
MASS SPECTRA
MESONS
PARTICLE DECAY
PIONS
PIONS NEUTRAL
QUARKS
RADIATIVE DECAY
WEINBERG-SALAM GAUGE MODEL
WILSON LOOP
BOSON-EXCHANGE MODELS
BOSONS
DECAY
ELEMENTARY PARTICLES
FERMIONS
FIELD THEORIES
HADRONS
MATHEMATICAL MODELS
PARTICLE MODELS
PERIPHERAL MODELS
POSTULATED PARTICLES
PSEUDOSCALAR MESONS
SPECTRA
SYMMETRY
UNIFIED GAUGE MODELS
UNIFIED-FIELD THEORIES
662120* - General Theory of Particles & Fields- Symmetry
Conservation Laws
Currents & Their Properties- (1992-)
662350 - Decays of Mesons- (1992-)