Extended partially conserved axial-vector current hypothesis and chiral-symmetry breaking. [Amplitudes]

Journal Article · Mon Feb 28 23:00:00 EST 1977 · Phys. Rev., D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.15.1350· OSTI ID:7120218

Dominguez, C A

An extended partially conserved axial-vector current (PCAC) hypothesis that incorporates a family of heavy bosons in a model-independent way is proposed. This is motivated by the impossibility of accounting for the corrections to Goldberger-Treiman relations, both in SU(2) x SU(2) and SU(3) x SU(3), by means of ordinary dynamical mechanisms (many-particle intermediate states). This new hypothesis coupled with an assumption on the strong-coupling constants of the heavy bosons leads to the following results: (i) A universality among the corrections to Goldberger-Treiman relations for ..delta..S = 0 decays, ..delta../sub ..pi../, on the one hand and for ..delta..S not-equal 0 decays, ..delta../sub K/, on the other. (ii) From this universality there follow two sets of sum rules involving masses and strong and weak coupling constants. These sum rules become identities in the chiral as well as in the SU(3) limit and although a definite check has to await for the advent of accurate hyperon data, there are indications that they might be saturated. (iii) By studying the Dashen-Weinstein sum rules, new sets of sum rules involving only strong coupling constants are predicted as well as an expression for ..delta../sub ..pi..//..delta../sub K/ in good agreement with present data. (iv) It is found that ..delta../sub ..pi../ and ..delta../sub K/, which are a measure of chiral-symmetry breaking, determine completely the on-mass-shell corrections to soft-meson theorems. Since both ..delta../sub ..pi../ and ..delta../sub K/ are known experimentally, a calculation is made of the on-mass-shell amplitudes for ..pi../sup 0/ ..-->.. ..gamma gamma.., eta ..-->.. ..gamma gamma.., eta ..-->.. ..pi pi gamma.., ..gamma.. ..-->.. ..pi pi pi..,and ..gamma gamma.. ..-->.. ..pi pi pi.. starting from the zero-mass limits implied by anomalous Ward identities. In particular, it is found that the results for the radiative eta decays are in agreement with present experimental data without the need for invoking eta-eta' mixing.

• Research Organization: Departamento de Fisica, Centro de Investigacion y de Estudios Avanzados del I.P.N., Apartado Postal 14-740, Mexico 14, D.F.
• OSTI ID: 7120218
• Journal Information: Phys. Rev., D; (United States), Journal Name: Phys. Rev., D; (United States) Vol. 15:5; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

645302* -- High Energy Physics-- Particle Invariance Principles & Symmetries-- Applications to Electromagnetic & Weak Interactions-- (-1987)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ALGEBRAIC CURRENTS
AXIAL-VECTOR CURRENTS
BASIC INTERACTIONS
BETA DECAY
BOSONS
CHIRAL SYMMETRY
CORRECTIONS
COUPLING CONSTANTS
CURRENTS
DECAY
ELEMENTARY PARTICLES
EQUATIONS
ETA MESONS
HADRONS
INTERACTIONS
LEPTONIC DECAY
LIE GROUPS
LOW-ENERGY THEOREM
MASSLESS PARTICLES
MATHEMATICAL MODELS
MESONS
PARTICLE DECAY
PARTICLE MODELS
PCAC THEORY
PHOTONS
PIONS
PIONS NEUTRAL
PSEUDOSCALAR MESONS
STRONG-COUPLING MODEL
SU GROUPS
SU-2 GROUPS
SU-3 GROUPS
SUM RULES
SYMMETRY
SYMMETRY BREAKING
SYMMETRY GROUPS
WARD IDENTITY
WEAK INTERACTIONS
WEAK PARTICLE DECAY