Pseudoscalar-meson decay constants, Goldberger-Treiman relations, and chiral SU(4) x SU(4) symmetry breaking

Journal Article · Tue Aug 01 04:00:00 EDT 1978 · Phys. Rev., D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.18.963· OSTI ID:6680463

Dominguez, C A

A relation is obtained between pseudoscalar-meson decay constants, F/sub ..pi../, F/sub K/, F/sub D/, and F/sub F/, and the corrections to the Goldberger-Treiman relations in SU(2) x SU(2), SU(3) x SU(3), and SU(4) x SU(4). From this the following model- independent inequality is derived: F/sub F//F/sub ..pi../ > or approx. = F/sub D// F/sub ..pi../ > F/sub K//F/sub ..pi../ > 1. Predictions are then made for the corrections to five Goldberger-Treiman relations in the charm sector using the three-point-function Veneziano model. These corrections turn out to be large, i.e., 70--85%, compared to those in SU(2) x SU(2) and SU(3) x SU(3). Also, values for the ratios F/sub D//F/sub ..pi../ and F/sub F//F/sub ..pi../ are predicted.

• Research Organization: Departamento de Fisica, Centro de Investigacion y de Estudios Avanzados del Instituto Politecnico Nacional, Apartado Postal 14-740, Mexico 14, D. F.
• OSTI ID: 6680463
• Journal Information: Phys. Rev., D; (United States), Journal Name: Phys. Rev., D; (United States) Vol. 18:3; ISSN PRVDA
• Country of Publication: United States
• Language: English

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72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BOSONS
CHIRAL SYMMETRY
COMPOSITE MODELS
DECAY
ELEMENTARY PARTICLES
HADRONIC PARTICLE DECAY
HADRONS
LIE GROUPS
MATHEMATICAL MODELS
MESONS
PARTICLE DECAY
PARTICLE MODELS
PCAC THEORY
PSEUDOSCALAR MESONS
QUARK MODEL
SU GROUPS
SU-2 GROUPS
SU-3 GROUPS
SU-4 GROUPS
SYMMETRY
SYMMETRY BREAKING
SYMMETRY GROUPS
VENEZIANO MODEL