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

Journal Article · Tue Aug 01 00:00:00 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), Vol. 18:3
• Country of Publication: United States
• Language: English

Related Subjects

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