Hadronic transition amplitudes under null-plane Bethe-Salpeter dynamics

Journal Article · Thu Sep 01 00:00:00 EDT 1988 · Phys. Rev. D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.38.1454· OSTI ID:6907403

Singh, N N; Mitra, A N

A two-tier form of the Bethe-Salpeter (BS) framework is employed for the evaluation of a few typical transition amplitudes involving strong and electromagnetic decays of qq-bar hadrons with Lgreater than or equal to0. The two-tier BS framework, whose rationale has been described in some recent publications, is characterized by (i) a three-dimensional reduction of the BS equation under the null-plane ansatz to make a first contact with mass spectral data and (ii) a reconstructed four-dimensional BS wave function to restore the virtual qq-bar effects (higher Fock states) for the evaluation of hadronic transition amplitudes through the lowest-order Feynman (quark-triangle) diagrams. The processes explicitly considered are the pion form factor F/sub ..pi../(k/sup 2/), (..omega..,a/sub 2/)..--> gamma pi.., (rho,f/sub 2/)->..pi pi.., (a/sub 1/,a/sub 2/)..-->..rho..pi.., and b/sub 1/..--> omega pi... These illustrate the different types of coupling structures that are generally encountered in such a composite-hadron model. The agreement with the data on almost all these amplitudes is excellent, using the same basic constants (..omega../sub 0/,C/sub 0/,m/sub u//sub d/) as employed recently for a successful description of the mass spectra of qq-bar and qqq hadrons, as well as of some pionic amplitudes.

• Research Organization: Department of Physics, University of Delhi, Delhi 110007, India
• OSTI ID: 6907403
• Journal Information: Phys. Rev. D; (United States), Vol. 38:5
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
QUARKONIUM
DECAY
BETHE-SALPETER EQUATION
COMPOSITE MODELS
ELECTROMAGNETIC INTERACTIONS
FEYNMAN DIAGRAM
FORM FACTORS
FOUR-DIMENSIONAL CALCULATIONS
LORENTZ INVARIANCE
MASS SPECTRA
PIONS
QUANTUM CHROMODYNAMICS
STRONG INTERACTIONS
WAVE FUNCTIONS
BASIC INTERACTIONS
BOSONS
DIAGRAMS
ELEMENTARY PARTICLES
EQUATIONS
FIELD THEORIES
FUNCTIONS
HADRONS
INTERACTIONS
INVARIANCE PRINCIPLES
MATHEMATICAL MODELS
MESONS
PARTICLE MODELS
PARTICLE PROPERTIES
PSEUDOSCALAR MESONS
QUANTUM FIELD THEORY
SPECTRA
645204* - High Energy Physics- Particle Interactions & Properties-Theoretical- Strong Interactions & Properties
645400 - High Energy Physics- Field Theory