Hadronic transition amplitudes under null-plane Bethe-Salpeter dynamics

Journal Article · Thu Sep 01 04:00:00 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), Journal Name: Phys. Rev. D; (United States) Vol. 38:5; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

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