Relativistic formulation of the radiative transitions of charmonium and b-quarkonium

Journal Article · Tue Dec 01 04:00:00 EST 1987 · Phys. Rev. D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.36.3401· OSTI ID:5712068

Daghighian, F; Silverman, D

Bander, Silverman, Klima, and Maor recently developed a relativistic formalism for quark-antiquark bound states. It was used to calculate the spectra and leptonic decay widths of charmonium, b-quarkonium, D mesons, F mesons, B mesons, and mesons composed of light quarks. The form of the interactions between quark and antiquark was highly motivated by QCD. We extend this relativistic treatment to a relativistic formulation of radiative decays that automatically takes into account the effects of recoil, uses boosted final-state meson wave functions, includes relativistic bound-state wave functions involving relativistic mixtures of terms, and treats the valence quarks as four-component spinors. We then calculate radiative transition rates of the charmonium and b-quarkonium systems in this formalism and find that transitions which can be compared with experiment are in good agreement. Predictions are also made for decays that are not yet measured.

• Research Organization: Department of Physics, University of California, Irvine, California 92717
• OSTI ID: 5712068
• Journal Information: Phys. Rev. D; (United States), Journal Name: Phys. Rev. D; (United States) Vol. 36:11; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

645202* -- High Energy Physics-- Particle Interactions & Properties-Theoretical-- Electromagnetic Interactions & Properties
645400 -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BEAUTY PARTICLES
BETHE-SALPETER EQUATION
BOSONS
BOUND STATE
CHARMONIUM
EIGENFUNCTIONS
ELEMENTARY PARTICLES
EQUATIONS
FIELD EQUATIONS
FIELD THEORIES
FUNCTIONS
GENERAL RELATIVITY THEORY
HADRONS
MESONS
QUANTUM CHROMODYNAMICS
QUANTUM FIELD THEORY
QUARKONIUM
RADIATIVE DECAY
RECOILS
RELATIVITY THEORY
SPINORS
WAVE FUNCTIONS