Generalized structure of hadron-quark vertex function in Bethe-Salpeter framework: Applications to leptonic decays of V-mesons

Abstract

We employ the framework of Bethe-Salpeter equation under Covariant Instantaneous Ansatz (CIA) to study the leptonic decays of vector mesons. The structure of hadron-quark vertex function Gamma is generalized to include various Dirac covariants (other than i gamma dot epsilon) from their complete set. They are incorporated in accordance with a naive power counting rule order by order in powers of the inverse of the meson mass. The decay constants for rho omega and phi mesons are calculated with the incorporation of leading order covariants.

18 pages, 1 table and 1 figure in pdf file; Version to appear in JPG

References in corpus (13)

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• Electromagnetic Form Factors of Charged and Neutral Kaons
• Confinement Phenomenology in the Bethe-Salpeter Equation
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• Electromagnetic Meson Form Factors in the Salpeter Model
• Scaling behaviour of leptonic decay constants for heavy quarkonia and heavy mesons

Cited by in corpus (13)

• Spectroscopy of ground and excited states of pseudoscalar and vector charmonium and bottomonium
• Decay rates of charmonia within a quark-antiquark confining potentials
• Relevance of various Dirac covariants in hadronic Bethe-Salpeter wave functions in electromagnetic decays of ground state vector mesons
• Arranging Dirac covariants in hadronic Bethe-Salpeter wave functions for pseudoscalar meson decays
• QCD sum rules with spectral densities solved in inverse problems
• Analytic approach to calculations of mass spectra and decay constants of heavy-light quarkonia in the framework of Bethe-Salpeter equation
• An approach to calculation of mass spectra and two-photon decays of $c\overline{c}$ mesons in the framework of Bethe-Salpeter Equation
• Exotic Hadron Bound State Production at Hadronic Colliders
• Cross section for double charmonium production in electron-positron annihilation at energy $\sqrt{s}$= 10.6 GeV
• Radiative decays of heavy-light quarkonia through $M1$, and $E1$ transitions in the framework of Bethe-Salpeter equation
• Mass spectra and decay constants of heavy-light axial quarkonia in the framework of Bethe-Salpeter equation
• $E1$ and M1 radiative transitions involving heavy-light axial, pseudoscalar and vector quarkonia in the framework of Bethe-Salpeter equation
• Exclusive Production Ratio of Neutral over Charged Kaon Pair in $e^{+}{e}^{-}$ Annihilation Continuum via `Straton Model'