Arranging Dirac covariants in hadronic Bethe-Salpeter wave functions for pseudoscalar meson decays

Abstract

We have employed the framework of Bethe-Salpeter equation under covariant instantaneous ansatz to calculate leptonic decay constants of unequal mass pseudoscalar mesons like pi, K, D, Ds and B and radiative decay constants of neutral pseudoscalar mesons like pi and etac in two photon decays of these mesons. In the Dirac structure of hadronic BS wave function, the covariants are incorporated from their complete set in accordance with a recently proposed power counting rule, order-by-order in powers of inverse of meson mass. The decay constants are calculated with the incorporation of both Leading order (LO) and the Next-to-leading order (NLO) Dirac covariants. The contribution of both LO as well as NLO Dirac covariants are studied in detail in this paper. The results are found to improve dramatically and hence validating the power counting rule which also provides a practical means of incorporating Dirac covariants in the BS wave function for a hadron.

article and four figures

References in corpus (4)

• Big Bang Nucleosynthesis (in "The Review of Particle Properties" 2004)
• Mesons in a Poincare Covariant Bethe-Salpeter Approach
• Decay Constants of Heavy Meson of $0^{-}$ State in Relativistic Salpeter Method
• Generalized structure of hadron-quark vertex function in Bethe-Salpeter framework: Applications to leptonic decays of V-mesons

Cited by in corpus (14)

• Spectroscopy of ground and excited states of pseudoscalar and vector charmonium and bottomonium
• Relevance of various Dirac covariants in hadronic Bethe-Salpeter wave functions in electromagnetic decays of ground state vector mesons
• 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
• Properties of the ${\eta }_q$ leading-twist distribution amplitude and its effects to the $B/D^{+}\to {\eta }^{(\prime )}{\ell }^{+}{\nu }_{\ell }$ decays
• Revisiting the $P$-wave charmonium radiative decays $h_c\to \gamma {\eta }^{(\prime )}$ with relativistic corrections
• 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'
• QCD analysis of the $P$-wave charmonium electromagnetic Dalitz decays $h_c\to {\eta }^{(\prime )}{\ell }^{+}{\ell }^{-}$
• Heavy quarkonium decay $V\to ggg$ with both relativistic and QCD radiative corrections