2013/07/31 by Shashank Bhatnagar, Jorge Mahecha, Yikdem Mengesha · 21 citations
Physics and Astronomy · #Ansatz #Bethe–Salpeter equation #Black Holes and Theoretical Physics #Covariant transformation #Dirac (video compression format) #Dirac equation #Ground state #Hadron #Mathematical physics #Meson #Neutrino #Particle physics #Particle physics theoretical and experimental studies #Physics #Pseudovector #Quantum Chromodynamics and Particle Interactions #Quantum electrodynamics #Quantum mechanics #Vector meson #Vertex function #Wave function #hep-ph
paper · pdf · doi:10.1103/physrevd.90.014034
published in Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields 90(1) (American Physical Society) · 20 pages, 3 figures, 4 tables
arxiv created 2013/10/11 · openalex publication_date 2014/07/22 · arxiv updated 2015/06/16 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
In this work we have employed the Bethe-Salpeter equation (BSE) under covariant instantaneous ansatz to study electromagnetic decays of ground state equal mass vector mesons \ensuremathρ, \ensuremathω, \ensuremathφ, \ensuremathψ, and Y through the process V\ensuremath→\ensuremathγ\ensuremath→e++e^\ensuremath-. We employ the generalized structure of the hadron-quark vertex function \mathrm\ensuremathΓ that incorporates all Dirac structures from their complete set order by order in powers of the inverse of the meson mass. We have explicitly shown the derivation of this general form of this hadron-quark vertex function \mathrm\ensuremathΓ (in terms of unknown coefficients) for a vector meson with the incorporation of all the Dirac structures (i.e., those dependent on external hadron momentum P, as well those dependent on internal hadron momentum q) as the solution of the full 4\ifmmode×\else\texttimes\fi4 Bethe-Salpeter equation. The unknown coefficients multiplying the various Dirac structures are calculated by reducing the 4\ifmmode×\else\texttimes\fi4 BSE to a determinantal form. These coefficients thus determined were also employed for the calculation of fV values and gave good agreement with data, as well as an acceptable solution of the full BSE.