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arXiv · 1307.4044

Relevance of various Dirac covariants in hadronic Bethe-Salpeter wave functions in electromagnetic decays of ground state vector mesons

Shashank Bhatnagar·Jorge Mahecha·Yikdem Mengesha
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Abstract

In this work we have employed Bethe-Salpeter equation (BSE) under covariant instantaneous ansatz (CIA) to study electromagnetic decays of ground state equal mass vector mesons: $ρ$, $ω$, $ϕ$, $ψ$ and $Y$ through the process $V\rightarrowγ*\rightarrow e^+ + e^-$. We employ the generalized structure of hadron-quark vertex function $Γ$ which incorporates various Dirac structures from their complete set order-by-order in powers of inverse of meson mass. The electromagnetic decay constants for the above mesons are calculated using the leading order (LO) and the next-to-leading order (NLO) Dirac structures. The relevance of various Dirac structures in this calculation is studied.

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Shashank Bhatnagar, Jorge Mahecha, Yikdem Mengesha. 2013-10-11. Relevance of various Dirac covariants in hadronic Bethe-Salpeter wave functions in electromagnetic decays of ground state vector mesons. https://doi.org/10.1103/physrevd.90.014034

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