Vector Meson Decay Constants With Inclusion Of Both Lo And Nlo Dirac Covariants In Hadron-Quark Vertex
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Date
2009-07
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Addis Ababa University
Abstract
The Bethe-Salpeter equation (BSE) provides a non-perturbativ method of treating
the relativistic two-particle bound state problems on the basis of covariant instantaneous
ansatz (CIA). On this basis, the structure of the hadron-quark vertex function
(ˆq) of vector mesons is derived from a QCD motivated Bethe-salpeter (BS) frame
work and it is generalized to include various Dirac covariants (other than i
.") 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.
We study vector meson decay constants with inclusion of both the leading order
(LO) and the next-to-leading order (NLO) Dirac Covariants, in addition to i
.", in
the Hadron-Quark vertex function (ˆq) from their complete set on the basis of power
counting rule through the frame work of BSE under covariant instantaneous ansatz
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Keywords
Both Lo And Nlo Dirac Covariants