Decay Constant of Pseudo-scalar Mesons in Bethe-Salpeter Framework
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Date
2009-06
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Addis Ababa University
Abstract
We have employed the frame work of the Bethe-Salpeter equation under Covariant Instantaneous
Ansatz to calculate the leptonic decay constant of pion and have also reviewed
calculation of leptonic decay constants of unequal mass pseudoscalar mesons. In the
Dirac structure of BS wave function, the covariants are incorporated in accordance with a
recently proposed power counting rule. The decay constants are calculated with incorporation
of both Leading-Orders (LO) as well as Next-to-Leading-Order (NLO) covariants.
The main contribution of this thesis is an alternative derivation of pion leptonic decay
constant which hopefully should raise the contribution of LO covariants in comparision
to NLO covariants and hence validating the power counting rue for pion
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Bethe-Salpeter Framework