Leptonic Nonleptonic And Rare Semileptonic Decays Of Heavy Flavored Mesons

Abstract

It is believed that a theoretical understanding of hadronic phenomena can be achieved from newlinethe study of internal dynamics of hadrons at the constituent level, which is essentially newlinegoverned by quantum chromodynamics (QCD)- the theory of strong interaction. However, newlinedue to the non-abelian and non-perturbative complicacies inherent in QCD, it is not straightforward newlineto determine the constituent quark dynamics from the first principle QCD application. newlineTherefore, various phenomenological models have been proposed to guess a form of the newlineinteraction law through effective quark interaction potential to describe the hadronic structure, newlinetheir properties and other low-energy hadronic phenomena. newlineThe model adopted in the present investigation is a relativistic independent quark (RIQ) newlinemodel where a hadron is picturized as a color-singlet core of relativistic independent quark newlineand antiquark surrounded by cloud of (mostly) pions. The dynamics of constituent quarks newlineand/or antiquarks inside the hadron core are described here by the effective quark Lagrangian newlinedensity L0q newlinein the zeroth order with a confining interaction potential in the equally mixed newlinescalar-vector harmonic form: newlineU(r) = newline1 newline2 newline(1 + and#947;0)V (r), (1) newlinewhere V (r) = (ar2 + V0). Here (a, V0) are the potential parameters and r is the relative newlinedistance between the constituent quark and/or antiquark. The potential in this form represents newlinephenomenologically the confining interaction expected to be generated by the non-perturbative newlinemulti-gluon mechanism, including gluon self-coupling, for which straightforward analytic newlineexpression is not derivable. The scalar part of the potential together with the quark mass newlineterm in L0q newlinemakes it chirally odd through all space, requiring the introduction of additional newlinepionic field everywhere to preserve SU(2) × SU(2) chiral symmetry. The vector part of newlinethe potential, together with the scalar part in equal proportion at every point renders newlinethe solvability of the Dirac equation, derivable from L0q newlineby converting into an effective newlineSchr¨odinger-like equati