Weak Decays of Bc Meson in Relativistic Independent Quark Model

Abstract

It is believed that 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 newlinestraightforward to determine the constituent quark dynamics from the first principle of newlineQCD application. Therefore, various phenomenological models have been proposed to newlineguess a form of the interaction law through effective quark interaction potential to describe newlinehadronic structure, their property 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 color-singlet core of relativistic independent quark newlineand anti-quark surrounded by cloud of (mostly) pion. In such a picture it is realized newlinethat, the surrounding pion cloud coupling to the quark core, in a way, ensures the newlinechiral symmetry requirement in the non-strange light flavor sector. The framework of newlinethis relativistic chiral potential model renders characteristic simplicity and tractability newlinein the description of wide ranging phenomena in baryonic as well as mesonic sector. The newlinedynamics of constituent quarks and anti-quarks inside the hadron core is described here by newlinethe effective quark Lagrangian density L0q newlinein the zeroth order with a confining interaction newlinepotential in equally mixed scalar-vector harmonic form: newlineU(r) = newline1 newline2 newline(1 + and#947;0)V (r) (1) newlinewhere V (r) = (ar2 + V0) and (a, V0) are the potential parameters. The potential in this newlineform represents phenomenologically the confining interaction expected to be generated newlineby the non-perturbative multi-gluon mechanism including gluon self-coupling, for which newlinestraight-forward analytic expression is not derivable. The scalar part of the potential newlinetogether with the quark mass term in L0q newlinemakes it chirally odd through all space requiring newlinethe introduction of additional pionic f