Jayadevan, A P; Dr. Ramesh Babu, T(Cochin University of Science and Technology, February , 2005)
[+]
[-]
Abstract:
In this thesis quark-antiquark bound states are considered using a relativistic two-body
equation for Dirac particles. The mass spectrum of mesons includes bound states
involving two heavy quarks or one heavy and one light quark. In order to analyse these
states within a unified formalism, it is desirable to have a two-fermion equation that limits
to one body Dirac equation with a static interaction for the light quark when the other
particle's mass tends to infinity. A suitable two-body equation has been developed by Mandelzweig
and Wallace. This equation is solved in momentum space and is used to describe
the complete spectrum of mesons. The potential used in this work contains a short range
one-gluon exchange interaction and a long range linear confining and constant potential
terms. This model is used to investigate the decay processes of heavy mesons. Semileptonic
decays are more tractable since there is no final state interactions between the leptons
and hadrons that would otherwise complicate the situation. Studies on B and D meson
decays are helpful to understand the nonperturbative strong interactions of heavy mesons,
which in turn is useful to extract the details of weak interaction process. Calculation of
form factors of these semileptonic decays of pseudo scalar mesons are also presented.
Description:
Department of Physics,
Cochin University of Science and Technology