Mass Spectroscopy of Ground and Excited Etates of Ccmesons in the Framework of Bethe-Salpeter Equation
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Date
2018-01-01
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Addis Ababa University
Abstract
An important role in applications of quantum chromodynamics to hadronic physics
is played by charmonium and bottomomium which are built up of a heavy quark
and heavy antiquark. In this work, we calculate the mass spectrum of charmonium
for 1P, ..., 3P states of 0++ , 1++ and 1+, as well as for 1S, ..., 4S states of 0+, and
1S, ..., 5D states of 1 along with the two-photon decay widths of ground and first
excited state of 0++ quarkonia for the process, 0++ ! in the framework of a
QCD motivated Bethe-Salpeter Equation. In this 4_4 BSE framework, the coupled
Salpeter equations are first shown to decouple for the confining part of interaction,
under heavy-quark approximation, and analyically solved, and later the one-gluonexchange
interaction is perturbatively incorporated leading to mass spectral equations
for various quarkonia. The analytic forms of wave functions obtained are used
for calculation of two-photon decay widths of _c0. Our results are in reasonable
agreement with data (where ever available) and other models. We derive the mass
spectrum of the meson anallytically by decoupling the coupled integral equation
showing that the incorporation of coulomb potential purterbatively brings our numerical
value much more closer to the experimental value and lift the degeneracy
of the spectrum.
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Keywords
Particlewave Function, Bethe Salpeter Equation, 3D Normalizer