Browsing by Author "Alemu, Lmenew"

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    Mass Spectroscopy of Ground and Excited Etates of Ccmesons in the Framework of Bethe-Salpeter Equation
    (Addis Ababa University, 2018-01-01) Alemu, Lmenew; Bhatnagar, Shashank (Professer)
    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.