Abstract.The Fock-Tani formalism is a first principle method to obtain effective interactions from microscopic Hamiltonians. Usually this formalism was applied to scattering, here we introduced it to calculate partial decay widths for mesons.
In the last years many exotic states have been identified in several colliders around the world. One of the exotic states provided in QCD is the glueball. Using a non-relativistic gluon bound-state model, we compute Γ(G → γγ), where G is a pseudoscalar, tensor, or scalar digluon. For the starting from the amplitudes we considers the process γγ → g * g * at threshold, where the amplitudes are obtained in perturbative QCD at lowest order by deriving them from QED calculation and the g * s are massive constituent gluons. In this calculation the unknown parameters of the model, such as the digluon wave function, are obtained using measured values of Γ(J/Ψ → Gγ). Our theorical results are compared with the present experimental limits for the various glueballs candidates.
In many studies of meson-baryon interactions with short one gluon exchange potential (OGEP), usually a full non-relativistic reduction, at the quark level Hamiltonian, is performed. In systems like ηcN , light and heavy quarks are present, which in principle would require only a partial non-relativistic reduction. We shal start from a JKJ relativistic quark Hamiltonian and apply a partial non-relativistic reduction in order to obtain a OGEP between heavy and light quarks (heavy-light quark potential).
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