Heavy Quarkonia in the Instantaneous Bethe-Salpeter Model

Abstract

The heavy quarkonia (Charmonium \(c\bar{c}\) and Bottomonium \(b\bar{b}\)) are investigated in the framework of the instantaneous BS-equation (Salpeter equation). We parametrize confinement alternatively by a linearly rising scalar or a vector interaction kernel and take into account the one-gluon-exchange (OGE) interaction in the instantaneous approximation. Mass spectra as well as leptonic, two-photon, E1 and M1 decay widths are calculated. Our results show that a reasonable description of the experimental data can be obtained with both spin structures for the confining kernel. The relativistic treatment leads to an improved description compared to nonrelativistic results for the two-photon width of the \(η_c\) and to some extent for the E1-transition widths. However, characteristic deviations indicate that within a relativistic framework confinement is not described adequately by a potential.

RevTex, 18 pages, 7 figures, University of Bonn, TK-94-12

References in corpus (5)

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• Analysis of the instantaneous Bethe-Salpeter equation for \(q\bar{q}\)-bound-states
• Effects of Negative Energy Components in the Constituent Quark Model
• On the Lorentz structure of the confinement potential
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Cited by in corpus (18)

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• On the Particle Data Group evaluation of Psi' and chi_c Branching Ratios
• Quark--antiquark states and their radiative transitions in terms of the spectral integral equation. {\Huge II.} Charmonia
• On relation between rest frame and light-front descriptions of quarkonium
• Radiative leptonic B decays in the instantaneous Bethe-Salpeter approach
• Exclusive channels in $\gamma \gamma$ reactions: light at the end of the tunnel?
• Analysis of the vector meson transitions among the heavy quarkonium states
• Analysis of the radiative decays among the bottomonium states
• Determination of V_cb from exclusive decays in a relativistic quark model
• Hybrids and Quark Confinement
• Charmed quark component of the photon wave function