On relation between rest frame and light-front descriptions of quarkonium

Abstract

In this paper we study the relation between the light-front (infinite momentum) and rest-frame descriptions of quarkonia. While the former is more convenient for high-energy production, the latter is usually used for the evaluation of charmonium properties. In particular, we discuss the dynamics of a relativistically moving system with nonrelativistic internal motion and give relations between rest frame and light-front potentials used for the description of quarkonium states. We consider two approximations, first the small coupling regime, and next the nonperturbative small binding energy approximation. In both cases we get consistent results. Our results could be relevant for the description of final state interactions in a wide class of processes, including quarkonium production on nuclei and plasma. Moreover, they can be extended to the description of final state interactions in the production of weakly bound systems, such as for example the deuteron.

10 pages, 2 Figures

References in corpus (11)

• Effective confining potentials for QCD
• Heavy Quarkonium moving in a Quark-Gluon Plasma
• Solving Bethe-Salpeter scattering state equation in Minkowski space
• Heavy quark free energies for three quark systems at finite temperature
• On static quark anti-quark potential at non-zero temperature
• Light-front potential for heavy quarkonia constrained by the holographic soft-wall model
• Survival of charmonia in a hot environment
• Puzzles of J/Psi production off nuclei
• Static quark correlators and quarkonium properties at non-zero temperature
• Recent Developments in Lattice Studies for Quarkonia
• Charmonium in a hot medium: melting vs absorption

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• Coherent photoproduction of heavy quarkonia on nuclei
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• Coherent photo- and electroproduction of charmonia on nuclear targets revisited: Green function formalism