Description of Heavy Quark Systems by means of Energy Dependent Potentials

2004/11/04 by R.J. Lombard, R. J. Lombard, J. Mareš +5 · 1 citation
Physics and Astronomy · #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ex #hep-ph #nucl-ex #nucl-th

paper · pdf · doi:10.48550/arxiv.hep-ph/0411067

3 pages

arxiv created 2004/11/04 · arxiv updated 2009/12/01

Abstract

We apply, for the first time, an energy dependent Schrodinger equation to describe static properties of heavy quark systems, i.e. charmonium and bottonium. We show that a good description of the eigenstates and reasonable values for the widths can be obtained. Values of the radii and of the density at the origin are also given. We compare the results to those deduced with a Schrodinger equation implemented with potentials used so far. We note that the energy dependence of the confining potential provides a natural mechanism for the saturation of the spectra. Our results introduce a new class of potentials for the description of heavy quark systems.

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