Relativistic Unitarized Quark/Meson Model in Momentum Space

Details Relativistic Unitarized Quark/Meson Model in Momentum Space Relativistic Unitarized Quark/Meson Model in Momentum Space

2002-12-06

arxiv.org/abs/hep-ph/0212100v2

AIPConf.Proc.660:367-376,2003

Physics

High Energy Physics

High Energy Physics - Phenomenology

Plain LaTeX, 12 pages, 2 EPS figures. Contribution to the Second International Workshop on Hadron Physics, Effective Theories

Scientific paper

10.1063/1.1570586

An outline is given how to formulate a relativistic unitarized constituent quark model of mesons in momentum space, employing harmonic quark confinement. As a first step, the momentum-space harmonic-oscillator potential is solved in a relativistically covariant, three-dimensional quasipotential framework for scalar particles, using the spline technique. Then, an illustrative toy model with the same dynamical equations but now one $q\bar{q}$ and one meson-meson channel, coupled to one another through quark exchange describing the $^3P_0$ mechanism, is solved in closed form on a spline basis. Conclusions are presented on how to generalize the latter to a realistic multichannel quark/meson model.

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