Relativistic Unitarized Quark/Meson Model in Momentum Space

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 fram...

Full description

Saved in:
Bibliographic Details
Published in:arXiv.org 2002-12
Main Authors: Rupp, George, Eef van Beveren
Format: Article
Language:English
Subjects:
Mesons
Momentum
Quark models
Quarks
Relativism
Relativistic effects
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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.
ISSN:2331-8422
DOI:10.48550/arxiv.0212100