Observations On the Potential Confinement of a Light Fermion

Details Observations On the Potential Confinement of a Light Fermion Observations On the Potential Confinement of a Light Fermion

1994-10-30

arxiv.org/abs/hep-ph/9410405v2

Phys.Rev. D51 (1995) 5079-5089

Physics

High Energy Physics

High Energy Physics - Phenomenology

Latex (uses epsf macro), 25 pages of text, 12 postscript figures included. One reference is added and some typos are fixed

Scientific paper

10.1103/PhysRevD.51.5079

We consider possible dynamical models for a light fermion confined by a potential field. With the Dirac equation only Lorentz scalar confinement yields normalizable wavefunctions, while with the ``no pair'' variant of the Dirac equation only Lorentz vector confinement has normal Regge behaviour. A systematic investigation of Regge properties and phenomenological properties is carried out, including calculations of the Isgur-Wise function. We point out that the Isgur-Wise function provides a sensitive test of confinement models. In particular, the slope of the IW function at zero recoil point is found to be $\xi'(1)\simeq -0.90$ for the Dirac equation with scalar confinement, and $\xi'(1)\simeq -1.20$ for the no pair equation with vector confinement. Using heavy-light data alone we argue against scalar confinement.

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