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arXiv · hep-ph/9410405

Observations On the Potential Confinement of a Light Fermion

M. G. Olsson·S. Veseli·K. Williams
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Abstract

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 $ξ'(1)\simeq -0.90$ for the Dirac equation with scalar confinement, and $ξ'(1)\simeq -1.20$ for the no pair equation with vector confinement. Using heavy-light data alone we argue against scalar confinement.

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M. G. Olsson, S. Veseli, K. Williams. 1995-01-16. Observations On the Potential Confinement of a Light Fermion. https://doi.org/10.1103/physrevd.51.5079

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