1 research outputs found
Observations On the Potential Confinement of a Light Fermion
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 for the Dirac equation with scalar
confinement, and for the no pair equation with vector
confinement. Using heavy-light data alone we argue against scalar confinement.Comment: Latex (uses epsf macro), 25 pages of text, 12 postscript figures
included. One reference is added and some typos are fixe