The anomalous threshold, confinement, and an essential singularity in the heavy-light form factor

Details The anomalous threshold, confinement, and an essential singularity in the heavy-light form factor The anomalous threshold, confinement, and an essential singularity in the heavy-light form factor

1997-01-31

arxiv.org/abs/hep-ph/9702213v1

Phys.Rev. D56 (1997) 238-246

Physics

High Energy Physics

High Energy Physics - Phenomenology

Latex 2.09 with epsf.sty. 24 pages of text and 8 postscript figures. Postscript version of complete paper will also be availab

Scientific paper

10.1103/PhysRevD.56.238

The analytic behavior of the heavy-light meson form factor is investigated using several relativistic examples including unconfined, weakly confined, and strongly confined mesons. It is observed that confinement erases the anomalous threshold singularity and also induces an essential singularity at the normal annihilation threshold. In the weak confinement limit, the "would be" anomalous threshold contribution is identical to that of the real singularity on its space-like side.

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