The Isgur-Wise Function in Small Velocity Limit

Details The Isgur-Wise Function in Small Velocity Limit The Isgur-Wise Function in Small Velocity Limit

1992-07-07

arxiv.org/abs/hep-ph/9207217v1

Phys.Rev. D47 (1993) 2949-2964

Physics

High Energy Physics

High Energy Physics - Phenomenology

32 pages + 8 figs

Scientific paper

10.1103/PhysRevD.47.2949

We discuss the Isgur-Wise function $\xi (y)$ in the small velocity (SV) limit within the QCD sum rule method. The behavior of $\xi (y)$ in the SV limit is sensitive to the particular form of the duality relations used to decontaminate the sum rule predictions from the continuum contribution. Peculiarities of the duality relations in the problem at hand are revealed. It is shown that the proper requirements of duality and angular isotropy for S wave states lead to an unambiguous form of the sum rules for the Isgur-Wise function. We illustrate the constraints due to these requirements using a toy model of the harmonic oscillator. The slope parameter and the shape of $\xi (y)$ are determined.

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