$B\to D^{\ast\ast}$ semileptonic decay in covariant quark models à la Bakamjian Thomas

Details $B\to D^{\ast\ast}$ semileptonic decay in covariant quark models à la Bakamjian Thomas $B\to D^{\ast\ast}$ semileptonic decay in covariant quark models à la Bakamjian Thomas

1996-05-02

arxiv.org/abs/hep-ph/9605206v1

Phys.Lett. B386 (1996) 315-327

Physics

High Energy Physics

High Energy Physics - Phenomenology

14 pages, Latex2e, AMS-LaTeX

Scientific paper

10.1016/0370-2693(96)00945-8

Once chosen the dynamics in one frame, for example the rest frame, the Bakamjian and Thomas method allows to define relativistic quark models in any frame. These models have been shown to provide, in the heavy quark limit, fully covariant current form factors as matrix elements of the quark current operator. They also verify the Isgur-Wise scaling and give a slope parameter $\rho^2>3/4$ for all the possible choices of the dynamics. In this paper we study the $L=1$ excited states and derive the general formula, valid for any dynamics, for the scaling invariant form factors $\tau_{1/2}^{(n)}(w)$ and $\tau_{3/2}^{(n)}(w)$. We also check the Bjorken-Isgur-Wise sum rule already demonstrated elsewhere in this class of models.

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