Quark Model Form Factors for Heavy Quark Effective Theory

Abstract

We show how both the spectroscopy of heavy-light hadrons and the slope of the Isgur-Wise function can be simultaneously fitted when Heavy Quark Effective Theory is matched onto dynamical quark models, including careful treatment of wigner rotations. Working consistently to order $\vec{v}^2$ and using the parameters from hadron spectroscopy as input, we determine the slope parameter $ρ$ for s-wave transitions to be $1.19 \pm 0.02$. This agrees with the emperical value for $b \rightarrow c$ transitions.