Heavy Quark S- to P-Wave Transitions in a Consistent Quark Model

Abstract

In Heavy Quark Effective Theory the calculation of form-factors of higher excited states in a non-relativistic framework suffers severe inconsistencies due to frame dependencies. We show how careful inclusion of the Wigner-rotation of the spin of the light quark and a covariant description of the meson wave-function resolves these inconsistencies. We match this onto HQET and compute the relevant form factors $ξ_{1/2}$ and $ξ_{3/2}$ to order $v^2$.