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Succeeding in predicting 0 and 1 states of D and Ds heavy mesons by our semi-relativistic quark potential model, we examine a method how to construct Lorentz-invariant scattering amplitudes and/or decay widths and develop a formulation to calculate Lorentz-boosted ones given the rest frame wave functions in our model. To show how effective this is, we apply the formulation to calculate the semileptonic weak form factors out of the rest frame wave functions of heavy mesons and numerically calculate the dynamical 1/mQ corrections to those for the process B̄ → D(∗)`ν based on our model for heavy mesons. It is shown that nonvanishing expressions for ρ1(ω) = ρ2(ω) and ρ3(ω) = ρ4(ω) = 0 are obtained in a special Lorentz frame, where ρi(ω) are the parameters used in the Neubert-Rieckert decomposition of form factors. Various values of form factors are estimated, which are compatible with recent experimental data as well as other theoretical calculations.

Construction of Lorentz Invariant Amplitudes from Rest Frame Wave Functions in HQET