Construction of Lorentz-Invariant Amplitudes from Rest-Frame Wave Functions in HQET : Application to the Isgur-Wise Function(Particles and Fields)

概要

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Succeeding in predicting 0^+ and 1^+ states of D and D_s heavy mesons with our semirelativistic quark potential model, we examine a method for constructing 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 illustrate the effectiveness of our method, we apply the formulation to the problem of calculating the semileptonic weak form factors from the rest-frame wave functions of heavy mesons and numerically calculate the dynamical 1/m_Q corrections to those for the process B→D^<(*)>lν based on our model of heavy mesons. It is shown that nonvanishing expressions for ρ_1(ω) = ρ_2(ω) and ρ_3(ω) = ρ_4(ω) = 0 are obtained in a special Lorentz frame, where ρ_i(ω) are the parameters used in the Neubert-Rieckert decomposition of form factors. Various values of form factors are estimated. These values are compatible with recent experimental data as well as other theoretical calculations.
2007-12-25