2007/03/31 by Takayuki Matsuki, Kohichi Seo, Koichi Seo
Physics and Astronomy · #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ex #hep-ph
paper · pdf · doi:10.1143/ptp.118.1087
published as Prog.Theor.Phys.118:1087,2007; Erratum-ibid.121:1141-1141,2009 · 28 pages, 4 Tables
openalex publication_date 2007/12/01 · arxiv created 2007/12/08 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Succeeding in predicting 0+ and 1+ states of D and Ds heavy mesons with our semi-relativistic 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/mQ corrections to those for the process B → D(*)ℓ v based on our model of 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. These values are compatible with recent experimental data as well as other theoretical calculations.