The bound state corrections to the leptonic decays of the B meson: The light-front approach versus ACM model

A generalization of the parton-like formula is used for the first time to f ind the differential distributions in the inclusive semileptonic weak decay s of the B meson. The main features of this new approach are the treatment of the b quark as an on-mass-shell particle and the inclusion of the effect s arising from the b-quark transverse motion in the B meson. Using the b-qu ark light-front (LF) distribution function related to the equal time moment um wave function taken from the ACM model, we compute the electron energy s pectra and the total semileptonic widths of the B meson. We find an impress ive agreement between the electron energy spectra calculated in the LF appr oach and the ones obtained in the ACM model, provided the b-quark mass is i dentified with the average of the floating b-quark mass in the ACM model. I n spite of the simplicity of the model, we obtain a fairly good description of the CLEO data for \V-cb\ = 0.042. (C) 2001 MAIK "Nauka/Interperiodica".