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VOLUME 73 (2001) | ISSUE 7 | PAGE 359
The bound state corrections to the leptonic decays of the B-meson. The light-front approach versus ACM model
PACS: 12.15.-y, 12.39.Ki, 13.20.-v, 14.40.Nd
Abstract
A generalization of the parton-like formula is used for the first time to find the differential distributions in the inclusive semileptonic weak decays 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 effects arising from the b-quark transverse motion in the B-meson. Using the b-quark light-front (LF) distribution function related to the equal time momentum wave function taken from the ACM model we compute the electron energy spectra and the total semileptonic widths of the B-meson. We find an impressive agreement between the electron energy spectra calculated in the LF approach and the ones obtained in the ACM model, provided the b-quark mass is identified with the average of the floating b-quark mass in the ACM model. In spite of the simplicity of the model we obtain a fair good description of the CLEO data for |Vcb|=0.042.