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 fairly good description of the CLEO data for | V cb | 0.042.
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From Pis’ma v Zhurnal Éksperimental’no\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \) i Teoretichesko\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \) Fiziki, Vol. 73, No. 7, 2001, pp. 359–363.
Original English Text Copyright © 2001 by Grach, Kulikov, Narodetskii.
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Grach, I.L., Kulikov, P.Y. & Narodetskii, I.M. The bound state corrections to the leptonic decays of the B meson: The light-front approach versus ACM model. Jetp Lett. 73, 317–322 (2001). https://doi.org/10.1134/1.1378110
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DOI: https://doi.org/10.1134/1.1378110