This article is cited in 7 papers

FIELDS, PARTICLES, AND NUCLEI

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

I. L. Grach, P. Yu. Kulikov, I. M. Narodetskii

Institute for Theoretical and Experimental Physics (Russian Federation State Scientific Center), Moscow

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 $|V_{cb}|=0.042$.

PACS: 12.15.-y, 12.39.Ki, 13.20.-v, 14.40.Nd

Received: 27.02.2001

Language: English

 English version: Journal of Experimental and Theoretical Physics Letters, 2001, 73:7, 317–322

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