Measurement of the $B\to D\ell \nu$ Branching Fractions and Form Factor

Abstract

Using a sample of 3.3 million B-meson decays collected with the CLEO detector at the Cornell Electron Storage Ring, we have studied $B^{-}\to D^0\ell \nu$ and ${\bar{B}}^0\to D^{+}\ell \nu$ decays, where $\ell$ can be either an electron or muon. We distinguish $B\to D\ell \nu$ from other B semileptonic decays by examining the net momentum and energy of the particles recoiling against the D-lepton pairs. We find the decay rate $\Gamma (B\to D\ell \nu )$ = (14.1 +- 1.0 +- 1.2) ns-1 and derive branching fractions for $B^{-}\to D^0\ell \nu$ and $\overline{B^0}\to D^{+}\ell \nu$ of (2.32 +- 0.17 +- 0.20)% and 2.20 +- 0.16 +- 0.19)% respectively, where the uncertainties are statistical and systematic. We also investigate the $B\to D\ell \nu$ form factor and the implication of the result for $|V_{cb}|$.

11 pages, postscript file also available through http://w4.lns.cornell.edu/public/CLNS

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