Absolute Branching Fraction Measurements for $D^{+}$ and $D^{0}$ Inclusive Semileptonic Decays

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21 December 2006

journal article
research article
Published by American Physical Society (APS) in Physical Review Letters

Vol. 97 (25) , 251801
https://doi.org/10.1103/physrevlett.97.251801

Abstract

We present measurements of the inclusive branching fractions for the decays

D^{+} \to X e^{+} ν_{e}

and

D^{0} \to X e^{+} ν_{e}

, using

281 {pb}^{- 1}

of data collected on the

ψ (3770)

resonance with the CLEO-c detector. We find

B (D^{0} \to X e^{+} ν_{e}) = (6.46 \pm 0.17 \pm 0.13) %

and

B (D^{+} \to X e^{+} ν_{e}) = (16.13 \pm 0.20 \pm 0.33) %

. Using the known

D

meson lifetimes, we obtain the ratio

Γ_{D^{+}}^{sl} / Γ_{D^{0}}^{sl} = 0.985 \pm 0.028 \pm 0.015

, confirming isospin invariance at the level of 3%. The positron momentum spectra from

D^{+}

and

D^{0}

have consistent shapes.

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