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We present measurements of the inclusive branching fractions for the decaysD^+ -> X e^+ nu_e and D^0 -> X e^+ nu_e, using 281 pb^-1 of data collected onthe psi(3770) resonance with the CLEO-c detector. We find Br(D^0 ->Xe^+\nu_e) =(6.46 \pm 0.17 \pm 0.13)% and Br((D^+ -> Xe^+nu_e) = (16.13 \pm 0.20 \pm0.33)%. Using the known D meson lifetimes, we obtain the ratioGamma{D^+}^sl/Gamma_{D^0}^sl= 0.985\pm 0.028\pm 0.015, confirming isospininvariance at the level of 3%. The positron momentum spectra from D^+ and D^0have consistent shapes.

physical review letters

Absolute Branching Fraction Measurements for<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msup><mml:mi>D</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:math>and<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msup><mml:mi>D</mml:mi><mml:mn>0</mml:mn></mml:msup></mml:math>Inclusive Semileptonic Decays

Absolute Branching Fraction Measurements forD+andD0Inclusive Semileptonic Decays