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Measurement of the ratio<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="script">B</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:msup><mml:mi>B</mml:mi><mml:mo>+</mml:mo></mml:msup><mml:mo>→</mml:mo><mml:mi>X</mml:mi><mml:mi>e</mml:mi><mml:mi>ν</mml:mi><mml:mo stretchy="false">)</mml:mo><mml:mo>/</mml:mo><mml:mi mathvariant="script">B</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:msup><mml:mi>B</mml:mi><mml:mn>0</mml:mn></mml:msup><mml:mo>→</mml…
We report measurements of the inclusive electron momentum spectra in decays of charged and neutral $B$ mesons, and of the ratio of semileptonic branching fractions $\mathcal{B}({B}^{+}\ensuremath{\rightarrow}Xe\ensuremath{\nu})$ and $\mathcal{B}({B}^{0}\ensuremath{\rightarrow}Xe\ensuremath{\nu})$. These were performed on a sample of $231\ifmmode\times\else\texttimes\fi{}{10}^{6}$ $B\overline{B}$ events recorded with the BABAR detector at the $\ensuremath{\Upsilon}(4S)$ resonance. Events are selected …