Study of the decays D+→η(′)e+νe

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Abstract

The charm semileptonic decays ${D}^{+}\ensuremath{\rightarrow}\ensuremath{\eta}{e}^{+}{\ensuremath{\nu}}_{e}$ and ${D}^{+}\ensuremath{\rightarrow}{\ensuremath{\eta}}^{\ensuremath{'}}{e}^{+}{\ensuremath{\nu}}_{e}$ are studied with a sample of ${e}^{+}{e}^{\ensuremath{-}}$ collision data corresponding to an integrated luminosity of $2.93\text{ }\text{ }{\mathrm{fb}}^{\ensuremath{-}1}$ collected at $\sqrt{s}=3.773\text{ }\text{ }\mathrm{GeV}$ with the BESIII detector. We measure the branching fractions for ${D}^{+}\ensuremath{\rightarrow}\ensuremath{\eta}{e}^{+}{\ensuremath{\nu}}_{e}$ to be $(10.74\ifmmode\pm\else\textpm\fi{}0.81\ifmmode\pm\else\textpm\fi{}0.51)\ifmmode\times\else\texttimes\fi{}{10}^{\ensuremath{-}4}$, and for ${D}^{+}\ensuremath{\rightarrow}{\ensuremath{\eta}}^{\ensuremath{'}}{e}^{+}{\ensuremath{\nu}}_{e}$ to be $(1.91\ifmmode\pm\else\textpm\fi{}0.51\ifmmode\pm\else\textpm\fi{}0.13)\ifmmode\times\else\texttimes\fi{}{10}^{\ensuremath{-}4}$, where the uncertainties are statistical and systematic, respectively. In addition, we perform a measurement of the form factor in the decay ${D}^{+}\ensuremath{\rightarrow}\ensuremath{\eta}{e}^{+}{\ensuremath{\nu}}_{e}$. All the results are consistent with those obtained by the CLEO-c experiment.

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