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Using 2.93 fb$^{-1}$ of $e^+e^-$ collision data collected with the BESIIIdetector at a center-of-mass energy of 3.773 GeV, we measure the absolutebranching fractions of the decays $D^0\to K^-e^+\nu_e$ and $D^+\to \bar K^0e^+\nu_e$ to be $(3.567\pm0.031_{\rm stat}\pm 0.025_{\rm syst})\%$ and$(8.68\pm0.14_{\rm stat}\pm 0.16_{\rm syst})\%$, respectively. Starting withthe process $e^+e^-\to D\bar{D}$, a new reconstruction method is employed toselect events that contain candidates for both $D\to \bar Ke^+\nu_e$ and $\barD\to Ke^-\bar \nu_e$ decays. The branching fractions reported in this work areconsistent within uncertainties with previous BESIII measurements that selectedevents containing $D\to \bar Ke^+\nu_e$ and hadronic $\bar D$ decays. Combiningour results with the lifetimes of the $D^0$ and $D^+$ mesons and the previousBESIII measurements leads to a ratio of the two decay partial widths of$\frac{\bar \Gamma_{D^0\to K^{-}e^+\nu_{e}}}{\bar \Gamma_{D^{+}\to \barK^{0}e^+\nu_{e}}}=1.039\pm0.021$. This ratio supports isospin symmetry in the$D^0\to K^-e^+\nu_e$ and $D^+\to \bar K^0 e^+\nu_e$ decays within $1.9\sigma$.

Determination of the absolute branching fractions of $D^0\to K^-e^+\nu_e$ and $D^+\to \bar K^0 e^+\nu_e$