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We present an analysis of the decay $D^{+} to K^{-} pi^+ e^+ u_e$ based on data collected by the BESIII experiment at the $psi(3770)$ resonance. Using a nearly background-free sample of 18262 events, we measure the branching fraction $mathcal{B}(D^{+} to K^{-} pi^+ e^+ u_e) = (3.71 pm 0.03 pm 0.08)%$. For $0.8<m_{Kpi}<1.0$ GeV/$c^{2}$ the partial branching fraction is $mathcal{B}(D^{+} to K^{-} pi^+ e^+ u_e)_{[0.8,1]} = (3.33 pm 0.03 pm 0.07)%$. A partial wave analysis shows that the dominant $bar K^{*}(892)^{0}$ component is accompanied by an emph{S}-wave contribution accounting for $(6.05pm0.22pm0.18)%$ of the total rate and that other components are negligible. The parameters of the $bar K^{*}(892)^{0}$ resonance and of the form factors based on the spectroscopic pole dominance predictions are also measured. We also present a measurement of the $bar K^{*}(892)^{0}$ helicity basis form factors in a model-independent way.
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Using 2.93 fb$^{-1}$ of $e^+e^-$ collision data collected with the BESIII detector at a center-of-mass energy of 3.773 GeV, we measure the absolute branching fractions of the decays $D^0to K^-e^+ u_e$ and $D^+to bar K^0 e^+ u_e$ to be $(3.567pm0.031_{rm stat}pm 0.025_{rm syst})%$ and $(8.68pm0.14_{rm stat}pm 0.16_{rm syst})%$, respectively. Starting with the process $e^+e^-to Dbar{D}$, a new reconstruction method is employed to select events that contain candidates for both $Dto bar Ke^+ u_e$ and $bar Dto Ke^-bar u_e$ decays. The branching fractions reported in this work are consistent within uncertainties with previous BESIII measurements that selected events containing $Dto bar Ke^+ u_e$ and hadronic $bar D$ decays. Combining our results with the lifetimes of the $D^0$ and $D^+$ mesons and the previous BESIII measurements leads to a ratio of the two decay partial widths of $frac{bar Gamma_{D^0to K^{-}e^+ u_{e}}}{bar Gamma_{D^{+}to bar K^{0}e^+ u_{e}}}=1.039pm0.021$. This ratio supports isospin symmetry in the $D^0to K^-e^+ u_e$ and $D^+to bar K^0 e^+ u_e$ decays within $1.9sigma$.
We report a study of the decay $D^0 rightarrow bar{K}^0pi^-e^+ u_{e}$ based on a sample of $2.93~mathrm{fb}^{-1}$ $e^+e^-$ annihilation data collected at the center-of-mass energy of 3.773~GeV with the BESIII detector at the BEPCII collider. The total branching fraction is determined to be $mathcal{B}(D^0rightarrow bar{K}^0pi^-e^+ u_{e})=(1.434pm0.029({rm stat.})pm0.032({rm syst.}))%$, which is the most precise to date. According to a detailed analysis of the involved dynamics, we find this decay is dominated with the $K^{*}(892)^-$ contribution and present an improved measurement of its branching fraction to be $mathcal{B}(D^0rightarrow K^{*}(892)^-e^+ u_e)=(2.033pm0.046({rm stat.})pm0.047({rm syst.}))%$. We further access their hadronic form-factor ratios for the first time as $r_{V}=V(0)/A_1(0)=1.46pm0.07({rm stat.})pm0.02({rm syst.})$ and $r_{2}=A_2(0)/A_1(0)=0.67pm0.06({rm stat.})pm0.01({rm syst.})$. In addition, we observe a significant $bar{K}^0pi^-$ $S$-wave component accounting for $(5.51pm0.97({rm stat.})pm0.62({rm syst.}))%$ of the total decay rate.
Using 2.92~fb$^{-1}$ of electron-positron annihilation data collected at $sqrt{s} = 3.773$~GeV with the BESIII detector, we obtain the first measurements of the absolute branching fraction $mathcal{B}(D^+ to K^0_L e^+ u_e) = (4.481 pm 0.027(mathrm{stat.}) pm 0.103(mathrm{sys.}))%$ and the $CP$ asymmetry $A_{CP}^{D^+ to K^0_L e^+ u_e} = (-0.59 pm 0.60(mathrm{stat.}) pm 1.48(mathrm{sys.}))%$. From the $D^+ to K^0_L e^+ u_e$ differential decay rate distribution, the product of the hadronic form factor and the magnitude of the CKM matrix element, $f_{+}^{K}(0)|V_{cs}|$, is determined to be $0.728 pm 0.006(mathrm{stat.}) pm 0.011(mathrm{sys.})$. Using $|V_{cs}|$ from the SM constrained fit with the measured $f_{+}^{K}(0)|V_{cs}|$, $f_{+}^{K}(0) = 0.748 pm 0.007(mathrm{stat.}) pm 0.012(mathrm{sys.})$ is obtained, and utilizing the unquenched LQCD calculation for $f_{+}^{K}(0)$, $|V_{cs}| = 0.975 pm 0.008(mathrm{stat.}) pm 0.015(mathrm{sys.}) pm 0.025(mathrm{LQCD})$.
Using a data sample corresponding to an integrated luminosity of 2.93~fb$^{-1}$ recorded by the BESIII detector at a center-of-mass energy of $3.773$ GeV, we present an analysis of the decays $bar{D}^0topi^+pi^0 e^-bar{ u}_e$ and $D^+topi^-pi^+ e^+ u_e$. By performing a partial wave analysis, the $pi^+pi^-$ $S$-wave contribution to $D^+topi^-pi^+ e^+ u_e$ is observed to be $(25.7pm1.6pm1.1)$% with a statistical significance greater than 10$sigma$, besides the dominant $P$-wave contribution. This is the first observation of the $S$-wave contribution. We measure the branching fractions $mathcal{B}(D^{0} to rho^- e^+ u_e) = (1.445pm 0.058 pm 0.039) times10^{-3}$, $mathcal{B}(D^{+} to rho^0 e^+ u_e) = (1.860pm 0.070 pm 0.061) times10^{-3}$, and $mathcal{B}(D^{+} to f_0(500) e^+ u_e, f_0(500)topi^+pi^-) = (6.30pm 0.43 pm 0.32) times10^{-4}$. An upper limit of $mathcal{B}(D^{+} to f_0(980) e^+ u_e, f_0(980)topi^+pi^-) < 2.8 times10^{-5}$ is set at the 90% confidence level. We also obtain the hadronic form factor ratios of $Dto rho e^+ u_e$ at $q^{2}=0$ assuming the single-pole dominance parameterization: $r_{V}=frac{V(0)}{A_{1}(0)}=1.695pm0.083pm0.051$, $r_{2}=frac{A_{2}(0)}{A_{1}(0)}=0.845pm0.056pm0.039$.
We report on new measurements of Cabibbo-suppressed semileptonic $D_s^+$ decays using $3.19~mathrm{fb}^{-1}$ of $e^+e^-$ annihilation data sample collected at a center-of-mass energy of 4.178~GeV with the BESIII detector at the BEPCII collider. Our results include branching fractions $mathcal B({D^+_srightarrow K^0 e^+ u_{e}})=(3.25pm0.38({rm stat.})pm0.16({rm syst.}))times10^{-3}$ and $mathcal B({D^+_srightarrow K^{*0} e^+ u_{e}})=(2.37pm0.26({rm stat.})pm0.20({rm syst.}))times10^{-3}$ which are much improved relative to previous measurements, and the first measurements of the hadronic form-factor parameters for these decays. For $D^+_srightarrow K^0 e^+ u_{e}$, we obtain $f_+(0)=0.720pm0.084({rm stat.})pm0.013({rm syst.})$, and for $D^+_srightarrow K^{*0} e^+ u_{e}$, we find form-factor ratios $r_V=V(0)/A_1(0)=1.67pm0.34({rm stat.})pm0.16({rm syst.})$ and $r_2=A_2(0)/A_1(0)=0.77pm0.28({rm stat.})pm0.07({rm syst.})$.
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