Analysis of the dynamics of the decay D+→KS0π0e+νe

Abstract

The branching fraction of $D^{+}\to K_S^0{\pi }^0{e}^{+}{\nu }_e$ is measured for the first time using 7.93 fb⁻¹ of e⁺e⁻ annihilation data collected at the center-of-mass energy $\sqrt{s}$ = 3.773 GeV with the BESIII detector operating at the BEPCII collider, and is determined to be $\mathcal{B}\left(D^{+}\to K_S^0{\pi }^0{e}^{+}{\nu }_e\right)=\left(0.881\pm {0.017}_{\text{stat}.}\pm {0.016}_{\text{syst}.}\right)\%$. Based on an analysis of the $D^{+}\to K_S^0{\pi }^0{e}^{+}{\nu }_e$ decay dynamics, we observe the S-wave and P-wave components with fractions of f_S-wave = (6.13 ± 0.27_stat.± 0.30_syst.)% and $f_{{\overline{K}}^{\ast }{\left(892\right)}^0}=\left(93.88\pm {0.27}_{\text{stat}.}\pm {0.29}_{\text{syst}.}\right)\%$, respectively. From these results, we obtain the branching fractions $\mathcal{B}\left(D^{+}\to {\left(K_S^0{\pi }^0\right)}_{S-\text{wave}}{e}^{+}{\nu }_e\right)=\left(5.41\pm {0.35}_{\text{stat}.}\pm {0.37}_{\text{syst}.}\right)\times {10}^{-4}$ and $\mathcal{B}\left(D^{+}\to {\overline{K}}^{\ast }{\left(892\right)}^0{e}^{+}{\nu }_e\right)=\left(4.97\pm {0.11}_{\text{stat}.}\pm {0.12}_{\text{syst}.}\right)\%$. In addition, the hadronic form-factor ratios of $D^{+}\to {\overline{K}}^{\ast }{\left(892\right)}^0{e}^{+}{\nu }_e$ at q² = 0, assuming a single-pole dominance parameterization, are determined to be $r_V=\frac{V\left(0\right)}{A_1\left(0\right)}=1.43\pm {0.07}_{\text{stat}.}\pm {0.03}_{\text{syst}.}$ and $r_2=\frac{A_2\left(0\right)}{A_1\left(0\right)}=0.72\pm {0.06}_{\text{stat}.}\pm {0.02}_{\text{syst}.}$.