Analysis of the dynamics of the decay $$ {D}^{+}\to {K}_S^0{\pi}^0{e}^{+}{\nu}_e $$

A bstract The branching fraction of $$ {D}^{+}\to {K}_S^0{\pi}^0{e}^{+}{\nu}_e $$ D + → K S 0 π 0 e + ν e is measured for the first time using 7.93 fb − 1 of e + e − annihilation data collected at the center-of-mass energy $$ \sqrt{s} $$ s = 3.773 GeV with the BESIII detector operating at the BEPCII collider, and is determined to be $$ \mathcal{B}\left({D}^{+}\to {K}_S^0{\pi}^0{e}^{+}{\nu}_e\right)=\left(0.881\pm {0.017}_{\textrm{stat}.}\pm {0.016}_{\textrm{syst}.}\right)\% $$ B D + → K S 0 π 0 e + ν e = 0.881 ± 0.017 stat . ± 0.016 syst . % . Based on an analysis of the $$ {D}^{+}\to {K}_S^0{\pi}^0{e}^{+}{\nu}_e $$ D + → K S 0 π 0 e + ν 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 $$ {f}_{{\overline{K}}^{\ast }{(892)}^0}=\left(93.88\pm {0.27}_{\textrm{stat}.}\pm {0.29}_{\textrm{syst}.}\right)\% $$ f K ¯ ∗ 892 0 = 93.88 ± 0.27 stat . ± 0.29 syst . %

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