${{\mathit D}^{+}}$ $\rightarrow$ ${{\mathit K}_S^0}$ ${{\mathit \pi}^{+}}{{\mathit \pi}^{0}}$  Decay Mode Summary INSPIRE   JSON  (beta) PDGID:
S031.12
Mode (*) Fraction ($\Gamma_i$ / $\Gamma$) Scale Factor/
Conf. Level		 P(MeV/c)  
$\Gamma_{72}$ ${{\mathit D}^{+}}$ $\rightarrow$ ${{\mathit K}_S^0}$ ${{\mathit \pi}^{+}}{{\mathit \pi}^{0}}$ ($7.36$ $\pm0.20$) $ \times 10^{-2}$ 845
Category: Hadronic modes with a ${{\overline{\mathit K}}}$ or ${{\overline{\mathit K}}}{{\mathit K}}{{\overline{\mathit K}}}$
Note: The branching fraction for this mode may differ from the sum of the submodes that contribute to it, due to interference effects. See the relevant papers.
The following data is related to the above value:
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$\Gamma({{\mathit D}^{+}}$ $\rightarrow$ ${{\mathit K}_S^0}$ ${{\mathit \pi}^{+}}{{\mathit \pi}^{0}})/\Gamma({{\mathit D}^{+}}$ $\rightarrow$ ${{\mathit K}^{-}}$2 ${{\mathit \pi}^{+}})$
$\Gamma_{72}/\Gamma_{62}$
$\Gamma({{\mathit D}^{+}}$ $\rightarrow$ ${{\mathit K}_S^0}$ ${{\mathit \rho}^{+}})/\Gamma({{\mathit D}^{+}}$ $\rightarrow$ ${{\mathit K}_S^0}$ ${{\mathit \pi}^{+}}{{\mathit \pi}^{0}})$
$\Gamma_{73}/\Gamma_{72}$
$\Gamma({{\mathit D}^{+}}$ $\rightarrow$ ${{\mathit K}_S^0}$ ${{\mathit \rho}{(1450)}^{+}}$ , ${{\mathit \rho}^{+}}$ $\rightarrow$ ${{\mathit \pi}^{+}}{{\mathit \pi}^{0}})/\Gamma({{\mathit D}^{+}}$ $\rightarrow$ ${{\mathit K}_S^0}$ ${{\mathit \pi}^{+}}{{\mathit \pi}^{0}})$
$\Gamma_{74}/\Gamma_{72}$
$\Gamma({{\mathit D}^{+}}$ $\rightarrow$ ${{\overline{\mathit K}}^{*}{(892)}^{0}}{{\mathit \pi}^{+}}$ , ${{\overline{\mathit K}}^{*}{(892)}^{0}}$ $\rightarrow$ ${{\mathit K}_S^0}$ ${{\mathit \pi}^{0}}$ $)/\Gamma({{\mathit D}^{+}}$ $\rightarrow$ ${{\mathit K}_S^0}$ ${{\mathit \pi}^{+}}{{\mathit \pi}^{0}})$
$\Gamma_{75}/\Gamma_{72}$
$\Gamma({{\mathit D}^{+}}$ $\rightarrow$ ${{\overline{\mathit K}}_{{{0}}}^{*}{(1430)}^{0}}{{\mathit \pi}^{+}}$ , ${{\overline{\mathit K}}_{{{0}}}^{*0}}$ $\rightarrow$ ${{\mathit K}_S^0}$ ${{\mathit \pi}^{0}})/\Gamma({{\mathit D}^{+}}$ $\rightarrow$ ${{\mathit K}_S^0}$ ${{\mathit \pi}^{+}}{{\mathit \pi}^{0}})$
$\Gamma_{76}/\Gamma_{72}$
$\Gamma({{\mathit D}^{+}}$ $\rightarrow$ ${{\overline{\mathit K}}_{{{0}}}^{*}{(1680)}^{0}}{{\mathit \pi}^{+}}$ , ${{\overline{\mathit K}}_{{{0}}}^{*0}}$ $\rightarrow$ ${{\mathit K}_S^0}$ ${{\mathit \pi}^{0}})/\Gamma({{\mathit D}^{+}}$ $\rightarrow$ ${{\mathit K}_S^0}$ ${{\mathit \pi}^{+}}{{\mathit \pi}^{0}})$
$\Gamma_{77}/\Gamma_{72}$
$\Gamma({{\mathit D}^{+}}$ $\rightarrow$ ${{\overline{\mathit \kappa}}^{0}}{{\mathit \pi}^{+}}$ , ${{\overline{\mathit \kappa}}^{0}}$ $\rightarrow$ ${{\mathit K}_S^0}$ ${{\mathit \pi}^{0}})/\Gamma({{\mathit D}^{+}}$ $\rightarrow$ ${{\mathit K}_S^0}$ ${{\mathit \pi}^{+}}{{\mathit \pi}^{0}})$
$\Gamma_{78}/\Gamma_{72}$
$\Gamma({{\mathit D}^{+}}$ $\rightarrow$ ${{\mathit K}_S^0}$ ${{\mathit \pi}^{+}}{{\mathit \pi}^{0}}$ $~$ nonresonant$)/\Gamma({{\mathit D}^{+}}$ $\rightarrow$ ${{\mathit K}_S^0}$ ${{\mathit \pi}^{+}}{{\mathit \pi}^{0}})$
$\Gamma_{79}/\Gamma_{72}$
$\Gamma({{\mathit D}^{+}}$ $\rightarrow$ ${{\mathit K}_S^0}$ ${{\mathit \pi}^{+}}{{\mathit \pi}^{0}}$ nonresonant and ${{\overline{\mathit \kappa}}^{0}}{{\mathit \pi}^{+}})/\Gamma({{\mathit D}^{+}}$ $\rightarrow$ ${{\mathit K}_S^0}$ ${{\mathit \pi}^{+}}{{\mathit \pi}^{0}})$
$\Gamma_{80}/\Gamma_{72}$
$\Gamma({{\mathit D}^{+}}$ $\rightarrow$ ( ${{\mathit K}_S^0}$ ${{\mathit \pi}^{0}}$) $_{\mathit S-{\mathrm {wave}}}$ ${{\mathit \pi}^{+}})/\Gamma({{\mathit D}^{+}}$ $\rightarrow$ ${{\mathit K}_S^0}$ ${{\mathit \pi}^{+}}{{\mathit \pi}^{0}})$
$\Gamma_{81}/\Gamma_{72}$
$\Gamma({{\mathit D}^{+}}$ $\rightarrow$ ${{\mathit K}_S^0}$ ${{\mathit \pi}^{+}}{{\mathit \pi}^{0}})/\Gamma_{\text{total}}$
$\Gamma_{72}/\Gamma$