FCNC processes of charmed hadrons with invisible scalar

We study the invisible scalar of $S$ in charmed meson and baryon decays with flavor-changing neutral currents (FCNCs) based on the model-independent effective Lagrangian between the quarks and invisible scalar. From the bounds of the coupling constants extracted from the recent BES III experiment on the decay of $D^0\to {\pi }^0\bar{\nu }\nu$, we predict that the decay branching ratios of $D^{+}\to {\pi }^{+}S$, $D_s^{+}\to K^{+}S$, ${\mathrm{\Lambda }}_c\to pS$, ${\mathrm{\Xi }}_c^{0(+)}\to {\mathrm{\Sigma }}^{0(+)}S$, and ${\mathrm{\Xi }}_c^0\to \mathrm{\Lambda }S$ can be as large as $10.6,2.53,2.39,0.963,5.77$, and $2.92\times {10}^{-4}$ with $m_{{}_S}\approx 1.1\mathrm{G}\mathrm{e}\mathrm{V}$, respectively. Some of these decay modes are accessible to the ongoing experiments, such as BES III, LHCb and Belle II, as well as the future ones, such as FCC-ee.