Аннотация
The isoscalar dibaryon resonance $${{D}_{{03}}}(2380)$$ , discovered at WASA@COSY in the total cross section of the reaction $$pn \to d{{\pi }^{0}}{{\pi }^{0}}$$ and in the elastic pn scattering in the energy range corresponding to the invariant mass of the pn system of 2380 MeV, can reveal itself in the $$pd \to pd\pi \pi $$ and $$dd \to dd\pi \pi $$ reactions at higher energies due to deuteron excitation in the $$t$$ channel. In this paper, the cross sections of these reactions are estimated based on the model of the reaction $$pn \to d{{\pi }^{0}}{{\pi }^{0}}$$ , proposed earlier by Platonova and Kukulin.