Search for Dibaryon Resonances in the Reactions dd → ddππ and pd → pdππ

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.