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The resonance peak observed by WASA@COSY in the total cross section of the reaction of two-pion production in the isoscalar channel of the reaction pn → dπ0π0 [1] at invariant mass 2380 MeV with the width of 70 MeV, is considered as one of the most realistic candidate to the dibaryon resonance. The isospin of this resonance is I=0 and spin-parity JP=3+. A similar resonance structure was observed by ANKE@COSY in the differential cross section of the two-pion production reaction pd → pdππ at beam energies 0.8-2.0 GeV with high transferred momentum to the deuteron at small scattering angles of the final proton and deuteron [2]. The kinematic of this reaction differ considerably from that in Ref. [1] and two final pions were not registered, nevertheless in the distribution over the invariant mass Mdππ of the final dππ system of the reaction pd → pdππ the resonance peak was also observed at Mdππ ≈ 2.38 GeV [2]. In order to explain these data, in Refs. [3] the two-resonance model of the reaction pn → dπ0π0 [4] was applied by inclusion of the t-channel σ-meson exchange between the proton and deuteron in the reaction pd → pdππ. Later, the reaction γ d→ dπ0π0 was studied in Ref. [5] and an indication to excitation of isoscalar dibaryon resonance D03(2380) and more heavier dibaryons d with masses 2470 MeV and 2630 MeV was found. These resonances , if they do exist, can be excited also in the reactions dd→ dd and dd→npd* at SPD NICA collider. We estimated [6] the differential cross sections of the reactions pd → pdππ and dd → ddππ assuming excitaion of the D03(2380) dibaryon by σ- meson exchange in t-channel and calculated distributions over the invariant mass of the final dππ system for these reactions .
[1] P. Adlarson et al. (WASA@COSY Collab.), Phys. Rev. Lett. 106, 242302 (2011).
[2] V. I. Komarov et al. (ANKE@COSY Collab.), Eur. Phys. J. A (2018) 54: 206.
[3] Yu. Uzikov, N. Tursunbayev, EPJ Web of Conf. 204, 08010 (2019).
[4] M.N. Platonova, V.I. Kukulin, Phys. Rev. C 87, 025202 (2013).
[5] T.C. Jude et al., Phys. Lett. B 832 (2022) 137277.
[6] Yu.N. Uzikov, A.A.Temerbayev, N.T. Tursunbayev, Phys. Part. Nucl., 57, № 5 (2026) 1026.
