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The first attempt is made to provide a quantitative theoreticalinterpretation of the WASA-at-COSY experimental data on the basic double-pionproduction reactions $pn \to d \pi^0\pi^0$ and $pn \to d \pi^+\pi^-$ in theenergy region $T_p =1$ - $1.3$ GeV [P. Adlarson et al., Phys. Lett. B 721, 229(2013)]. The data are analyzed within a model based on production and decay ofan intermediate $I(J^P)=0(3^+)$ dibaryon resonance $\mathcal{D}_{03}$ (denotedalso as $d^*(2380)$). The observed decrease of the near-threshold enhancement(the so-called ABC effect) in the reaction $pn \to d \pi^+\pi^-$ in comparisonto that in the reaction $pn \to d \pi^0\pi^0$ is explained (at least partially)to be due to isospin symmetry violation in the two-pion decay of anintermediate near-threshold scalar $\sigma$ meson emitted from the$\mathcal{D}_{03}$ dibaryon resonance under conditions of the partial chiralsymmetry restoration.

Isospin symmetry breaking in double-pion production in the region of ${d^*(2380)}$ and the scalar ${\sigma}$ meson