Resonance $d^*(2380)$ and higher isospin states

A new isoscalar state in the two-baryon system with mass 2380 MeV and width 80 MeV denoted now $d^*(2380)$ has been detected in the experiments at the Juelich Cooler Synchrotron (COSY). Existence or influence of states with higher isospin is a subject of the experiment for studing of the $\pi^+\pi^-$ production in $pp$ collisions. Calculations taking into account isotensor dibaryon resonance in the $\Delta N$ with $I(J^p) = 2(1^+)$ provide a good description of the $pp\to pp\pi^+\pi^-$ total and differential cross sections.