The reaction pp → pp2γ, proposed earlier to probe for the NN–decoupled dibaryon resonances, has been studied by the DIB2γ Collaboration (JINR) and their preliminary data seem to give evidence for the resonance effect at about 1920 MeV. We discuss some other two-photon processes: the double radiative capture reaction in pionic deuterium, photoabsorption sum rules and the nuclear Compton scatteri...