The observational data corresponding to the assumption about emission of high-energy photons by ball lightning and, in particular, to the assumption about the high radiation hazard of some ball lightning are presented. The main points of the ball lightning model explaining these data are also presented. According to the model, ball lightning has a core consisting of clouds of electrons and almost totally ionized ions which oscillate with respect to each other. The possibility and expedience to check these assumptions and the model, in particular, to create ball lightning in the experiments with ordinary or rocket-triggered lightning, are considered.