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We discuss different interpretations of peaks observed a few years ago by Tatischeff et al. in missing mass spectra of the reaction , which were declared as new exited nucleon states with small masses. A study of the possible production of such states in the process $\gamma p->pi^+N^*->pi^+ +\gamma\gamma n\gamma\gamma n$ is proposed. It is shown that the data, obtained recently at MAMI-B, can allow to analyze this process and to get information about an existence of exited nucleon states with small masses.

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