  The reaction pd-->pX at 305 MeV is studied with the aim to search for
supernarrow dibaryons, the decay of which into two nucleons is forbidden by the
Pauli exclusion principle. The experiment was carried out at the Moscow Meson
Factory using the spectrometer TAMS, which detected the scattered proton in
coincidence with another charged particle (either p or d) from the decay of
particle X. The detection of the second charged particle at angles close to the
emission angle of particle X with mass M allows to suppress essentially the
contribution of background processes and to increase the relative contribution
of a possible production of the dibaryons under consideration. Narrow peaks in
missing mass spectra have been observed at 1905 and 1924 MeV with the
statistical significance of ~4.8 SD. The widths of both observed peaks
correspond to the experimental resolution (3 MeV). Comparison of the obtained
data with theoretical predictions leads to the conclusion that the peak found
at 1905 MeV most likely corresponds to a supernarrow dibaryon with the isotopic
spin equal to 1. The possible origin of the peak at 1924 MeV is also discussed.
