  The analysis of new experimental data, obtained at the Proton Linear
Accelerator of INR, with the aim to search for supernarrow dibaryons in the
$pd\to ppX_1$ and $pd\to pdX_2$ reactions is presented. Narrow peaks with an
experimental width of 5 MeV at masses of 1904$\pm 2$, 1926$\pm 2$, and 1942$\pm
2$ MeV have been observed in missing mass $M_{pX_1}$ spectra. In the missing
mass $M_{X_1}$ spectra, the peaks at $M_{X_1}=966\pm 2$, 986$\pm 2$, and
1003$\pm 2$ MeV have been found. The analysis of the data obtained leads to the
conclusion that the observed peaks in $M_{pX_1}$ spectra are most likely
supernarrow dibaryons, the decay of which into two nucleons is forbidden by the
Pauli exclusion principle. An alternative interpretation of the spectra by
assuming a decay of the supernarrow dibaryons in "exotic baryon states" with
masses $M_{X_1}$ is discussed.
