distribution in the [*B, V, R*]{} fluxes. That is no blue optical counterparts by $ B-V$ and $
V-R$ (for $ S/N > 4$) were found.

The ROSAT HRI observation of the GRB790613 field with a 13168 s exposure did not detect any objects in this error box and showed that the black body temperature must be less than 150000 K for the objects of the neutron star type at a distance less than 100 pc (ROSAT X–ray Images, 1994a; ROSAT Guest Observer Program, 1994b). Our observation with ROSAT data can be interpreted as the absence of a single compact object with $ R  =  10\ \rm km$ and $
T_{bb}\approx 10^{5}\rm\ K$ up to a distance of $  \approx  40\ \rm  pc$ (Fig.1) and accordingly, the energy of GRB 790613 event is higher than $ (4 - 9.5) \cdot10^{35}\ \rm erg$. Nevertheless, if the value $B\approx25.2$ is assumed to be the photometric limit, at which the blue object with $B-V\approx -0.3, V-R \ga -0.1$ can yet be classified (by two color indices at once!) by our data (bearing in mind an object analogous in brightness and color to Geminga optical candidate). Then from the X-ray $3\sigma$-limit for deep observations 