Using modularized NaI(T1) detectors, we have carried out a high-statistics measurement of inclusive y-ray spectra from jid annihilation at rest separately for each charge multiplicity of the final state. We have not seen, at statistical significance above 40, any monochromatic y-ray peaks, which may be assigned to baryonium production pp or jin + yB or to RNN bound-state production jid + y ( R N N ) . The 4u upper limit for baryonium production per annihilation varied between lo-' and lop4 depending on baryonium mass of 1700 to 600 MeV/c2 and on the charge multiplicity. At (2-3)u levels, however, five peaks were observed and three of them are located at the same position with the similar (2-3)u peaks observed in pp + y B and jip +rroB.