ON THE FLUXES OF INVERSE COMPTON GAMMA-RAYS EXPECTED FROM THE CRAB-NEBULA

The inverse Compton (IC) scattering of relativistic electrons is consi dered as the most probable mechanism for production of gamma-rays abov e 1 GeV in the Crab Nebula. However, while for the supposed average ma gnetic field in the Crab Nebula B-0 approximate to 3 10(-4) G the IC g amma-ray flux at TeV energies F-IC(> 1 TeV) approximate to 10(-11) cm( -2)s(-1) agrees with the measured one, the predicted flux of GeV gamma -rays, F-IC(> 1 GeV) approximate to 10(-8) cm(-2)s(-1), is by factor o f 5 below of the flux reported by EGRET. We discuss other mechanisms f or explanation of the observed gamma-radiation at GeV energies. We pro pose a hypothesis that the GeV gamma-ray flux observed by EGRET is due to enhancement of the bremsstrahlung of the ''radio'' electrons parti ally captured in the dense filaments in the Crab Nebula.