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Based on tests of a tentative detector for observing geo-synchrotron hardX-rays generated by primary electrons, we study the feasibility of probingcosmic electrons above a few TeV to over 10 TeV. Such high energy electrons areexpected to give proof of sources near the Earth (e.g. supernova remnants suchas Vela: age < ~10^5 years located within <~1kpc). The idea itself is ratherold; a high energy electron emits synchrotron X-rays successively in thegeomagnetic field and thus gives several X-rays aligned on a meter scale. Thisfeature is a clue to overcome the background problem encountered in othertraditional observation methods. We critically examine the feasibility of thisapproach assuming a satellite altitudes observation, and find that it isdifficult to derive a precise energy spectrum of electrons but is possible toget a clear signal of the existence of several TeV electrons if the flux iscomparable to the level predicted by a class of plausible models. For suchobservations, an exposure >1 m^2year would be needed. It would be attractive toincorporate the present scheme in the gamma-ray burst observations.

Feasibility study of probing the high energy end of the primary cosmic electron spectrum by detecting geo-synchrotron X-rays