Abstract. Several of the models for origin of the highest energy cosmic rays also predict significant neutrino fluxes. A common factor of the models is that they must provide sufficient power to supply the observed energy in the extragalactic component of the cosmic radiation. The assumption that a comparable amount of energy goes into high-energy neutrinos allows a model-independent estimate of the neutrino signal that may be expected.
I INTRODUCTIONAn important argument in favor of supernova explosions as the power source for galactic cosmic rays is the fact that kinetic energy of the ejecta supplies the right amount of power. The energy content of the cosmic radiation iswhere φ(E) = dN/dE is the measured local flux of cosmic rays corrected for the effect of solar modulation. In the source region the average energy density in cosmic rays is related to the average production rate per unit volume, q(E), bywhere τ esc is the characteristic residence time of cosmic rays in the source region (for example the disk of the galaxy). The characteristic time, τ esc (E), decreases with energy [1] so that the observed spectrum is somewhat steeper than the source spectrum.Given an estimate of τ esc and the rate of supernova explosions, it is possible to estimate the fraction of energy of supernova explosions needed to maintain the galactic cosmic rays in steady state, assuming that supernovae provide the power, q(E). Assuming a rate of three supernovae per century with a kinetic energy of 10 51 1) Research supported in part by NASA grant NAG5-7009