On the origin of the upper cutoff in the solar proton spectrum

Physics

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Energy Spectra, Particle Acceleration, Proton Energy, Solar Protons, Cut-Off, Field Strength, Magnetic Effects, Mean Free Path, Stochastic Processes

Scientific paper

The problem of the origin of the upper cutoff in the spectrum of multi-GeV solar protons is examined. This analysis concerns the case in which the upper cutoff is determined at the source level by a stochastic mechanism of acceleration. The operation of the random process at the solar source is justified in terms of a small length scale of the fluctuations of the magnetic field. The deviation of the particle spectrum from a perfect power law is explained by a discontinuity in the behavior of the mean free path of particles for acceleration. The assumption that this random acceleration step depends highly on the medium density and magnetic field strength leads one to estimate a maximum rigidity greater than the measured value. It is found that the upper cutoff is imposed not by the linear dimension of the source but by this characteristic length scale of turbulence therein and that the source dimension is somewhat smaller than is usually thought.

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