Enhancement in low-energy region ofa proton flux associated with interplanetary shock waves

We study time evolution of an energy spectrum of a proton flux in the range of 47 – 4750 keV for the energeticparticle event occurred on 255 DOY in 1999, which we consider as one of typical diffusive acceleration events associated with interplanetary shocks and irrespective of large X-ray solar flares. Fast enhancement during evolution is found in the range of less than about 0.5 MeV. Our previous numerical simulations using Stochastic Differential Equation method could not show this behavior, although we obtained results showing a power law energy spectrum, which suggesting that energetic particles are accelerated diffusively by shock waves, the first-order Fermi acceleration. We consider that less than 0.5 MeV protons need to exist to explain behavior of the observational energy spectrum and perform numerical simulations in order to investigate proper injection models for this event.