Physical Sciences and Mathematics Commons^™

"Super Gzk" Particles In A Classic Kramers' Diffusion-Over-A-Barrier Model. I. The Case Of Protons, S. T. Alnussirat, A. F. Barghouty, G. M. Webb, P. L. Biermann

Faculty Publications

In interactions of ultra-high-energy cosmic ray (UHECR) protons with cosmic microwave background photons, we focus in this work on photopion production reactions and the effects of the measured, broad, energy-loss distributions in these reactions on the evolution of the protons' density functions in energy space. We rely on a Fokker-Planck transport equation in energy space whose transport coefficients are calculated using laboratory measurements. We also derive a Fokker-Planck potential that accounts for both systematic (drift) and stochastic (dispersive) energy losses due to photopion production reactions. Our results show that dispersive energy losses have significant effects on estimating the protons' horizon …