Reconciling the ultra-high energy cosmic ray spectrum with Fermi shock acceleration

Details Reconciling the ultra-high energy cosmic ray spectrum with Fermi shock acceleration Reconciling the ultra-high energy cosmic ray spectrum with Fermi shock acceleration

2005-10-06

arxiv.org/abs/astro-ph/0510188v2

Phys.Lett.B634:143-147,2006

Astronomy and Astrophysics

Astrophysics

v2: extended discussion

Scientific paper

10.1016/j.physletb.2006.01.009

The energy spectrum of ultra-high energy cosmic rays (UHECR) is usually calculated for sources with identical properties. Assuming that all sources can accelerate UHECR protons to the same extremely high maximal energy E_max > 10^{20} eV and have the steeply falling injection spectrum 1/E^{2.7}, one can reproduce the measured cosmic ray flux above E > 10^{18} eV. We show that relaxing the assumption of identical sources and using a power-law distribution of their maximal energy allows one to explain the observed UHECR spectrum with the injection 1/E^2 predicted by Fermi shock acceleration.

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