Reconciling the ultra-high energy cosmic ray spectrum with Fermi shock acceleration
arXiv:astro-ph/0510188 · doi:10.1016/j.physletb.2006.01.009
Abstract
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.
v2: extended discussion
References in corpus (5)
- Dip in UHECR spectrum as signature of proton interaction with CMB
- Extra-galactic magnetic fields and the second knee in the cosmic-ray spectrum
- Lorentz Invariance Violation and the Spectrum and Source Power of Ultrahigh Energy Cosmic Rays
- On the shape of the UHE cosmic ray spectrum
- Propagation and Signatures of Ultra High Energy Cosmic Rays
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- The Role of Structured Magnetic Fields on Constraining Properties of Transient Sources of Ultra-high-energy Cosmic Rays
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- Describing the Observed Cosmic Neutrinos by Interactions of Nuclei with Matter
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- Non-Universal Spectra of Ultra-High Energy Cosmic Ray Primaries and Secondaries in a Structured Universe
- Experimental constraints on the astrophysical interpretation of the cosmic ray Galactic-extragalactic transition region
- Bounds on the origin of extragalactic ultrahigh energy cosmic rays from the IceCube neutrino observations
- Impact of the Magnetic Horizon on the Interpretation of the Pierre Auger Observatory Spectrum and Composition Data
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- Towards a model of population of astrophysical sources of ultra-high-energy cosmic rays
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