Astronomy and Astrophysics – Astrophysics
Scientific paper
2007-11-22
JETP Lett.88:553-557,2009
Astronomy and Astrophysics
Astrophysics
v2: 5 pages, 3 figures; shortened, title changed, matches version to be published
Scientific paper
10.1134/S0021364008210017
We discuss the GZK horizon of protons and present a method to constrain the injection spectrum of ultrahigh energy cosmic rays (UHECRs) from supposedly identified extragalactic sources. This method can be applied even when only one or two events per source are observed and is based on the analysis of the probability for a given source to populate different energy bins, depending on the actual CR injection spectral index. In particular, we show that for a typical source density of $4\times 10^{-5} Mpc^{-3}$, a data set of 100 events above $6\times 10^{19}$ eV allows one in 97% of all cases to distinguish a source spectrum $dN/dE\propto E^{-1.1}$ from one with $E^{-2.7}$ at 95% confidence level.
Kachelriess Michael
Parizot Etienne
Semikoz Dmitri V.
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