The GZK horizon and constraints on the cosmic ray source spectrum from observations in the GZK regime |
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Authors: | M?Kachelrie? E?Parizot D?V?Semikoz |
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Institution: | (1) Institutt for fysikk, NTNU, N-7491 Trondheim, Norway;(2) APC, F-75205 Paris, France;(3) CERN Theory Division, CH-1211 Geneva 23, Switzerland;(4) Institute for Nuclear Research, Russian Academy of Sciences, Moscow, 117312, Russia |
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Abstract: | 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 cosmic ray injection spectral index. In particular, we show that for a typical source density of 4
× 10−5 Mpc−3, a data set of 100 events above 6 × 1019 eV allows one in 97% of all cases to distinguish a source spectrum dN/dE ∝ E
−1.1 from one with E
–2.7 at 95% confidence level.
The article is published in the original. |
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Keywords: | |
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