Statistics of cluster multiplicity and the nature of UHE cosmic ray sources

Abstract

We study in detail the properties of clusters of ultra high energy cosmic ray events, looking in particular to their angular correlation function, to the relative frequency of clusters with different multiplicities (e.g. doublets vs. triplets or quadruplets), as well as the way in which these quantities should evolve for different ultra high energy cosmic rays source scenarios as a function of the experimental exposure achieved. We identify some useful tools which can help to characterise the nature of the cosmic ray sources in a more precise way after a modest increase in statistics will be achieved in the very near future, even before strong signals from individual sources become eventually observable.

arXiv comment19 pp, 6 ps figures

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Cited by in corpus (6)

• High-energy cosmic-ray nuclei from high- and low-luminosity gamma-ray bursts and implications for multi-messenger astronomy
• Implications of Ultra-High-Energy Cosmic Rays for Transient Sources in the Auger Era
• Deflections of cosmic rays in a random component of the Galactic magnetic field
• Ultra-high energy cosmic rays from a finite number of point sources
• Clustering properties of ultrahigh energy cosmic rays and the search for their astrophysical sources
• A global autocorrelation study after the first Auger data: impact on the number density of UHECR sources