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Phys. Rev. Lett. 85, 1154–1157 (2000)

Statistics of Clustering of Ultrahigh Energy Cosmic Rays and the Number of Their Sources

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S. L. Dubovsky1, P. G. Tinyakov1,2, and I. I. Tkachev3
1Institute for Nuclear Research, 60th October Anniversary prospect 7a, 117312 Moscow, Russia
2Institute of Theoretical Physics, University of Lausanne, CH-1015 Lausanne, Switzerland
3Institute for Theoretical Physics, ETH-Hönggerberg, CH-8093 Zurich, Switzerland

Received 20 January 2000; published in the issue dated 7 August 2000

Observation of clustering of ultrahigh energy cosmic rays (UHECR) suggests that they are emitted by compact sources. Assuming small ( <3°) deflection of UHECR during the propagation, the statistical analysis of clustering allows an estimate of the spatial density of the sources h*, including those not yet observed. When applied to astrophysical models involving extragalactic sources, the estimate based on 14 events with energy E>1020eV gives h*6×10-3Mpc-3. With increasing statistics, this estimate may lead to exclusion of some models.

© 2000 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.85.1154
DOI:
10.1103/PhysRevLett.85.1154
PACS:
98.70.Sa