Testing the homogeneity and isotropy of the highest- energy cosmic rays for clues as to their origin

Details Testing the homogeneity and isotropy of the highest- energy cosmic rays for clues as to their origin Testing the homogeneity and isotropy of the highest- energy cosmic rays for clues as to their origin

Oct 2003

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2003phdt.........2o&link_type=abstract

Thesis (PhD). THE UNIVERSITY OF TEXAS AT DALLAS, Source DAI-B 64/04, p. 1766, Oct 2003, 125 pages.

Physics

Scientific paper

The sources for the highest energy particles yet observed remain unknown. In order to investigate possible structure in the source distribution, Monte Carlo methods are employed to test the homogeneity and isotropy of the EHECR arrival direction distribution. The Landy-Szalay (LS) estimator for the correlation function, which is ideally suited to the statistically small sample of EHECR events, is applied to the events observed by the AGASA ground array. The LS estimator confirms the significance of the observed small scale clustering and is shown to be superior to the more commonly used form, w(θ) = DD/RR-1. A unique method is developed for estimating the clustering significance for the configuration of multiplets that are present in the combined set of events from AGASA, Yakutsk, Haverah Park and Volcano Ranch. It is shown that earlier analytical and numerical techniques have overestimated the joint multiplet configuration significance. A new form for the cross correlation estimator is introduced in analogy with the LS correlation estimator. When applied to the AGASA events subdivided by energy, the new estimator suggests three distinct energy partitioned distributions. The set of events with energies 5 < E < 8 × 1019 possess correlations with the Supergalactic plane. Possible correlations with Abell clusters and blazars objects are also investigated using the LS cross correlation estimator. Preliminary analysis indicates positive correlations with Abell clusters at redshifts z < .08 for the E > 8 × 1019 eV group of AGASA events.

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