A Wavelet-Based Approach to UHECR Arrival Direction Analysis

Physics

Scientific paper

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Scientific paper

A Mexican Hat wavelet is used to analyze the arrival directions of ultra-high energy cosmic rays (UHECRs) detected with the Yakutsk array. The purpose is a search for possible deviation from expected isotropic distribution in right ascension and on the celestial sphere. Necessary limitations are discussed in order to adapt an unb ounded wavelet to a circle and sphere. As a result, significant anisotropy is found in the energy range between 1019 and 3.16 × 1019 eV: the chance probability for the isotropic distribution to have the wavelet amplitude exceeding observed one is less than 0.5%. The wavelet center is (2.3±1.3) h in right ascension, 52.50 ± 7.50 in declination; 100 < R < 200 are the scale parameter limits. The result relevance is stressed by coincident evidences of anisotropy in the same energy range drawn from the Yakutsk array data using different methods of analysis wavelet, harmonic and galactic latitude distribution.

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