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A study of analysis method for the identification of UHECR source type

The autocorrelation analysis using the arrival direction of Ultra High Energy Cosmic Rays (UHE-CRs) has been previously reported by the Telescope Array (TA) experiment. It is expected that the autocorrelation function reﬂects the source distribution. We simulate the expected arrival direction distribution of the cosmic rays using the catalogs of candidate sources. We take into account random deﬂection in the magnetic ﬁelds, with the magnitude of deﬂection determined by the charge and energy of the cosmic rays, coherence length and magnitude of the extragalactic magnetic ﬁeld (EGMF), and by distance to source. In addition, in order to compare with the results of TA, we consider the TA exposure. We compare the autocorrelation of the arrival directions corresponding to diﬀerent source catalogs with the isotropic distribution. We calculate the autocorrelation function for each type of source candidates using this procedure. We will discuss the ability of this method to identify the source type of UHECRs.