A Bayesian analysis of correlation between AGNs and ultra high energy cosmic rays detected by the Telescope Array Experiment

Ultra high energy cosmic rays over $10^{19}eV$ are thought to come from very powerful objects such as Active Galatic Nucleus(AGN). However, the number of AGNs and ultra high energy cosmic rays is not large enough to experimentally declare the correlation between them. We use Watson and Mortlock’s bayesian statistical method to compare the arrival direction data of large ground arrays such as the Telescope Array experiment with AGNs in the Veron-Cety and Veron (VCV) catalog. We also test the linearity using toy monte carlo simulation. In this presentation, we present the probability that the TA’s cosmic rays come from AGNs