Large scale magnetic fields and the number of cosmic ray sources above the Greisen-Zatsepin-Kuzmin cutoff
Résumé
We present numerical simulations for the two-point correlation function and the angular power spectrum of nucleons above 1019 eV injected by a discrete distribution of continuously emitting sources which follow a simple approximation to the profile of the Local Supercluster. We develop a method to constrain the number of sources necessary to reproduce the observed sky distribution of ultrahigh energy cosmic rays, as a function of the strength of the large scale cosmic magnetic fields in the Local Supercluster. While for fields B<~0.05 μG the Supercluster source distribution appears inconsistent with the data for any number of sources, fields of strength B~=0.3 μG could reproduce the observed data with a number of sources around 10.
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