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ZhETF, Vol. 127, No. 4, p. 744 (April 2005)
(English translation - JETP, Vol. 100, No. 4, p. 656, April 2005 available online at )

Neronov A., Tinyakov P., Tkachev I.

Received: October 15, 2004

PACS: 98.70.Sa, 95.30.Gv, 98.62.Js, 98.70.Rz

DJVU (116.1K) PDF (292.5K)

We numerically study particle acceleration by the electric field induced near the horizon of a rotating supermassive (M\sim 10^9-10^{10}M_{\odot}) black hole embedded in the magnetic field B. We find that acceleration of protons to the energy E\sim 10^{20} eV is possible only at extreme values of M and B. We also find that the acceleration is very inefficient and is accompanied by a broad-band MeV-TeV radiation whose total power exceeds the total power emitted in ultra-high energy cosmic rays (UHECR) at least by a factor of 1000. This implies that if O(10) nearby quasar remnants were sources of proton events with energy E>1020 eV, then each quasar remnant would, e.g., overshine the Crab nebula by more than two orders of magnitude in the TeV energy band. Recent TeV observations exclude this possibility. A model in which O(100) sources are situated at 100-1000 Mpc is not ruled out and can be experimentally tested by present TeV γ-ray telescopes. Such a model can explain the observed UHECR flux at moderate energies E\approx (4\mbox{-}5)\cdot 10^{19} eV.

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