Efficiency of Centrifugal Mechanism in Producing PeV Neutrinos From Active Galactic Nuclei

A several-step theoretical model is constructed to trace the origin of ultra high energy (UHE) $[1-2]$PeV neutrinos detected, recently, by the IceCube collaboration. Protons in the AGN magnetosphere, experiencing different gravitational centrifugal force, provide free energy for the parametric excitation of Langmuir waves via a generalized two-stream instability. Landau damping of these waves, outside the AGN magnetosphere, can accelerate protons to ultra high energies. The ultimate source for this mechanism, the Langmuir-Landau-Centrifugal-Drive (LLCD), is the gravitational energy of the compact object. The LLCD generated UHE protons provide the essential ingredient in the creation of UHE neutrinos via appropriate hadronic reactions; protons of energy~ $10^{17}$eV can be generated in the plasmas surrounding AGN with bolometric luminosities of the order of $10^{43}$ergs s$^{-1}$. By estimating the diffusive energy flux of extragalactic neutrinos in the energy interval $[1-2]$PeV, we find that an acceptably small fraction $0.003\%$ of the total bolometric luminosity will suffice to create the observed fluxes of extragalactic ultra-high energy neutrinos.