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تسجيل مستخدم جديدOn the maximum energy of non-thermal particles in the primary hotspot of Cygnus A
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We study particle acceleration and magnetic field amplification in the primary hotspot in the northwest jet of radiogalaxy Cygnus A. By using the observed flux density at 43 GHz in a well resolved region of this hotspot, we determine the minimum value of the jet density and constrain the magnitude of the magnetic field. We find that a jet with density greater than $5times 10^{-5}$ cm$^{-3}$ and hotspot magnetic field in the range 50-400 $mu$G are required to explain the synchrotron emission at 43 GHz. The upper-energy cut-off in the hotspot synchrotron spectrum is at a frequency < $5times 10^{14}$ Hz, indicating that the maximum energy of non-thermal electrons accelerated at the jet reverse shock is $E_{e, rm max} sim 0.8$ TeV in a magnetic field of 100 $mu$G. Based on the condition that the magnetic-turbulence scale length has to be larger than the plasma skin depth, and that the energy density in non-thermal particles cannot violate the limit imposed by the jet kinetic luminosity, we show that $E_{e,rm max}$ cannot be constrained by synchrotron losses as traditionally assumed. In addition to that, and assuming that the shock is quasi-perpendicular, we show that non-resonant hybrid instabilities generated by the streaming of cosmic rays with energy $E_{e, rm max}$ can grow fast enough to amplify the jet magnetic field up to 50-400 $mu$G and accelerate particles up to the maximum energy $E_{e, rm max}$ observed in the Cygnus A primary hotspot.
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