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Wakefield Acceleration in a Jet from a Neutrino Driven Accretion Flow around a Black Hole

We have investigated electro-magnetic (EM) wave pulses in a jet from a neutrino driven accretion flow (NDAF) around a black hole (BH). NDAFs are massive accretion disks whose accretion rates of $\dot{M}\approx 0.01 - 10 \mathrm{M}_\odot/\mathrm{s}$ for stellar-mass BHs. Such an extreme accretion may produce a collimated relativistic outflow like a magnetically driven jet in active galactic nuclei and micro-quasars. When we consider strong toroidal magnetic field stranded in the inner-region of a NDAF disk and magnetic impulses on the jet, we find that they lead to the emanation of high energy emissions for gamma-ray bursts as well as high energy cosmic rays. When Alfvénic wave pulses are generated by episodic immense accretions, it propagates along the large-scale structured magnetic field in the jet. Once the Alfvénic wave pulses reach at nearly the speed of light in the underdense condition, it turns into EM wave pulses which produce plasma wakes behind them. These wakefields exert a collective accelerating force synchronous to the motion of particles. As a result, the wakefield acceleration premises various observational signatures, such as pulsating bursts of high energy gamma-rays from accelerated electrons, pulses of neutrinos from accelerated protons, and protons with maximum energies beyond $10^{20}~\mathrm{eV}$.