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An external static magnetic field with its strength B~10T may result in thelaser wake wave-breaking upon changing the electron motion in the vicinity ofmaximal density ramp of a wave period. This, as shown by numerical simulations,can change the resonance character of the electron self-injection in the laserwake-field; a total charge loaded in the acceleration phase of laser pulse wakecan be controlled by a proper choice of the magnetic field strength.

Electron self-injection for the acceleration in laser-pulse-wakes in the presence of a `strong' external magnetic field