  We show that neutrino-driven pulsar kicks can increase the energy of the
supernova shock. The observed large velocities of pulsars are believed to
originate in the supernova explosion, either from asymmetries in the ejecta or
from an anisotropic emission of neutrinos (or other light particles) from the
cooling neutron star. In this paper we assume the velocities are caused by
anisotropic neutrino emission and study the effects of these neutrino-driven
kicks on the supernova explosion. We find that if the collapsed star is
marginally unable to produce an explosion, the neutrino-driven mechanisms can
drive the convection to make a successful explosion. The resultant explosion is
asymmetric, with the strongest ejecta motion roughly in the direction of the
neutron star kick. This is in sharp contrast with the ejecta-driven mechanisms,
which predict the motion of the ejecta in the opposite direction. This
difference can be used to distinguish between the two mechanisms based on the
observations of the supernova remnants.
