Assuming that the neutrino luminosity from the neutron star core is sufficiently high to drive supernova explosions by the neutrino-heating mechanism, we show that low-mode ($l=1,2$) convection can develop from random seed perturbations behind the shock. A slow onset of the explosion is crucial, requiring the core luminosity to vary slowly with time, in contrast to the burstlike exponential decay assumed in previous work. Gravitational and hydrodynamic forces by the globally asymmetric supernova ejecta were found to accelerate the remnant neutron star on a time scale of more than a second to velocities above $500\mathrm{k}\mathrm{m}{\mathrm{s}}^{-1}$, in agreement with observed pulsar proper motions.

• Received 18 July 2003

DOI:https://doi.org/10.1103/PhysRevLett.92.011103