Pulsar’s kicks and γ-ray bursts

Aims. The supernova-GRB (γ-ray burst) association is tested by showing the consistence of the distributions of pulsar’s kick velocities and GRB energies, under the assumption that cosmic GRBs are related to supernova explosions that form pulsars. Methods. These two distributions are derived from observations, and are checked by K-S test. Results. The deduced distribution of kick velocity from the total energy of GRBs and the observed distribution of radio pulsars are found to come from a same parent population. Conclusions. This result may indicate that GRBs could be really related to supernovae, and that the asymmetry of GRB fireballs would cause the kick of pulsars.