Asymmetric Neutrino Emission in Quark Matter and Pulsar Kicks

Physics – Condensed Matter – Superconductivity

Scientific paper

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Scientific paper

We derive conditions for an asymmetric neutrino emission of hot neutron stars with quark matter as a source for the observed large kick velocities of pulsars out of supernova remnants. We work out in detail the constraints for the initial temperature, the strength of the magnetic field and the electron chemical potential in the quark matter core. Also the neutrino mean free paths for quark matter and a possible hadronic mantle are considered for a successful kick mechanism. Heat capacities and neutrino emissivities in magnetised hot quark matter are investigated to delineate the maximum possible kick velocity. In addition, the influence of colour superconducting quark matter is taken into consideration as well. In a first study we find that ignoring neutrino quark scattering kick velocities of 1000 km/s can be reached very easily for quark phase radii smaller than 10 km and temperatures higher than 5 MeV. On the other hand, taking into account the small neutrino mean free paths it seems impossible to reach velocities higher than approximately 100 km/s, even when including effects from colour superconductivity where the neutrino quark interactions are suppressed.

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