Neutrino transport in strongly magnetized proto neutron stars and the origin of pulsar kicks. 2. The Effect of asymmetric magnetic field topology

Feb, 1998
21 pages
Published in:
  • Astrophys.J. 505 (1998) 844
e-Print:

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199820052012201920250246810
Abstract: (arXiv)
In proto-neutron stars with strong magnetic fields, the cross section for νe\nu_e (νˉe\bar\nu_e) absorption on neutrons (protons) depends on the local magnetic field strength due to the quantization of energy levels for the ee^- (e+e^+) produced in the final state. If the neutron star possesses an asymmetric magnetic field topology in the sense that the magnitude of magnetic field in the north pole is different from that in the south pole, then asymmetric neutrino emission may be generated. We calculate the absorption cross sections of \nue and \bnue in strong magnetic fields as a function of the neutrino energy. These cross sections exhibit oscillatory behaviors which occur because new Landau levels for the ee^- (e+e^+) become accessible as the neutrino energy increases. By evaluating the appropriately averaged neutrino opacities, we demonstrate that the change in the local neutrino flux due to the modified opacities is rather small. To generate appreciable kick velocity (300\sim 300 km~s1^{-1}) to the newly-formed neutron star, the difference in the field strengths at the two opposite poles of the star must be at least 101610^{16}~G. We also consider the magnetic field effect on the spectral neutrino energy fluxes. The oscillatory features in the absorption opacities give rise to modulations in the emergent spectra of νe\nu_e and νˉe\bar\nu_e.
  • astrophysics: supernova
  • n: matter
  • pulsar
  • magnetic field: asymmetry
  • neutrino: transport theory
  • neutrino: absorption
  • cross section: energy dependence
  • antineutrino: absorption
  • neutrino/e
  • thermodynamics