High-Energy Neutrinos Produced by Interactions of Relativistic Protons in Shocked Pulsar Winds

We have estimated fluxes of neutrinos and gamma-rays that are generated from decays of charged and neutral pions from a pulsar surrounded by supernova ejecta in our galaxy, including an effect that has not been taken into consideration, that is, interactions between high energy cosmic rays themselves in the nebula flow, assuming that hadronic components are the energetically dominant species in the pulsar wind. Bulk flow is assumed to be randomized by passing through the termination shock and energy distribution functions of protons and electrons behind the termination shock are assumed to obey the relativistic Maxwellians. We have found that fluxes of neutrinos and gamma-rays depend very sensitively on the wind luminosity, which is assumed to be comparable to the spin-down luminosity. In the case where B = 10G and P = 1ms, neutrinos should be detected by km high-energy neutrino detectors such as AMANDA and IceCube. Also, gamma-rays should be detected by Cherenkov telescopes such as CANGAROO and H.E.S.S. as well as by gamma-ray satellites such as GLAST. On the other hand, in the case where B = 10G and P = 5ms, fluxes of neutrinos and gamma-rays will be too low to be detected even by the next-generation detectors. However, even in the case where B = 10G and P = 5ms, there is a possibility that very high fluxes of neutrinos may be realized at early stage of a supernova explosion (t ≤ 1yr), where the location of the termination shock is very near to the pulsar. We also found that there is a possibility that protons with energies ∼ 10 GeV in the nebula flow may interact with the photon field from surface of the pulsar and produce much pions, which enhances the intensity of resulting neutrinos and gamma-rays.