Can there be neutrino oscillations in a gamma-ray burst fireball?

The central engine which powers the gamma-ray burst fireball produces neutrinos in the energy range of about 5-20 MeV. Fractions of these neutrinos may propagate through the fireball which is far away from the central engine. We have studied the propagation of these neutrinos through the fireball which is contaminated by baryons and have shown that resonant conversion of neutrinos is possible for the oscillations of {nu}{sub e}{r_reversible}{nu}{sub {mu}}{sub ,{tau}}, {nu}{sub e}{r_reversible}{nu}{sub s}, and {nu}{sub {mu}}{sub ,{tau}}{r_reversible}{nu}{sub s} if the neutrino mass square difference and mixing angle are in the atmospheric and/or Liquid Scintillator Neutrino Detector range. On the other hand, it is probably difficult for neutrinos to have resonant oscillation if the neutrino parameters are in the solar neutrino range. From the resonance condition, we have estimated the fireball temperature and the baryon load in it.