The central engine which powers the Gamma-Ray Burst (GRB) 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 are possible for the oscillations of nu_e to nu_{mu,tau}, nu_e to
nu_s and anti-nu_(mu,tou) to anti-nu_s if the neutrino mass square difference
and mixing angle are in the atmospheric and/or LSND 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.Comment: 4 pages, two column text, To be published in Phys. Rev.