Neutrino transitions nu -> nu gamma, nu -> nu e+ e- in a strong magnetic field as a possible origin of cosmological gamma-burst

The high energy neutrino transitions with the photon and electron-positron pair creation in a strong magnetic field in the framework of the Standard Model are investigated. The process probabilities and the mean values of the neutrino energy and momentum loss are presented. The asymmetry of outgoing neutrinos, as a possible source of sufficient recoil kick'' velocity of a remnant and the emission of e+ e- pairs and gamma-quanta in a polar cap’’ region of a remnant, as a possible origin of cosmological gamma-burst are discussed.