UNIVERSITY OF BUCHAREST
FACULTY OF PHYSICS

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Conference: Bucharest University Faculty of Physics 2001 Meeting


Section: Nuclear and Elementary Particles Physics


Title:
About the hypothesis of equal energy or momentum in the neutrino oscillations probabilities


Authors:
Ana Mihaela Iarca


Affiliation:
Faculty of Physics Universityof Bucharest,Magurele, RO-76900, Bucharest, Romania


E-mail


Keywords:


Abstract:
Standard formulas for the neutrino oscillations probabilities are based on the approximation t=L and on the hypothesis that neutrinos have been produced with a definite momentum or, alternately, with definite energy. These two hypothesis imply different formula for oscillations probabilities and consequently different results. In the paper, we have shown that Lorentz invariance implies that in general flavour neutrinos in oscillation experiments are superposition of massive neutrinos with different momenta and energies. For each process in which neutrinos are produced, there is either a Lorentz frame in which all massive neutrinos have the same energy, or a Lorentz frame in which all massive neutrinos have the same momentum. Concrete calculations for particular cases of neutrinos produces in decay processes are shown