REMARKS UPON THE MASS OSCILLATION FORMULAS

The standard formula for mass oscillations is often based upon the approximation t≈L and the hypotheses that neutrinos have been produced with a definite momentum p or, alternatively, with definite energy E. This represents an inconsistent scenario and gives an unjustified reduction by a factor of two in the mass oscillation formulas. Such an ambiguity has been a matter of speculations and mistakes in discussing flavor oscillations. We present a series of results and show how the problem of the factor two in the oscillation length is not a consequence of Gedanken experiments, i.e. oscillations in time. The common velocity scenario yields the maximum simplicity.

A MICROSCOPIC MODEL FOR THE PROPAGATION OF AN OSCILLATING NEUTRINO IN MATTER

The Green's function G(x; x′) for a two flavor/mass oscillating neutrino propagating through a lattice of Delta-function potentials is evaluated. The Green's function is readily put in the form of a physically interesting path integral. In the limit that the interparticle spacing is very much smaller than the vacuum oscillation length, the usual mean field result is recovered.