Additional time-dependent phase in the flavor-conversion formulasA. E. Bernardini
Instituto de Física Gleb Wataghin, UNICAMP PO Box 6165, 13083-970, Campinas, SP, Brazil
received 23 September 2005; accepted 15 November 2005
published online 7 December 2005
In the framework of intermediate wave-packets for treating flavor oscillations, we quantify the modifications which appear when we assume a strictly peaked momentum distribution and consider the second-order corrections in a power series expansion of the energy. By following a sequence of analytic approximations, we point out that an extra time-dependent phase is merely the residue of second-order corrections. Such phase effects are usually ignored in the relativistic wave-packet treatment, but they do not vanish non-relativistically and can introduce some small modifications to the oscillation pattern even in the ultra-relativistic limit.
02.30.Mv - Approximations and expansions.
03.65.-w - Quantum mechanics.
11.30.Hv - Flavor symmetries.
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