Volume 73, Number 2, January 2006
|Page(s)||157 - 163|
|Published online||07 December 2005|
Additional time-dependent phase in the flavor-conversion formulas
Instituto de Física Gleb Wataghin, UNICAMP PO Box 6165, 13083-970, Campinas, SP, Brazil
Accepted: 15 November 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.
PACS: 02.30.Mv – Approximations and expansions / 03.65.-w – Quantum mechanics / 11.30.Hv – Flavor symmetries
© EDP Sciences, 2006
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