Additional time-dependent phase in the flavor-conversion formulas

Details Additional time-dependent phase in the flavor-conversion formulas Additional time-dependent phase in the flavor-conversion formulas

2006-01-07

arxiv.org/abs/hep-th/0601043v1

Europhys. Lett. 73 (2006) 157-163

Physics

High Energy Physics

High Energy Physics - Theory

9 pages, 3 figures

Scientific paper

10.1209/epl/i2005-10376-7

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.

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