Additional time-dependent phase in the flavor-conversion formulas

Abstract

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.

9 pages, 3 figures

References in corpus (2)

• Flavor and chiral oscillations with Dirac wave packets
• Dirac Spinors and Flavor Oscillations

Cited by in corpus (4)

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• Space-time propagation of neutrino wave packets at high temperature and density
• Maximal correlation between flavor entanglement and oscillation damping due to localization effects
• Influence of second-order corrections to the energy-dependence of neutrino flavor conversion formulae