Europhys. Lett.
Volume 73, Number 2, January 2006
Page(s) 157 - 163
Section General
Published online 07 December 2005
Europhys. Lett., 73 (2), pp. 157-163 (2006)
DOI: 10.1209/epl/i2005-10376-7

Additional time-dependent phase in the flavor-conversion formulas

A. 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.

© EDP Sciences 2006