  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.
