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Flavor oscillation of traveling neutrinos is treated by solving theone-dimensional Dirac equation for massive fermions. The solutions are given interms of squeezed coherent state as mutual eigenfunctions of parity operatorand the corresponding Hamiltonian, both represented in bosonic creation andannihilation operators. It was shown that a mono-energetic state isnon-normalizable, and a normalizable Gaussian wave packet, when of pure parity,cannot propagate. A physical state for a traveling neutrino beam would berepresented as a normalizable Gaussian wave packet of equally-weighted mixingof two parities, which has the largest energy-dependent velocity. Based on thiswave-packet representation, flavor oscillation of traveling neutrinos can betreated in a strict sense. These results allow the accurate interpretation ofexperimental data for neutrino oscillation, which is critical in judgingwhether neutrino oscillation violates CP symmetry.

Wave-Packet Treatment of Neutrino Oscillation Based on the Solution to Dirac Equation