1207.5207 (Kelin Wang et al.)

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

Kelin Wang, Zexian Cao

Flavor oscillation of traveling neutrinos is treated by solving the one-dimensional Dirac equation for massive fermions. The solutions are given in terms of squeezed coherent state as mutual eigenfunctions of parity operator and the corresponding Hamiltonian, both represented in bosonic creation and annihilation operators. It was found that a mono-energetic state is non-normalizable, and a normalizable Gaussian wave packet, when of pure parity, cannot propagate. A physical state for a traveling neutrino beam would be represented as a normalizable Gaussian wave packet of equally-weighted mixing of two parities, which has the largest energy-dependent velocity. Based on this wave-packet representation, flavor oscillation of traveling neutrinos can be treated in a strict sense. These results allow the accurate interpretation of experimental data for neutrino oscillation, which may be critical in judging whether neutrino oscillation violates CP symmetry.

View original: http://arxiv.org/abs/1207.5207