Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2004-06-12
Prog.Theor.Phys. 113 (2005) 385-411
Physics
High Energy Physics
High Energy Physics - Phenomenology
29 pages, 11 figures. typos corrected, appendix added
Scientific paper
10.1143/PTP.113.385
We analyze oscillations of intermediate neutrinos in terms of the scattering of particles described by Gaussian wave packets. We study a scalar model as in a previous paper (I) but in realistic situations, where the two particles of the initial state and final state are wave packets and neutrinos are in the intermediate state. The oscillation of the intermediate neutrino is found from the time evolution of the total transition probability between the initial state and final state. The effect of a finite lifetime and a finite relaxation time are also studied. We find that the oscillation pattern depends on the magnitude of wave packet sizes of particles in the initial state and final state and the lifetime of the initial particle. For $\Delta m^2_{21}=3\times 10^{-2}$ eV$^2$, the oscillation probability deviates from that of the standard formula if the wave packet sizes are around $10^{-13}$ m for 0.4 MeV neutrino.
Asahara Akihiro
Ishikawa Kaoru
Shimomura Takashi
Yabuki Tetsuichiro
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