Flavor oscillations from a spatially localized source: A simple general treatment
Abstract
A unique description avoiding confusion is presented for all flavor oscillation experiments in which particles of a definite flavor are emitted from a localized source. The probability for finding a particle with the wrong flavor must vanish at the position of the source for all times. This condition requires flavortime and flavorenergy factorizations which determine uniquely the flavor mixture observed at a detector in the oscillation region, i.e., where the overlaps between the wave packets for different mass eigenstates are almost complete. Oscillation periods calculated for ``gedanken'' timemeasurement experiments are shown to give the correct measured oscillation wavelength in space when multiplied by the group velocity. Examples of neutrino propagation in a weak field and in a gravitational field are given. In these cases the relative phase is modified differently for measurements in space and time. Energymomentum (frequencywave number) and spacetime descriptions are complementary, equally valid, and give the same results. The two identical phase shifts obtained describe the same physics; adding them together to get a factor of 2 is double counting.
 Publication:

Physical Review D
 Pub Date:
 March 1997
 DOI:
 10.1103/PhysRevD.55.2760
 arXiv:
 arXiv:hepph/9607201
 Bibcode:
 1997PhRvD..55.2760G
 Keywords:

 14.60.Pq;
 03.65.Sq;
 Neutrino mass and mixing;
 Semiclassical theories and applications;
 High Energy Physics  Phenomenology
 EPrint:
 20 pages, revtex, no figures