Topological phase in two flavor neutrino oscillations
Abstract
We show that the phase appearing in neutrino flavor oscillation formulae has a geometric and topological contribution. We identify a topological phase appearing in the two flavor neutrino oscillation formula using Pancharatnam’s prescription of quantum collapses between nonorthogonal states. Such quantum collapses appear naturally in the expression for appearance and survival probabilities of neutrinos. Our analysis applies to neutrinos propagating in vacuum or through matter. For the minimal case of two flavors with CP conservation, our study shows for the first time that there is a geometric interpretation of the neutrino oscillation formulae for the detection probability of neutrino species.
 Publication:

Physical Review D
 Pub Date:
 May 2009
 DOI:
 10.1103/PhysRevD.79.096013
 arXiv:
 arXiv:0901.0790
 Bibcode:
 2009PhRvD..79i6013M
 Keywords:

 03.65.Vf;
 14.60.Pq;
 Phases: geometric;
 dynamic or topological;
 Neutrino mass and mixing;
 High Energy Physics  Phenomenology;
 High Energy Physics  Theory;
 Quantum Physics
 EPrint:
 11 pages, 3 figures, accepted in Phys. Rev. D