Topological phase in two flavor neutrino oscillations and imprint of the CP phase

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Aithousa Mitropoulos ()

Aithousa Mitropoulos

Megaron, Athens - Greece


Dr Poonam Mehta (Raman Research Institute)


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. We also show that there is a non-trivial geometrical aspect associated with matter induced extrinsic CP violating phases when neutrinos propagate adiabatically through varying density matter. This distinction between the two cases can lead to visible consequences at the level of probability.

Primary author

Dr Poonam Mehta (Raman Research Institute)

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