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Noncyclic geometric phase for neutrino oscillation

Xiang-Bin Wang·L. C. Kwek·Yong Liu·C. H. Oh
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Abstract

We provide explicit formulae for the noncyclic geometric phases or Pancharatnam phases of neutrino oscillations. Since Pancharatnam phase is a generalization of the Berry phase, our results generalize the previous findings for Berry phase in a recent paper [Phys. Lett. B, 466 (1999) 262]. Unlike the Berry phase, the noncyclic geometric phase offers distinctive advantage in terms of measurement and prediction. In particular, for three-flavor mixing, our explicit formula offers an alternative means of determining the CP-violating phase. Our results can also be extended easily to explore geometric phase associated with neutron-antineutron oscillations.

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Xiang-Bin Wang, L. C. Kwek, Yong Liu, C. H. Oh. 2000-06-17. Noncyclic geometric phase for neutrino oscillation. https://doi.org/10.1103/physrevd.63.053003

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