Abstract
We show that nontrivial Berry phase factors can arise in the evolution operator of the standard, three-flavor-neutrino system when a neutrino beam propagates through a medium whose parameters - number densities of scatterers - vary cyclically with distance. The conditions are established whereby the Berry phases take their extreme (resonance) values independently of the density distribution in the background. This universal “geometric” resonance is capable to change drastically the survival and transition probabilities for neutrinos in matter.
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