Exploiting non-adiabatic density shifts in neutrino interactions

Abstract

In this paper, we give an exact analytical solution to the case of neutrinos propagating through multiple non-adiabatic density profiles. The resulting oscillation probability needs to be modelled in 4-dimensional parameter space $\{n,L_0,d,\Delta L\}$, where $n$ is the number of iterations, $L_0$ is the distance from source to first density shift, $d$ is the length of the material slabs, while $\Delta L$ is the space between them. We show that a set of resonance parameters can be found to obtain a complete flavor conversion of any neutrino species. This can be done for both neutrinos and antineutrinos.

4 pages, 2 figures. Paper has been withdrawn since the same problem was studied earlier by Akhmedov. See hep-ph/0609022 [Phys. Rev. D 74, 053001 (2006)] for novel research on the parametric resonance effect for antineutrinos