Fourier Analysis of the Parametric Resonance in Neutrino Oscillations

Abstract

Parametric enhancement of the appearance probability of the neutrino oscillation under the inhomogeneous matter is studied. Fourier expansion of the matter density profile leads to a simple resonance condition and manifests that each Fourier mode modifies the energy spectrum of oscillation probability at around the corresponding energy; below the MSW resonance energy, a large-scale variation modifies the spectrum in high energies while a small-scale one does in low energies. In contrast to the simple parametric resonance, the enhancement of the oscillation probability is itself an slow oscillation as demonstrated by a numerical analysis with a single Fourier mode of the matter density. We derive an analytic solution to the evolution equation on the resonance energy, including the expression of frequency of the slow oscillation.

12 pages, 3 color figures, LaTeX, elsarticle.sty

References in corpus (2)

• Physics with a very long neutrino factory baseline
• On in situ Determination of Earth Matter Density in Neutrino Factory

Cited by in corpus (4)

• DUNE atmospheric neutrinos: Earth Tomography
• Atmospheric, long baseline, and reactor neutrino data constraints on ${\theta }_{13}$
• Stimulated neutrino transformation through turbulence on a changing density profile and application to supernovae
• Parametric enhancement of flavor oscillation in a three-neutrino framework