Distorted Phase Effect ==================================== .. index:: Distorted Phase Effect The Phenomenon ----------------- Notes for distorted phase effect, ref to [Kneller2015]_ .. figure:: assets/distorted-phase-effect/supernova-msw-potential-profile-fischer.png :align: center MSW potential for different radius. Multiple breaks appear. [Kneller2015]_. The dashed line are the resonance potential requirement for 5MeV, 15MeV, 45MeV neutrino of different mixing parameters :math:`\delta m^2=2.32\times 10^{-3}\mathrm{eV}^2`, :math:`\theta=9^{\circ}` (dashed grid lines) and :math:`\delta m^2=2.32\times 10^{-3}\mathrm{eV}^2`, :math:`\theta=33.9^\circ` (dot-dashed grid lines). Kneller et al calculated the corresponding neutrino transitions. .. figure:: assets/distorted-phase-effect/supernova-neutrinos-through-density-profile-with-breaks.png :align: center Neutrino transition probabilities through the profile above [Kneller2015]_. The first jump for 5MeV neutrinos is due to the density profile break at around :math:`10^{9}\mathrm{cm}`, while the second jump is due to the profile decrease at around :math:`5\times 10^{9}\mathrm{cm}` . I don't quite understand the drop in probability for 5MeV neutrinos. Is that not simply a constant matter effect? Refs & Notes ------------------- .. [Kneller2015] Kneller, J. P., & Kabadi, N. V. (2015). `Sensitivity of neutrinos to the supernova turbulence power spectrum: Point source statistics. `_ Physical Review D - Particles, Fields, Gravitation and Cosmology, 92(1), 1–19. .. [Kneller2017] Kneller, J. P., & Reyes, M. de los. (2017). The effect upon neutrinos of core-collapse supernova accretion phase turbulence. `arXiv:1702.06951 `_