2005/10/31 by Basudeb Dasgupta, Amol Dighe
Physics and Astronomy · #Astrophysics and Cosmic Phenomena #Neutrino Physics Research #Particle physics theoretical and experimental studies #astro-ph #hep-ph
paper · pdf · doi:10.1103/physrevd.75.093002
published as Phys.Rev.D75:093002,2007 · 10 pages, 9 eps figures. Major changes made. Final version to be published in PRD
arxiv created 2007/04/28 · openalex publication_date 2007/05/03 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Neutrinos escaping from a core collapse supernova a few seconds after bounce pass through the shock wave, where they may encounter one or more resonances corresponding to \ensuremathΔmatm2. The neutrino mass eigenstates in matter may stay coherent between these multiple resonances, giving rise to oscillations in the survival probabilities of neutrino species. We provide an analytical approximation to these inevitable phase effects, that relates the density profile of the shock wave to the oscillation pattern. The phase effects are present only if the multiple resonances encountered by neutrinos are semiadiabatic, which typically happens for 10^\ensuremath-5\ensuremath\lesssimsin2\ensuremathθ13\ensuremath\lesssim10^\ensuremath-3. The observability of these oscillations is severely limited by the inability of the detectors to reconstruct the neutrino energy faithfully. For typical shock wave profiles, the detection of these phase effects seems rather unlikely. However, if the effects are indeed identified in the \ensuremathνe spectra, they would establish inverted hierarchy and a nonzero value of \ensuremathθ13.