Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2005-10-17
Phys.Rev.D75:093002,2007
Physics
High Energy Physics
High Energy Physics - Phenomenology
10 pages, 9 eps figures. Major changes made. Final version to be published in PRD
Scientific paper
10.1103/PhysRevD.75.093002
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 $\Delta m^2_{\rm atm}$. 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 semi-adiabatic, which typically happens for $10^{-5} \lsim \sin^2 \theta_{13} \lsim 10^{-3}$. 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 $\nuebar$ spectra, they would establish inverted hierarchy and a nonzero value of $\theta_{13}$.
Dasgupta Basudeb
Dighe Amol
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