We report results of the first 3-by-3 "multi-angle" simulation of theevolution of neutrino flavor in the core collapse supernova environment. Inparticular, we follow neutrino flavor transformation in the neutronizationneutrino burst of an O-Ne-Mg core collapse event. Though in a qualitative senseour results are consistent with those obtained in 3-by-3 single-anglesimulations, at least in terms of neutrino mass hierarchy dependence,performing multi-angle calculations is found to reduce the adiabaticity offlavor evolution in the normal neutrino mass hierarchy, resulting in lower swapenergies. Differences between single-angle and multi-angle results are largestfor the normal neutrino mass hierarchy. Our simulations also show that currentuncertainties in the measured mass-squared and mixing angle parameterstranslate into uncertainties in neutrino swap energies. Our results show thatat low theta-13 it may be difficult to resolve the neutrino mass hierarchyusing the O-Ne-Mg neutronization neutrino burst.
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