## Probing neutrino mass hierarchies and {phi}{sub 13} with supernova neutrinos

We investigate the feasibility of probing the neutrino mass hierarchy and the mixing angle {phi}{sub 13} with the neutrino burst from a future supernova. An inverse power-law density {rho}{approx}r{sup n} with varying n is adopted in the analysis as the density profile of a typical core-collapse supernova. The survival probabilities of {nu}{sub e} and {nu}{sub e} are shown to reduce to two-dimensional functions of n and {phi}{sub 13}. It is found that in the n-sin{sup 2}{phi}{sub 13} parameter space, the 3D plots of the probability functions exhibit highly nontrivial structures that are sensitive to the mass hierarchy, the mixing anglemore »