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One of the unresolved mysteries in neutrino physics is the neutrino masshierarchy. We present a new method to determine neutrino mass hierarchy bycomparing the events of inverse beta decays (IBD), $\bar{\nu}_e + p\rightarrown + e^+$, and neutral current (NC) interactions, $\nu(\overline{\nu}) +p\rightarrow\nu(\overline{\nu}) + p$, of supernova neutrinos from accretion andcooling phases in scintillation detectors. Supernova neutrino flavorconversions depend on the neutrino mass hierarchy. On account ofMikheyev-Smirnov-Wolfenstein effects, the full swap of $\bar{\nu}_e$ flux withthe $\bar{\nu}_x$ ($x=\mu,~\tau$) one occurs in the inverted hierarchy, whilesuch a swap does not occur in the normal hierarchy. In consequence, the ratioof high energy IBD events to NC events for the inverted hierarchy is higherthan in the normal hierarchy. Since the luminosity of $\bar{\nu}_e$ is largerthan that of $\nu_x$ in accretion phase while the luminosity of $\bar{\nu}_e$becomes smaller than that of $\nu_x$ in cooling phase, we calculate this ratiofor both accretion and cooling phases. By analyzing the change of this eventratio from accretion phase to cooling phase, one can determine the neutrinomass hierarchy.

european physical journal. c, particles and fields

On Possibility of Determining Neutrino Mass Hierarchy by the  Charged-Current and Neutral-Current Events of Supernova Neutrinos in  Scintillation Detectors