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Future large liquid-scintillator detectors can be implemented to observeneutrinos from a core-collapse supernova (SN) in our galaxy in various reactionchannels: (1) The inverse beta decay $\overline{\nu}^{}_e + p \to n + e^+$; (2)The elastic neutrino-proton scattering $\nu + p \to \nu + p$; (3) The elasticneutrino-electron scattering $\nu + e^- \to \nu + e^-$; (4) The charged-current$\nu^{}_e$ interaction $\nu^{}_e + {^{12}}{\rm C} \to e^- + {^{12}}{\rm N}$;(5) The charged-current $\overline{\nu}^{}_e$ interaction $\overline{\nu}^{}_e+ {^{12}}{\rm C} \to e^+ + {^{12}}{\rm B}$; (6) The neutral-current interaction$\nu + {^{12}}{\rm C} \to \nu + {^{12}}{\rm C}^*$. The less abundant $^{13}{\rmC}$ atoms in the liquid scintillator are also considered as a target, and boththe charged-current interaction $\nu^{}_e + {^{13}}{\rm C} \to e^- +{^{13}}{\rm N}$ and the neutral-current interaction $\nu + {^{13}}{\rm C} \to\nu + {^{13}}{\rm C}^*$ are taken into account. In this work, we show for thefirst time that a global analysis of all these channels at a single{liquid-}scintillator detector, such as Jiangmen Underground NeutrinoObservatory (JUNO), is very important to test the average-energy hierarchy ofSN neutrinos and how the total energy is partitioned among neutrino flavors. Inaddition, the dominant channels for reconstructing neutrino spectra and theimpact of other channels are discussed in great detail.

Getting the Most from Detection of Galactic Supernova Neutrinos in Future Large Liquid-Scintillator Detectors