标题： 通过超新星（反）中微子引发的反应解决中微子质量顺序的混合方法 显示英文标题

标题： Hybrid method to resolve the neutrino mass hierarchy by supernova (anti)neutrino induced reactions

摘要： 我们引入一种混合方法，通过同时测量至少两个探测器对核心坍缩超新星吸积和冷却阶段的反中微子和中微子通量的响应来确定中微子质量顺序。 (反)中微子-核反应截面对于$^{56}$Fe 和$^{208}$Pb 在相对论核能量密度泛函和弱相互作用哈密顿量的框架下进行计算，而对自由质子的非弹性散射截面$\mathrm{p}(\bar{\nu}_\mathrm{e},\mathrm{e}^{+})\mathrm{n}$则使用重重子手征微扰理论获得。 在核心坍缩超新星中，原中子星发出的(反)中微子通量的建模包括爆炸恒星内部的集体效应和Mikheyev-Smirnov-Wolfenstein效应。 对于子核的基态衰变模式的粒子发射率，在正常和倒置中微子质量顺序下进行了计算。 结果表明，同时使用不同靶材的(反)中微子探测器可以从$\nu_\mathrm{e}$-和$\bar{\nu}_\mathrm{e}$-诱导的粒子发射比值中确定中微子质量顺序。 这种混合方法倾向于来自超新星冷却阶段的中微子，并且在中微子部分采用更重的靶核（$^{208}$Pb）探测器，而对于反中微子，使用矿物油或水中的自由质子是合适的选择。 显示英文摘要

摘要： We introduce a hybrid method to determine the neutrino mass hierarchy by simultaneous measurements of responses of at least two detectors to antineutrino and neutrino fluxes from accretion and cooling phases of core-collapse supernovae. The (anti)neutrino-nucleus cross sections for $^{56}$Fe and $^{208}$Pb are calculated in the framework of the relativistic nuclear energy density functional and weak interaction Hamiltonian, while the cross sections for inelastic scattering on free protons $\mathrm{p}(\bar{\nu}_\mathrm{e},\mathrm{e}^{+})\mathrm{n}$ are obtained using heavy-baryon chiral perturbation theory. The modelling of (anti)neutrino fluxes emitted from a protoneutron star in a core-collapse supernova include collective and Mikheyev-Smirnov-Wolfenstein effects inside the exploding star. The particle emission rates from the elementary decay modes of the daughter nuclei are calculated for normal and inverted neutrino mass hierarchy. It is shown that simultaneous use of (anti)neutrino detectors with different target material allows to determine the neutrino mass hierarchy from the ratios of $\nu_\mathrm{e}$- and $\bar{\nu}_\mathrm{e}$-induced particle emissions. This hybrid method favors neutrinos from the supernova cooling phase and the implementation of detectors with heavier target nuclei ($^{208}$Pb) for the neutrino sector, while for antineutrinos the use of free protons in mineral oil or water is the appropriate choice.