Exploring the Neutrino Mass Hierarchy from Isotopic Ratios of Supernova Nucleosynthesis Products in Presolar Grains

We study the nucleosynthesis in a core-collapse supernova (CCSN) model including newly calculated neutrino-induced reaction rates with both collective and Mikheyev-Smirnov-Wolfenstein neutrino flavor oscillations considered. We show that the measurement of a pair of ¹¹B/¹⁰B and ¹³⁸La/¹³⁹La or ⁶Li/⁷Li and ¹³⁸La/¹³⁹La in presolar grains that are inferred to have originated from CCSNs could constrain the neutrino mass hierarchy. The new shell model and the model of quasiparticle random phase approximation in the estimate of three important neutrino-induced reactions, ν + ¹⁶O, ν + ²⁰Ne, and ν + ¹³⁸Ba, are applied in our reaction network. The new rates decrease the calculated ⁷Li/⁶Li ratio by a factor of 5 compared with the previous study. More interestingly, these new rates result in a clear separation of the isotopic ratio of ¹¹B/¹⁰B between normal and inverted mass hierarchies in the O/Ne, O/C, and C/He layers, where ¹³⁸La abundance depends strongly on the mass hierarchy. In these layers, the sensitivity of the calculated abundances of ^10,11B and ^6,7Li to the nuclear reaction uncertainties is also tiny. Therefore, we propose that the ¹¹B/¹⁰B versus ¹³⁸La/¹³⁹La and ⁶Li/⁷Li versus ¹³⁸La/¹³⁹La in type X silicon carbide grains sampled material from C/He layer can be used as a new probe to constrain the neutrino mass hierarchy.