“…While this method of Earth tomography has been conceptually explored in different contexts since the 1980s [see, e.g., Ermilova et al (1986); Nicolaidis (1988); Nicolaidis et al (1991); Ohlsson and Winter (2001); Ohlsson and Winter (2002); Lindner et al (2003); Winter (2006) and references therein], only now does the upcoming generation of atmospheric neutrino detectors provide a concrete opportunity to evaluate its capability of probing the density and/or composition of the deep Earth. Oscillation tomography with atmospheric neutrinos has been recently discussed by several authors (Rott et al, 2015;Winter 2016;Bourret et al, 2018;Bourret and Van Elewyck, 2019;D'Olivo et al, 2020;Kumar and Agarwalla, 2021;Denton and Pestes, 2021;Kelly et al, 2022;Capozzi and Petcov, 2022;D'Olivo Saez et al, 2022), with a variety of approaches in the treatment of the neutrino signal and in the targeted geophysical observables. In this study, we propose to re-examine the relevance and potential of this method for the characterization of the Earth's core composition, with a specific focus on its capacity to identify and quantify the presence of Hydrogen in the core.…”