Title: Constraining the core radius and density jumps inside Earth using atmospheric neutrino oscillations

Abstract: Atmospheric neutrinos can act as a tool to probe the interior of Earth using weak interactions, and can provide information complementary to that obtained from gravitational and seismic measurements. While passing through Earth, multi-GeV neutrinos encounter Earth matter effects due to the coherent forward scattering with the ambient electrons, which alter the neutrino oscillation probabilities. These matter effects depend upon the density distribution of electrons inside Earth, and hence, can be used to determine the internal structure of Earth. In this work, we employ a five-layered model of Earth where the layer densities and radii are modified, keeping the mass and moment of inertia of Earth unchanged and respecting the hydrostatic equilibrium condition. We use the proposed INO-ICAL detector as an example of an atmospheric neutrino experiment that can distinguish between neutrinos and antineutrinos efficiently in the multi-GeV energy range. Our analysis demonstrates the role such an experiment can play in simultaneously constraining the density jumps inside Earth and the location of the core-mantle boundary.