https://doi.org/10.1140/epjc/s10052-024-13348-7
Regular Article - Theoretical Physics
Neutrino tomography of the earth: the earth total mass, moment of inertia and hydrostatic equilibrium constraints
1
INFN/SISSA, Via Bonomea 265, 34136, Trieste, Italy
2
Kavli IPMU (WPI), University of Tokyo, 5-1-5 Kashiwanoha, 277-8583, Kashiwa, Japan
3
Also at: Institute of Nuclear Research and Nuclear Energy, Bulgarian Academy of Sciences, 1784, Sofia, Bulgaria
Received:
2
July
2024
Accepted:
4
September
2024
Published online:
30
September
2024
We investigate the implications of the constraints following from the precise knowledge of the total Earth mass, 
, and moment of inertia, 
, and from the requirement that Earth be in hydrostatic equilibrium (EHE), in the neutrino tomography studies of the Earth density structure. In order to estimate the sensitivity of a given neutrino detector to possible deviations of the inner core (IC), outer core (OC), core (IC + OC) and mantle Earth densities from those obtained using geophysical and seismological data and described by the preliminary reference Earth model (PREM), in the statistical analyses performed within the neutrino tomography studies one typically varies the density of each of these structures. These variations, however, must respect the , and EHE constraints. Working with PREM average densities we derive the , and EHE constraints on the possible density variations when one approximates the Earth density structure with (i) three layers – mantle, outer core and inner core, and (ii) four layers – upper mantle, lower mantle, outer core and inner core. We get drastically different results in the two cases.
© The Author(s) 2024
Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.
Funded by SCOAP3.
