The Compton-thick active galactic nucleus NGC 1068 has received increased attention since IceCube results reported high-energy neutrinos associated with the source. Numerous models attribute neutrino production to the region in or near the corona. The very high absorption column makes the X-ray/soft gamma-ray characteristics of the core not directly visible. Using broadband hard X-ray observations, we investigated various geometries to constrain the intrinsic nuclear flux from the core. We compare our results with both the assumed corona models (the main ingredient of the cascade process) and the predicted cascade spectra of the neutrino production models. We analyzed NuSTAR spectra from two periods along with the long-term average spectra from INTEGRAL/IBIS/ISGRI and INTEGRAL/SPI from 2. 5--500, keV using MYTorus models. We tested multiple MYTorus scenarios based on analyses of other Compton-thick AGN. ̧irc) and (0^ ̧irc) compared to a ``coupled'' scenario or a decoupled scenario with only a (90^ ̧irc) or (0^ ̧irc) component. In this scenario, the differences between the datasets can be explained by changes in the line-of-sight absorption column. For that geometry, the spectrum of the intrinsic nuclear component has a (Γ = 1. 96), (E_ cut) fixed to 500 keV, best-fit normalization (∼ 0. 017), ph/cm (^ 2) /s/keV and a 99% upper-limit normalization of (∼ 0. 095), ph/cm (^ 2) /s/keV at 1 keV, which corresponds to 2--10, keV intrinsic luminosities of (1. 2 10^ 42), erg/s and (6. 4 10^ 42), erg/s, respectively. A comparison with four published neutrino production models in NGC 1068 found that our best-fit intrinsic nuclear spectrum is significantly lower than the predicted cascade spectrum for one of them, while for two others, our results are below the assumed X-ray model ( (∼ 5-10 questioning the resulting cascade spectra. Finally, the fourth model is marginally consistent with our results. However, this does not exclude neutrino production in the central part of the source.
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