Theoretical Estimate of the Sensitivity of the CUORE Detector to Solar Axions

Abstract: In this paper we calculate the potential sensitivity of the CUORE detector to axions produced in the Sun through the Primakoff process and detected by the inverse coherent Bragg-Primakoff process. The conversion rate is calculated using density functional theory for the electron density and realistic expectations for the energy resolution and background of CUORE. Monte Carlo calculations for $5~$y$\times741~$kg=$3705~$kg y of exposure are analyzed using time correlation of individual events with the theoretical time-dependent counting rate and lead to an expected limit on the axion-photon coupling $g_{a\gamma\gamma}<3.83\times 10^{-10}~GeV^{-1}$ for axion masses less than $100$ eV.