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

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$\times 741$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 $g_{a\gamma \gamma }<3.83\times {10}^{-10}Ge{V}^{-1}$ for axion masses less than $100$ eV.