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We reexamine the theoretical limit on the axion coupling to two photons, , in the light of a new solar model (seismic solar model) and the latest solar neutrino observations, the Super-Kamiokande and the Sudbury Neutrino Observatory (SNO). From the comparison of the theoretically expected and the measured neutrino fluxes, we set a limit $g_{a\gamma \gamma} < 4.0\times 10^{-10} ~ ^{-1}$. This limit based on a new procedure is about a factor of 3 improvement over the previous theoretical limit and a more severe limit than the solar axion experiments. Therefore this limit is the most stringent limit on solar axions.

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