  We study the greybody factor and Hawking radiation for a scalar field
coupling to Einstein's tensor in the background of Reissner-Nordstr\"om black
hole in the low-energy approximation. We find that the presence of the coupling
terms modifies the standard results in the greybody factor and Hawking
radiation. Our results show that both the absorption probability and Hawking
radiation increase with the coupling constant. Moreover, we also find that for
the stronger coupling, the charge of black hole enhances the absorption
probability and Hawking radiation of the scalar field, which is different from
those of ones without coupling to Einstein's tensor in the black hole
spacetime.
