  Cross sections for \nuc{6}{Li}($\gamma$,$\gamma$)\nuc{6}{Li} have been
measured at the High Intensity Gamma-Ray Source (\HIGS) and the sensitivity of
these cross sections to the nucleon isoscalar polarizabilities was studied.
Data were collected using a quasi-monoenergetic 86 MeV photon beam at photon
scattering angles of 40$^{\circ}$--160$^{\circ}$. These results are an
extension of a previous measurement at a lower energy. The earlier work
indicated that the \nuc{6}{Li}($\gamma$,$\gamma$)\nuc{6}{Li} reaction at 60 MeV
provides a means of extracting the nucleon polarizabilities; this work
demonstrates that the sensitivity of the cross section to the polarizabilities
is increased at 86 MeV. A full theoretical treatment is needed to verify this
conclusion and produce values of the polarizabilities.
