Measuring the Neutron and $^{3}$He Spin Structure at Low $Q^{2}$

Originally derived for real photon absorption, the Gerasimov-Drell-Hearn (GDH) sum rule was first extended to non-zero $Q^{2}$ in 1989. The extension of the sum rule provides a unique relation, valid at any $Q^{2}$, that can be used to study the nucleon spin structure. The goal of Jefferson Lab experiment E97-110 is to perform a precise measurement of the $Q^{2}$ dependence of the generalized GDH integral and of the moments of the neutron and $^{3}$He spin structure functions between 0.02 and 0.3 GeV$^{2}$. This $Q^{2}$ range will allow us to test predictions of Chiral Perturbation Theory, and verify the GDH sum rule by extrapolating the integral to the real photon point. This measurement also provides a better understanding of the nucleon resonances. The data have been taken in Hall A using the Jefferson Lab high polarization continuous electron beam and a polarized $^{3}$He target. The status and perspectives of the data analysis will be discussed, and preliminary results will be shown.