Matrix elements of spin-dependent twist-four operators are extracted from recent data on the spin-dependent $g_1$ structure function of the proton and deuteron in the resonance region. We emphasize the need to include the elastic contributions to the first moments of the structure functions at $Q^2<2\mathrm{}$ ${\mathrm{GeV}}^2.$ The coefficients of the ${1/Q}^2$ corrections to the Ellis-Jaffe sum rules are found to be $0.04\pm 0.02$ and $0.03\pm 0.04$ ${\mathrm{GeV}}^2$ for the proton and neutron, respectively.

• Received 8 April 1997

DOI:https://doi.org/10.1103/PhysRevD.56.R1