The generalized Gerasimov-Drell-Hearn sum rule is evaluated for the contribution of single pion production on the deuteron by explicit integration up to an energy of 1.5 GeV for both coherent and incoherent production. As the elementary ${\gamma }^{*}N\to \pi N$ amplitude, the MAID2003 model has been used. For incoherent production, the final state interaction is included in the final $\mathit{NN}$ and $\pi N$ subsystems. The resulting contribution to the generalized transverse GDH sum rule is considerably smaller than the negative contribution from the disintegration channel $d(e,e^{\text{'}})\mathit{np}$, which dominates the sum rule at low $Q^2$.

• Received 24 April 2009

DOI:https://doi.org/10.1103/PhysRevC.80.014001