The generalized Gerasimov–Drell–Hearn sum rule for deuteron electrodisintegration

Abstract

The generalized Gerasimov–Drell–Hearn sum rule IGDHγ∗d(Q2) for deuteron electrodisintegration d(e,e′)np as function of the squared four-momentum transfer Q2 is evaluated by explicit integration. The calculation is based on a conventional nonrelativistic framework using a realistic NN-potential and including contributions from meson exchange currents, isobar configurations and leading order relativistic terms. Good convergence is achieved. The prominent feature is a deep negative minimum, Iγ∗dGDH=−9.5 mb, at low Q2≈0.2 fm−2 which is almost exclusively driven by the nucleon isovector anomalous magnetic moment contribution to the magnetic dipole transition to the 1S0-state. Above Q2=20 fm−2 the integral IGDHγ∗(Q2) approaches zero rapidly.