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

Abstract

The generalized Gerasimov-Drell-Hearn sum rule $I_{{\gamma }^{\ast }d}^{GDH}(Q^2)$ for deuteron electrodisintegration $d(e,e^{\prime })np$ as function of the squared four-momentum transfer $Q^2$ 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, $I_{{\gamma }^{\ast }d}^{GDH}=-9.5$ mb, at low $Q^2\approx 0.2$ fm${}^{-2}$ which is almost exclusively driven by the nucleon isovector anomalous magnetic moment contribution to the magnetic dipole transition to the ${}^1{S}_0$-state. Above $Q^2=20$ fm${}^{-2}$ the integral $I_{{\gamma }^{\ast }}^{GDH}(Q^2)$ approaches zero rapidly.

6 pages Revtex4, 4 figures

References in corpus (3)

• An accurate nucleon-nucleon potential with charge-independence breaking
• Consistent Treatment of Relativistic Effects in Electrodisintegration of the Deuteron
• Final state interaction in spin asymmetry and GDH sum rule for incoherent pion production on the deuteron

Cited by in corpus (4)

• Estiamte of the two-photon exchange effect on deuteron electromagnetic form factors
• Incoherent single pion electroproduction on the deuteron with polarization effects
• Contribution of single pion electroproduction to the generalized Gerasimov-Drell-Hearn sum rule for the deuteron
• The correction of hadronic nucleus polarizability to hyperfine structure of light muonic atoms