Drell-Hearn-Gerasimov Sum-Rule for the Deuteron in Nuclear Effective Field Theory

Abstract

The Drell-Hearn-Gerasimov sum rule for the deuteron is studied in nuclear effective field theory. The low-energy theorem for the spin-dependent Compton amplitude $f_1(\omega )$ is derived to the next-to-leading order in low-energy expansion. The spin-dependent photodisintegration cross section ${\sigma }^P-{\sigma }^A$ is calculated to the same order, and its contribution to the dispersive integral is evaluated.

8 pages, 2 figures

References in corpus (6)

• First measurement of the Gerasimov-Drell-Hearn integral for Hydrogen from 200 to 800 MeV
• The Q^2 evolution of the generalized Gerasimov-Drell-Hearn integral for the neutron using a He-3 target
• Q^2 Evolution of the Neutron Spin Structure Moments using a He-3 Target
• Measurement of the Proton Spin Structure Function $g_1(x,Q^2)$ for $Q^2$ from 0.15 to 1.6 GeV${}^2$ with CLAS
• Spin Asymmetry and Gerasimov-Drell-Hearn Sum Rule for the Deuteron
• Sum Rules and Spin-Dependent Polarizabilities of the Deuteron in Effective Field Theory

Cited by in corpus (6)

• Nuclear effective field theory: status and perspectives
• Effective field theory of the deuteron with dibaryon field
• Pion-less Effective Field Theory on Low-Energy Deuteron Electro-Disintegration
• Estiamte of the two-photon exchange effect on deuteron electromagnetic form factors
• Deuteron Compton Scattering in Effective Field Theory: Spin-Dependent Cross Sections and Asymmetries
• Forward doubly-virtual Compton scattering off an unpolarised deuteron in pionless effective field theory