Deuteron Compton Scattering in Effective Field Theory And Spin-Independent Nucleon Polarizabilities
arXiv:nucl-th/0408003 · doi:10.1016/j.physletb.2005.06.001
Abstract
Deuteron Compton scattering is calculated to $\mathcal{O}(Q^2)$ in pionless effective field theory using a dibaryon approach. The vector amplitude, which was not included in the previous pionless calculations, contributes to the cross section at $\mathcal{O}(Q^2)$ and influences significantly the extracted values of nucleon electric polarizability at incident photon energy 49 MeV. We recommend future high precision deuteron compton scattering experiments being performed at 25-35 MeV photon energy where the nucleon polarizability effects are appreciable and the pionless effective field theory is most reliable. For example, a measurement at 30 MeV with a 3% error will constrain the isoscalar nucleon electric polarizability $% α_{0}$ with a $\sim 30%$ error.
11 pages, 5 figures included