Nucleon Polarizabilities from Deuteron Compton Scattering within a Green's-Function Hybrid Approach

Abstract

We examine elastic Compton scattering from the deuteron for photon energies ranging from zero to 100 MeV, using state-of-the-art deuteron wave functions and NN-potentials. Nucleon-nucleon rescattering between emission and absorption of the two photons is treated by Green's functions in order to ensure gauge invariance and the correct Thomson limit. With this Green's-function hybrid approach, we fulfill the low-energy theorem of deuteron Compton scattering and there is no significant dependence on the deuteron wave function used. Concerning the nucleon structure, we use Chiral Effective Field Theory with explicit Δ(1232) degrees of freedom within the Small Scale Expansion up to leading-one-loop order. Agreement with available data is good at all energies. Our 2-parameter fit to all elastic $\gamma d$ data leads to values for the static isoscalar dipole polarizabilities which are in excellent agreement with the isoscalar Baldin sum rule. Taking this value as additional input, we find α_E^s= (11.3+-0.7(stat)+-0.6(Baldin)) x 10^{-4} fm^3 and β_M^s = (3.2-+0.7(stat)+-0.6(Baldin)) x 10^{-4} fm^3 and conclude by comparison to the proton numbers that neutron and proton polarizabilities are essentially the same.

47 pages LaTeX2e with 20 figures in 59 .eps files, using graphicx. Minor modifications; extended discussion of theoretical uncertainties of polarisabilities extraction. Version accepted for publication in EPJA

References in corpus (2)

• Chiral effective theory predictions for deuteron form factor ratios at low Q^2
• The chiral structure of the neutron as revealed in electron and photon scattering

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• Scattering Observables from One- and Two-Body Densities: Formalism and Application to $\gamma {}^3$He Scattering
• Nucleon Spin-Polarisabilities from Polarisation Observables in Low-Energy Deuteron Compton Scattering
• Electric polarizability of hadrons with overlap fermions on multi-GPUs
• Electromagnetic reactions on light nuclei using chiral effective theory