Energy dependence of the parity-violating asymmetry of circularly polarized photons in $d\vec{\gamma }\to np$ in pionless effective field theory

Abstract

We calculate the energy dependence of the asymmetry in the cross sections for circularly polarized photons on an unpolarized deuteron target in $d\vec{\gamma }\to np$ in pionless effective field theory. By matching the parity-violating low-energy constants to different sets of corresponding model parameters we obtain estimates for the asymmetry. In addition we calculate two possible figures of merit for the asymmetry in order to assess the preferred photon energy at which to perform a possible future experiment at a high-intensity photon source.

arXiv comment25 pages, 10 figures, v2 corrected plot in Fig 6

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• Large-N(c) limit reduces the number of independent few-body parity-violating low-energy constants in pionless effective field theory
• Charge and Magnetic Properties of Three-Nucleon Systems in Pionless Effective Field Theory
• Parity violation in neutron capture on the proton: determining the weak pion-nucleon coupling
• Three-body systems in pionless effective field theory
• Parity-Violating Three Nucleon Interactions at Low Energies and Large-$N_C$
• Cold Neutron-Deuteron Capture and Wigner-SU(4) Symmetry
• Matching effective few-nucleon theories to QCD