Forward doubly-virtual Compton scattering off an unpolarised deuteron in pionless effective field theory
arXiv:2109.08223 · doi:10.1103/PhysRevC.104.054003
Abstract
We calculate the forward unpolarised doubly-virtual Compton scattering (VVCS) off the deuteron in the framework of pionless effective field theory, up to next-to-next-to-next-to-leading order (N3LO) for the longitudinal and next-to-leading order (NLO) for the transverse amplitude. The charge elastic form factor of the deuteron, obtained from the residue of the longitudinal VVCS amplitude, is used to extract the value of the single unknown two-nucleon one-photon contact coupling that enters the longitudinal amplitude at N3LO. We also study the lowest spin-independent generalised polarisabilities of the deuteron. The calculated unpolarised VVCS amplitude provides a high-precision model-independent input for a future calculation of the two-photon-exchange correction to the Lamb shift of muonic deuterium.
37 pages, 18 figures, minor changes, matches published version
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Cited by in corpus (4)
- Comprehensive theory of the Lamb shift in light muonic atoms
- Two-photon exchange in (muonic) deuterium at N3LO in pionless effective field theory
- Renormalization group analysis of electromagnetic properties of the deuteron
- A reassessment of nuclear effects in muonic deuterium using pionless effective field theory at N3LO