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MO: Fachverband Molekülphysik

MO 31: Poster – Collisions, Scattering and Correlation Phenomena (joint session A/MO)

MO 31.1: Poster

Thursday, March 5, 2026, 17:00–19:00, Philo 1. OG

Relativistic S-Matrix Calculations of Compton Scattering from Bound Electrons — •Nick Marius Mayer^{1, 2}, Jonas Sommerfeldt³, and Andrey Surzhykov^{1, 2} — ¹Technische Universität, Braunschweig, Germany — ²Physikalisch-Technische Bundesanstalt. Braunschweig, Germany — ³Laboratoire Kastler Brossel, Paris, France

Compton scattering is a fundamental process in which an incoming photon is inelastically scattered by an electron bound to an atomic nucleus. It finds important applications across many areas of modern science, ranging from medical radiotherapy to X-ray polarimetry. With regard to the latter, we present theoretical analyses of Compton scattering by bound electrons, with special focus on polarization effects. In particular, we discuss calculations based on S-matrix theory. To carry out these calculations, we developed a program that numerically solves the radial Dirac equation accurately for a bound electron in the central nuclear potential, approximated here by a Coulomb potential. Based on this approach, detailed calculations of the doubly differential cross section (DDCS) and the polarization properties of photons scattered by K-shell electrons can be carried out across a broad range of energies and for arbitrary polarization states of the incident photon beam.

Keywords: Compton; S-Matrix; HCI; cross section; x-ray