Bound-state Compton scattering of linearly polarized photons
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arXiv
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| Auteurs principaux: | , , , , , , |
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866917413177524224 |
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| author | Sommerfeldt, Jonas Mayer, Nick M. Maiorova, Anna Middents, Wilko Fritzsche, Stephan Stöhlker, Thomas Surzhykov, Andrey |
| author_facet | Sommerfeldt, Jonas Mayer, Nick M. Maiorova, Anna Middents, Wilko Fritzsche, Stephan Stöhlker, Thomas Surzhykov, Andrey |
| contents | We present a theoretical study of Compton scattering of X- and $γ$-rays by a $K$-shell electron. Special attention is paid to the double-differential cross section and polarization of the scattered photons for linearly polarized incident photons. To investigate these observables, we employ the scattering matrix (S-matrix) approach based on relativistic Green's functions. The S-matrix results are moreover compared with predictions of the free-electron and impulse approximations, allowing us to assess the role of electron binding effects. Detailed calculations are carried out for hydrogen-like Ne$^{9+}$ and Pb$^{81+}$ targets over a wide range of incident photon energies and scattering angles. The calculations reveal kinematic regimes in which the impulse approximation agrees reasonably well with the S-matrix results. We also explore the polarization of scattered photons for slightly depolarized incident radiation, including the highly sensitive case of scattering at $90^\circ$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_14748 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Bound-state Compton scattering of linearly polarized photons Sommerfeldt, Jonas Mayer, Nick M. Maiorova, Anna Middents, Wilko Fritzsche, Stephan Stöhlker, Thomas Surzhykov, Andrey Atomic Physics We present a theoretical study of Compton scattering of X- and $γ$-rays by a $K$-shell electron. Special attention is paid to the double-differential cross section and polarization of the scattered photons for linearly polarized incident photons. To investigate these observables, we employ the scattering matrix (S-matrix) approach based on relativistic Green's functions. The S-matrix results are moreover compared with predictions of the free-electron and impulse approximations, allowing us to assess the role of electron binding effects. Detailed calculations are carried out for hydrogen-like Ne$^{9+}$ and Pb$^{81+}$ targets over a wide range of incident photon energies and scattering angles. The calculations reveal kinematic regimes in which the impulse approximation agrees reasonably well with the S-matrix results. We also explore the polarization of scattered photons for slightly depolarized incident radiation, including the highly sensitive case of scattering at $90^\circ$. |
| title | Bound-state Compton scattering of linearly polarized photons |
| topic | Atomic Physics |
| url | https://arxiv.org/abs/2604.14748 |