Journal
PHYSICAL REVIEW A
Volume 105, Issue 2, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevA.105.022804
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Funding
- GSI Helmholtz Centre for Heavy Ion Research [BSSURZ1922]
- Government of the Russian Federation through the ITMO Fellowship and Professorship Program
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We present a theoretical method to calculate Delbruck scattering amplitudes, which is based on the exact analytical Dirac-Coulomb Green's function and takes into account the interaction of the virtual electron-positron pair with the nucleus to all orders, including the Coulomb corrections. Our method accelerates the numerical convergence by solving the radial integrals analytically. Numerical results reveal that our method can produce accurate results within a reasonable computation time and that the Coulomb corrections enhance the absolute value of the Delbruck amplitude by a few percent for the studied photon energies.
We present a theoretical method to calculate Delbruck scattering amplitudes. Our formalism is based on the exact analytical Dirac-Coulomb Green's function and therefore accounts for the interaction of the virtual electron-positron pair with the nucleus to all orders, including the Coulomb corrections. The numerical convergence of our calculations is accelerated by solving the radial integrals that are involved analytically in the asymptotic region. Numerical results for the collision of photons with energies 102.2 and 255.5 keV with bare neon and lead nuclei are compared with the predictions of the lowest-order Born approximation. We find that our method can produce accurate results within a reasonable computation time and that the Coulomb corrections enhance the absolute value of the Delbruck amplitude by a few percent for the studied photon energies.
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