Calculations of Delbrück scattering to all orders in 
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Sommerfeldt, J.; Yerokhin, V. A.; Müller, R. A.; Zaytsev, V. A.; Volotka, A. V.; Surzhykov, A.

doi:10.1103/physreva.105.022804

Cited by 4 publications

(10 citation statements)

References 31 publications

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“…Since this free-loop diagram does not contribute to the lightlight interaction process, it should be subtracted from the further calculations as discussed in ref. [22]. In practice, this subtraction…”

Section: Energy Integralmentioning

confidence: 99%

“…As shown in Appendix A of ref. [22], the remaining radial integrals can be traced back to the expression…”

Section: Radial Integralsmentioning

confidence: 99%

“…In analogy to ref. [22], we split the integral in Equation ( 12) into parts that are close and far away from the origin and insert the asymptotic expansion of the Whittaker functions in the outer part. The expression that needs to be solved analytically reads…”

Section: Appendix A: Analytical Solution Of the Radial Integralsmentioning

confidence: 99%

“…However, exactly these integrals were already calculated in ref. [22]. The integrals that occur in I and II j are given by…”

Section: Appendix A: Analytical Solution Of the Radial Integralsmentioning

confidence: 99%

“…Up to now, only a few calculations were performed for photon energies below the pair production threshold. [20][21][22] The above threshold case is even more demanding due to the fact that the production of a real electron-positron pair is possible in this regime. In the present work, we propose an efficient approach for calculations of the above-threshold Delbrück scattering, which allows to take into account the interaction of the electron-positron pairs with the Coulomb center to all orders.…”

Section: Introductionmentioning

confidence: 99%

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Delbrück Scattering above the Pair Production Threshold: Going beyond the Born Approximation

Sommerfeldt,

Yerokhin,

Surzhykov

2023

Annalen der Physik

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A theoretical method to calculate Delbrück scattering amplitudes for photon energies above the electron‐positron () pair production threshold is presented. The method is based on the application of the relativistic Dirac–Coulomb Green function and describes the interaction of the virtual pair with the Coulomb field of a target to all orders in the coupling strength parameter . To illustrate the application of the developed approach, detailed calculations have been performed for the scattering of 2.754 MeV photons off bare ions with a wide range of nuclear charge numbers. Results of these calculations clearly indicate that the higher‐order terms beyond the Born approximation lead to a strong enhancement of the imaginary part of the Delbrück amplitude and have to be taken into account for the analysis and guidance of gamma‐ray scattering experiments.

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Section: Energy Integralmentioning

confidence: 99%

“…As shown in Appendix A of ref. [22], the remaining radial integrals can be traced back to the expression…”

Section: Radial Integralsmentioning

confidence: 99%

Section: Appendix A: Analytical Solution Of the Radial Integralsmentioning

confidence: 99%

“…However, exactly these integrals were already calculated in ref. [22]. The integrals that occur in I and II j are given by…”

Section: Appendix A: Analytical Solution Of the Radial Integralsmentioning

confidence: 99%

Section: Introductionmentioning