Amplitudes for Delbrück scattering

Falkenberg, H.; Hünger, A.; Rullhusen, P.; Schumacher, M.; Milstein, A. I.; Mork, K. J.

doi:10.1016/0092-640x(92)90023-b

Cited by 32 publications

(21 citation statements)

References 21 publications

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“…Figure 1 shows the scattering-matrix calculated cross sections for silicon and germanium. The cross section for helium is been calculated using non-relativistic form factors for Raleigh scattering [14,15], Equations 2 and 3 for nuclear Thomson scattering, and lookup tables for Delbrück scattering [16]. The imaginary Delbrück amplitudes are interpolated in energy by the pair-production cross section [17] while other interpolations from the lookup table are linear.…”

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confidence: 99%

Erratum: Coherent photon scattering background in sub- GeV/c2 direct dark matter searches [Phys. Rev. D 95 , 021301(R) (2017)]

Robinson¹

2017

Phys. Rev. D

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Proposed dark matter detectors with eV-scale sensitivities will detect a large background of atomic (nuclear) recoils from coherent photon scattering of MeV-scale photons. This background climbs steeply below ∼10 eV, far exceeding the declining rate of low-energy Compton recoils. The upcoming generation of dark matter detectors will not be limited by this background, but further development of eV-scale and sub-eV detectors will require strategies, including the use of low nuclear mass target materials, to maximize dark matter sensitivity while minimizing the coherent photon scattering background.PACS numbers: 13.60. Fz, 95.35.+d Interest in sub-GeV/c 2 mass thermal relic dark matter models has inspired ideas for direct detection experiments with eV-scale and sub-eV thresholds [1]. For such light dark matter, the recoil energy differential scattering rate is restricted to energies below the detection thresholds of direct detection experiments motivated by weakscale and supersymmetric models [2,3].Penetrating MeV-scale photons are a background for all of these experiments with different mechanisms at high and low recoil energies. Incoherent (Compton) scattering from electrons is suppressed when insufficient energy is deposited to excite a bound electron [4], or when the energy range of interest is narrow compared to typical MeV scale energy depositions. This dominant mechanism for photon backgrounds in most existing direct detection experiments has been considered negligible for future eV-scale and sub-eV experiments [1]. In contrast, the coherent scattering of neutral particles, such as coherent neutrino scattering [5] or coherent dark matter scattering, produces an enhanced spectrum of low-energy recoils. Coherent photon scattering across an atom produces a low-energy background spectrum that may overwhelm low threshold dark matter detectors.A photon with energy E γ = c p γ ≈ 1 MeV scattering at angle 0 ≤ θ ≤ π from an atom with mass M ≈ 10 GeV/c 2 , will transfer a small momentum q and recoil energy E r .The differential coherent scattering cross section is also strongly suppressed when coherence is lost for q >h/a B = 3.7 keV/c, where a B is the Bohr radius. This small energy deposition can be safely ignored for most applications, but not for upcoming dark matter searches. The angle differential cross section for coherent photon scattering and its effects on photon transport have * fbfree@fnal.gov

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confidence: 99%

Erratum: Coherent photon scattering background in sub- GeV/c2 direct dark matter searches [Phys. Rev. D 95 , 021301(R) (2017)]

Robinson¹

2017

Phys. Rev. D

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“…4. Properties of Delbrück scattering are well known (see, e.g., the review [10], for recent experiments [11] and for numerical results for the Delbrück scattering amplitudes [12]). The total cross section of this process σ D (ω L , Z) depends on the invariant (see Fig.…”

Section: Basics Of Delbrück Scatteringmentioning

confidence: 99%

“…Numerical values of this function can be found from plots and numbers given in [10,12], in particular,…”

Section: Basics Of Delbrück Scatteringmentioning

confidence: 99%

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Large contribution of virtual Delbrück scattering to the emission of photons by relativistic nuclei in nucleus–nucleus and electron–nucleus collisions

Ginzburg

Serbo

2008

Eur. Phys. J. C

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Abstract. Delbrück scattering is the elastic scattering of a photon in the Coulomb field of a nucleus via a virtual electron loop. The contribution of this virtual subprocess to the emission of a photon in the collision of ultra-relativistic nuclei, Z 1 Z 2 → Z 1 Z 2 γ, is considered. We identify the incoming virtual photon as being generated by one of the relativistic nuclei involved in the binary collision and the scattered photon as being emitted in the process. The energy and angular distributions of the photons are calculated. The discussed process has no infrared divergence. The total cross section obtained is 14 barn for Au-Au collisions at the RHIC collider and 50 barn for Pb-Pb collisions at the LHC collider. These cross sections are considerably larger than those for ordinary tree-level nuclear bremsstrahlung in the considered photon energy range, me Eγ meγ, where γ is the Lorentz factor of the nucleus. Finally, photon emission in electron-nucleus collisions, eZ → eZγ, is discussed in the context of the eRHIC option.

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“…[9,10]. It turns out, that the Coulomb corrections strongly decrease the Delbrück amplitude in comparison with the lowest-order Born approximation (the theoretical results and the corresponding experimental data are reviewed in detail in the report [11] and the tables [12]). At the moment, the minimal photon energy at which Delbrück scattering is experimentally observed is ω = 889 KeV Refs.…”

Section: Introductionmentioning

confidence: 99%

Coulomb corrections to the Delbrück scattering amplitude at low energies

Kirilin

Terekhov

2008

Phys. Rev. A

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In this article, we study the Coulomb corrections to the Delbrück scattering amplitude. We consider the limit when the energy of the photon is much less than the electron mass. The calculations are carried out in the coordinate representation using the exact relativistic Green function of an electron in a Coulomb field. The resulting relative corrections are of the order of a few percent for scattering on for a large charge of the nucleus. We compare the corrections with the corresponding ones calculated through the dispersion integral of the pair production cross section and also with the magnetic loop contribution to the g-factor of a bound electron. The last one is in a good agreement with our results but the corrections calculated through the dispersion relation are not.

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Amplitudes for Delbrück scattering

Cited by 32 publications

References 21 publications

Erratum: Coherent photon scattering background in sub- GeV/c2 direct dark matter searches [Phys. Rev. D 95 , 021301(R) (2017)]

Erratum: Coherent photon scattering background in sub- GeV/c2 direct dark matter searches [Phys. Rev. D 95 , 021301(R) (2017)]

Large contribution of virtual Delbrück scattering to the emission of photons by relativistic nuclei in nucleus–nucleus and electron–nucleus collisions

Coulomb corrections to the Delbrück scattering amplitude at low energies

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