Elastic scattering of photons

Roy, S.C.; Kissel, Lynn; Pratt, R. H.

doi:10.1016/s0969-806x(99)00286-8

Cited by 64 publications

(58 citation statements)

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“…Elastic scattering, in addition to its applications in shielding and in medical diagnostics, is used extensively to obtain information about the structural properties of materials and complex molecules (Roy et al, 1999). The elastic scattering of gamma rays by atoms occurs mainly through the coherent contributions of the following component processes that are Rayleigh scattering, nuclear Thomson scattering, Delbrück scattering, and nuclear resonance scattering.…”

Section: Introductionmentioning

confidence: 99%

Calculation of the total Rayleigh scattering cross sections of photons in the energy range of 30–50keV for Nb and Mo elements

Böke

2011

Radiation Physics and Chemistry

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Section: Introductionmentioning

confidence: 99%

Calculation of the total Rayleigh scattering cross sections of photons in the energy range of 30–50keV for Nb and Mo elements

Böke

2011

Radiation Physics and Chemistry

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“…The angle differential cross section for coherent photon scattering and its effects on photon transport have * fbfree@fnal.gov Energy differential cross sections for 1461 keV photons from 40 K decay in free silicon, germanium, and helium atoms. The low energy portion of the coherent scattering spectrum is dominated by Rayleigh scattering, while the high energy components are dominated by nuclear Thomson scattering and Delbrück scattering [6,7]. For low recoil momenta in condensed systems, structure effects may modify the spectrum from the free atom ones shown (see text).…”

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confidence: 99%

“…been well studied [6] [12]. The dominant Rayleigh scattering cross section can be defined in terms of atomic form factors F (q, Z) multiplying the non-relativistic spinaveraged Thomson scattering cross section σ T from a single electron with mass m e :…”

mentioning

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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“…More specifically, FF approach can be used provided that the photon energy be much larger than the atomic binding energies but much smaller than the electron rest-mass energy [26]. More accurate Rayleigh amplitudes for a wider photon energy range can be achieved within the FF approach by considering a modified form factor (MFF) and by considering the anomalous scattering factors usually denoted by f ′ and f ′′ [5,45]. It must be underlined that both SM and FF approaches treat the target as an isolated atom (isolated atom approximation), with the electronic wave-functions being obtained within IPA.…”

Section: Application To Rayleigh Scatteringmentioning

confidence: 99%

Analytical evaluation of atomic form factors: Application to Rayleigh scattering

Safari

Santos

Amaro

et al. 2015

Journal of Mathematical Physics

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Atomic form factors are widely used for the characterization of targets and specimens, from crystallography to biology. By using recent mathematical results, here we derive an analytical expression for the atomic form factor within the independent particle model constructed from nonrelativistic screened hydrogenic wavefunctions. The range of validity of this analytical expression is checked by comparing the analytically obtained form factors with the ones obtained within the Hartee-Fock method. As an example, we apply our analytical expression for the atomic form factor to evaluate the differential cross section for Rayleigh scattering off neutral atoms.

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Elastic scattering of photons

Cited by 64 publications

References 65 publications

Calculation of the total Rayleigh scattering cross sections of photons in the energy range of 30–50keV for Nb and Mo elements

Calculation of the total Rayleigh scattering cross sections of photons in the energy range of 30–50keV for Nb and Mo elements

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

Analytical evaluation of atomic form factors: Application to Rayleigh scattering

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