Compton scattering revisited

Pratt, R.H.; LaJohn, L.A.; Florescu, Viorica; Surić, T.; Chatterjee, B.; Roy, S.C.

doi:10.1016/j.radphyschem.2009.04.035

Cited by 37 publications

(45 citation statements)

References 37 publications

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“…Thus, we can draw a conclusion that the factorization treatments adopted in former RIA studies do not change the physical results significantly in the Compton peak region, as Ribberfors et al expected [17,19,20]. Furthermore, recent works have indicated that the available range of former RIA treatments is only near the Compton peak region, where the momentum component |p z | in the scattering process is not very large [7,[50][51][52][53]. This criterion can be demonstrated by comparison with more advanced approaches, such as the S-Matrix approach.…”

Section: A Differential Cross Sectionsmentioning

confidence: 60%

“…Some studies have indicated that the RIA approach can be realized by making leading order approximations for more advanced methods [15,51,52]. In the past few years, several approaches beyond the IA formulation have been investigated [7,[51][52][53][54][55][56][57][58][59][60]. These works, which mainly employed low-energy theorems and S-matrix formulation, revealed many remarkable and nontrivial aspects of Compton scatterings and have gained a significant interests in interdisciplinary studies.…”

Section: Discussionmentioning

confidence: 99%

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Relativistic impulse approximation in Compton scattering

Qiao

Chi²,

Zhang

et al. 2020

J. Phys. B: At. Mol. Opt. Phys.

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Relativistic impulse approximation (RIA) has been widely used in atomic, condensed matter, nuclear, and elementary particle physics. In former treatments of RIA formulation, differential cross sections for Compton scattering processes were factorized into atomic Compton profiles by performing further simplified approximations in the integration. In this study, we develop an "exact" numerical method without using any further simplified approximations or factorization treatments. The validity of the approximations and factorizations used in former RIA treatments can be tested using our approach. Calculations for C, Cu, Ge, and Xe atomic systems are carried out using Dirac-Fock wavefunctions, and comparisons between the proposed approach and former treatments of RIA are performed and discussed in detail. Numerical results indicate that these simplified approximations work reasonably in the Compton peak region, and our results have little difference with the best of the former RIA treatments in the entire energy region. While in regions far from the Compton peak, the RIA results become inaccurate, even when our "exact" numerical treatment is used.

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Section: A Differential Cross Sectionsmentioning

confidence: 60%

Section: Discussionmentioning

confidence: 99%

Relativistic impulse approximation in Compton scattering

Qiao

Chi²,

Zhang

et al. 2020

J. Phys. B: At. Mol. Opt. Phys.

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“…Theoretical investigations of the Compton scattering on bound electrons started many decades ago [1] and are going on until now [2]. The latest developments are reviewed in [3]. The earlier calculations focused on the case, when the outgoing electron obtained the nonrelativistic energies [4].…”

Section: Introductionmentioning

confidence: 99%

Low-energyK-shell Compton scattering

Drukarev

Михайлов

2010

Phys. Rev. A

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We calculate the photon energy distribution and the total cross section for the Compton scattering on the K electrons for the case when the photon wave length is much smaller than the size of the K shell. We show that at the energies of the order of the binding energy I of the K electron most part of the spectrum is governed by the low-energy behavior. The total cross section has a local maximum at the energies (1.5-2)I , reaching the values of the order 1 barn. At higher photon energies the spectrum curves have two maxima, corresponding to low-energy ejected photons or electrons. The cross sections in the whole region are calculated. The actual calculations are carried out employing the nonrelativistic Coulomb functions, thus being valid for the single-electron atoms. However, the main features of the analysis are expected to be true for many-electron ions and neutral atoms. The results of the present analysis may be useful in calculations of the laser-induced and laser-assisted processes.

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“…In the present work, we have studied the energy spectrum of Compton scattering through FEA and RIA formulations. However, in the past few years, several approaches beyond FEA and RIA have already been investigated recently [53][54][55][56][57][58][59]. These researches, which mainly employing low-energy theorems and S-matrix formulation, have revealed many nontrivial properties of Compton scatterings and have attracted lots of interests in interdisciplinary studies.…”

Section: Discussionmentioning

confidence: 99%

Compton scattering energy spectrum for Si and Ge systems

Qiao

Chi²,

Lin

et al. 2020

J. Phys. G: Nucl. Part. Phys.

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In the present work, we study the Compton Scattering with atomic bound electrons which has great impacts on dark matter direct detection experiments. Throughout this work, we give a quantitative analysis of Compton scattering energy spectrum for Si and Ge atomic systems. The theoretical results on Compton scattering have been accomplished within the frameworks of free electron approximation and relativistic impulse approximation. The low energy transfer and near threshold regions are especially considered in this work. To obtain the atomic ground states, we adopt an ab initio calculations in fully relativistic Dirac-Fock theory for Si and Ge atoms. PACS numbers: 25.20.Dc, 32.80.Cy, 95.30.Dr, 95.35.+d

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Compton scattering revisited

Cited by 37 publications

References 37 publications

Relativistic impulse approximation in Compton scattering

Relativistic impulse approximation in Compton scattering

Low-energyK-shell Compton scattering

Compton scattering energy spectrum for Si and Ge systems

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