Elastic scattering of 1.17 and 1.33 MeV gamma rays by molybdenum, tantalum and lead

Basavaraju, G.; Kane, P.P.; Varier, K. M.

doi:10.1007/bf02846856

Cited by 14 publications

(2 citation statements)

References 17 publications

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“…In other words, the S-matrix method accurately predicts the angular distribution of Rayleigh scattering, even for very high photon energies. One major achievement of this method is that the accuracy at y-ray energies is sufficiently high to enable an experimental identification of Delbriick scattering (Basavaraju, Kane & Varier, 1979;Miickenheim & Schumacher, 1980).…”

Section: The Second-order S-matrix Methodsmentioning

confidence: 99%

The validity of form-factor, modified-form-factor and anomalous-scattering-factor approximations in elastic scattering calculations

Kissel¹,

Zhou²,

Roy³

et al. 1995

Acta Cryst Sect A

181

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The validity of form-factor, modified-form-factor and anomalous-scattering-factor approximations in predictions of elastic photon-atom scattering is assessed with the aid of the state-of-the-art numerical calculation of Rayleigh scattering obtained using the second-order Smatrix theory, in the photon energy range from 100 eV to 1 MeV. A comparison is made with predictions from Smatrix theory in the same atomic model for representative low-Z (carbon, Z = 6) and high-Z (lead, Z = 82) elements to get a general idea of the validity of these simpler more approximate methods. The importance of bound-bound contributions and the angle dependence of the anomalous scattering factors is discussed. A prescription is suggested, with the assumption of angle independence, that uses simpler approaches to obtain the elastic scattering cross sections in the soft-X-ray regime at the level of accuracy of the S-matrix calculation, failing at large momentum transfers for high-Z elements. Predictions from this prescription are compared with experiment. With starting point the many-body elastic scattering amplitude, a detailed discussion is presented of the partition of the elastic scattering amplitude into Rayleigh and Delbrtick scattering components. This partition of the optical theorem reveals contributions from bound-bound atomic transitions, bound pair annihilation and bound pair production that are not usually associated with elastic scattering. In the parti-* Present address: 395 Henry Street, Apartment IN, Brooklyn, New York 11201, USA. tioned optical theorem for Rayleigh scattering, as in the many-body optical theorem for scattering from excited states, subtracted cross sections naturally appear. These terms are needed, in addition to the familiar terms for photoionization, to relate the real and imaginary parts of the scattering amplitude.

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Section: The Second-order S-matrix Methodsmentioning

confidence: 99%

The validity of form-factor, modified-form-factor and anomalous-scattering-factor approximations in elastic scattering calculations

Kissel¹,

Zhou²,

Roy³

et al. 1995

Acta Cryst Sect A

181

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“…[156] Hf 22.16-511 0.5-160 13 [62], [75], [102], [113] [66], [67], [69], [75], [77], [85]- [87], [98], [102], [105], [112]- [114], [119], [120], [123]- [127], [129], [145], [148]- [150], [152], [155], [156] 74 W 13.95-1408.1 0.5-165 151 [59], [60], [63]- [65], [78], [85]- [87], [102], [112], [113], [123], [124], [127], [148] [94], [102], [112], [113], [119], [120], [127], [131]- [133], [135],…”

Section: Experimental Datamentioning

confidence: 99%

Photon Elastic Scattering Simulation: Validation and Improvements to Geant4

Batič

Hoff

Pia

et al. 2012

IEEE Trans. Nucl. Sci.

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Abstract-Several models for the simulation of photon elastic scattering are quantitatively evaluated with respect to a large collection of experimental data retrieved from the literature. They include models based on the form factor approximation, on S-matrix calculations and on analytical parameterizations; they exploit publicly available data libraries and tabulations of theoretical calculations. Some of these models are currently implemented in general purpose Monte Carlo systems; some have been implemented and evaluated for the first time in this paper for possible use in Monte Carlo particle transport. The analysis mainly concerns the energy range between 5 keV and a few MeV. The validation process identifies the newly implemented model based on second order S-matrix calculations as the one best reproducing experimental measurements. The validation results show that, along with Rayleigh scattering, additional processes, not yet implemented in Geant4 nor in other major Monte Carlo systems, should be taken into account to realistically describe photon elastic scattering with matter above 1 MeV. Evaluations of the computational performance of the various simulation algorithms are reported along with the analysis of their physics capabilities.

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Rayleigh Scattering Elastic Photon Scattering By Bound Electrons

Kissel

Pratt

1985

Atomic Inner-Shell Physics

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Elastic scattering of 1.17 and 1.33 MeV gamma rays by molybdenum, tantalum and lead

Cited by 14 publications

References 17 publications

The validity of form-factor, modified-form-factor and anomalous-scattering-factor approximations in elastic scattering calculations

The validity of form-factor, modified-form-factor and anomalous-scattering-factor approximations in elastic scattering calculations

Photon Elastic Scattering Simulation: Validation and Improvements to Geant4

Rayleigh Scattering Elastic Photon Scattering By Bound Electrons

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