Theory of the Elastic and Inelastic Scattering of Light by Magnetic Crystals. I. First-Order Processes

We present the results of the [Formula: see text]-matrix description of the [Formula: see text] elastic and inelastic scattering differential cross-sections between 40 and 240 MeV with allocation of Airy minima of various orders. The first-order Airy minima have been unambiguously identified in the differential cross-sections for elastic scattering and inelastic scattering to the first [Formula: see text] state of [Formula: see text] at energies [Formula: see text] MeV, and the second-order Airy minima — at [Formula: see text] MeV. The angular positions of these minima obey an inverse dependence on energy. The intensities of nuclear refraction and absorption also obey the same energy dependence.

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Unified S-matrix analysis of Airy structures in α+24Mg elastic and inelastic scattering

International Journal of Modern Physics E ◽

10.1142/s0218301318500611 ◽

2018 ◽

Vol 27 (07) ◽

pp. 1850061 ◽

Cited By ~ 1

Author(s):

Yu. A. Berezhnoy ◽

A. S. Molev ◽

G. M. Onyshchenko ◽

V. V. Pilipenko

Keyword(s):

Inelastic Scattering ◽

Cross Sections ◽

Scattering Matrix ◽

Matrix Analysis ◽

Projectile Energy ◽

Correct Description ◽

First Order ◽

Elastic And Inelastic Scattering ◽

S Matrix ◽

Nuclear Rainbow

Using the six-parameter [Formula: see text]-matrix model, we have obtained a simultaneous correct description of the [Formula: see text]Mg elastic and inelastic scattering differential cross-sections over the energy region [Formula: see text]–[Formula: see text] MeV, where typical nuclear rainbow and prerainbow patterns are observed. The Airy minima of the first-order have been unambiguously identified in the cross-sections for elastic scattering and inelastic scattering to the first 2[Formula: see text] state of [Formula: see text]Mg at [Formula: see text]–145[Formula: see text]MeV. Their angular positions obey an inverse dependence on energy, which is in line with the “rainbow” interpretation of the data. Within this interpretation, the scattering matrix and the deflection function for the system [Formula: see text]Mg at [Formula: see text]–240[Formula: see text]MeV show physically justified smooth variations with the projectile energy.

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Nuclear Structure Effects in Elastic and Inelastic Scattering of Light Ions

Clustering Phenomena in Atoms and Nuclei - Springer Series in Nuclear and Particle Physics ◽

10.1007/978-3-662-02827-8_23 ◽

1992 ◽

pp. 202-209

Author(s):

K. Shitikova ◽

A. Katashov

Keyword(s):

Inelastic Scattering ◽

Nuclear Structure ◽

Scattering Of Light ◽

Elastic And Inelastic Scattering ◽

Light Ions

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Analysis of STEM micrographs of thick objects

Proceedings, annual meeting, Electron Microscopy Society of America ◽

10.1017/s0424820100081395 ◽

1978 ◽

Vol 36 (2) ◽

pp. 106-107

Author(s):

S. Golladay

Keyword(s):

Inelastic Scattering ◽

Multiple Scattering ◽

Mass Distribution ◽

Cross Sections ◽

Phase Contrast ◽

Image Point ◽

Contrast Effects ◽

Total Cross Sections ◽

Elastic And Inelastic Scattering

The theory of multiple scattering has been worked out by Groves and comparisons have been made between predicted and observed signals for thick specimens observed in a STEM under conditions where phase contrast effects are unimportant. Independent measurements of the collection efficiencies of the two STEM detectors, calculations of the ratio σe/σi = R, where σe, σi are the total cross sections for elastic and inelastic scattering respectively, and a model of the unknown mass distribution are needed for these comparisons. In this paper an extension of this work will be described which allows the determination of the required efficiencies, R, and the unknown mass distribution from the data without additional measurements or models. Essential to the analysis is the fact that in a STEM two or more signal measurements can be made simultaneously at each image point.

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