High-energy, Rytov, eikonal expansions

Roberto Car; G. M. Cicuta; D. Zanon; F. Riva

doi:10.1007/BF02769734

High-energy, Rytov, eikonal expansions

Roberto Car
, G. M. Cicuta
, D. Zanon
, F. Riva

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

The long-debated problem of the corrections proposed to the Glauber eikonal approximation in potential scattering theory is here studied in a general and elementary framework. A number of expansions is described and the Fourier-Bessel representation of Wallace is easily obtained in the high-energy limit. Our approach has meaningful analogies with similar methods in quantum field theory. A newly proposed approximation for the scattering amplitude has some optimal features.

Original language	English (US)
Pages (from-to)	253-271
Number of pages	19
Journal	Il Nuovo Cimento A Series 11
Volume	39
Issue number	2
DOIs	https://doi.org/10.1007/BF02769734
State	Published - May 1977

All Science Journal Classification (ASJC) codes

Atomic and Molecular Physics, and Optics
Nuclear and High Energy Physics
Astronomy and Astrophysics

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10.1007/BF02769734

Cite this

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title = "High-energy, Rytov, eikonal expansions",

abstract = "The long-debated problem of the corrections proposed to the Glauber eikonal approximation in potential scattering theory is here studied in a general and elementary framework. A number of expansions is described and the Fourier-Bessel representation of Wallace is easily obtained in the high-energy limit. Our approach has meaningful analogies with similar methods in quantum field theory. A newly proposed approximation for the scattering amplitude has some optimal features.",

author = "Roberto Car and Cicuta, \{G. M.\} and D. Zanon and F. Riva",

year = "1977",

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AU - Car, Roberto

AU - Cicuta, G. M.

AU - Zanon, D.

AU - Riva, F.

PY - 1977/5

Y1 - 1977/5

N2 - The long-debated problem of the corrections proposed to the Glauber eikonal approximation in potential scattering theory is here studied in a general and elementary framework. A number of expansions is described and the Fourier-Bessel representation of Wallace is easily obtained in the high-energy limit. Our approach has meaningful analogies with similar methods in quantum field theory. A newly proposed approximation for the scattering amplitude has some optimal features.

AB - The long-debated problem of the corrections proposed to the Glauber eikonal approximation in potential scattering theory is here studied in a general and elementary framework. A number of expansions is described and the Fourier-Bessel representation of Wallace is easily obtained in the high-energy limit. Our approach has meaningful analogies with similar methods in quantum field theory. A newly proposed approximation for the scattering amplitude has some optimal features.

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UR - https://www.scopus.com/pages/publications/51649163289#tab=citedBy

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DO - 10.1007/BF02769734

M3 - Article

AN - SCOPUS:51649163289

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JO - Il Nuovo Cimento A Series 11

JF - Il Nuovo Cimento A Series 11

IS - 2

ER -

High-energy, Rytov, eikonal expansions

Abstract

All Science Journal Classification (ASJC) codes

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