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Foundations of the Optical Model for Nuclei and Direct Interaction

Foundations of the Optical Model for Nuclei and Direct Interaction and Direct Interaction G. E. BROWN Department of Mathematical Physics, University of Birmingham, Brimingham, England I. INTRODUCTION THIS paper gives a description of the scattering of particles of energies in the kev and AMev range by complex nuclei. Starting from exact many-level formulas for the scattering amplitude, we show that several phenomena which were inexplicable in the old compound-nucleus theory arise from phase relations between the nuclear levels, whereas terms in which phase relations would not seem to be important corre- spond to the scattering predicted by the old compound- nucleus picture, supplemented by statistical assumptions. This paper might be described as a treatment of the theory of nuclear reactions in the region in which many nuclear levels participate in the scattering. Thus, it is complementary to the comprehensive article of Lane and Thomas' where the treatment is particularly appro- priate to the case in which few levels contribute. These authors employed the R-matrix theory of Wigner and Eisenbud2 which is especially well adapted to the low- energy case because it makes the energy dependence of all expressions as explicit as possible. We employ here the formalism of Kapur and Peierls3 which has the great advantage for the http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Reviews of Modern Physics American Physical Society (APS)

Foundations of the Optical Model for Nuclei and Direct Interaction

BROWN, G. E
Reviews of Modern Physics , Volume 31 (4) – Oct 1, 1959
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Publisher
American Physical Society (APS)
Copyright
Copyright © 1959 The American Physical Society
ISSN
1539-0756
DOI
10.1103/RevModPhys.31.893
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Abstract

and Direct Interaction G. E. BROWN Department of Mathematical Physics, University of Birmingham, Brimingham, England I. INTRODUCTION THIS paper gives a description of the scattering of particles of energies in the kev and AMev range by complex nuclei. Starting from exact many-level formulas for the scattering amplitude, we show that several phenomena which were inexplicable in the old compound-nucleus theory arise from phase relations between the nuclear levels, whereas terms in which phase relations would not seem to be important corre- spond to the scattering predicted by the old compound- nucleus picture, supplemented by statistical assumptions. This paper might be described as a treatment of the theory of nuclear reactions in the region in which many nuclear levels participate in the scattering. Thus, it is complementary to the comprehensive article of Lane and Thomas' where the treatment is particularly appro- priate to the case in which few levels contribute. These authors employed the R-matrix theory of Wigner and Eisenbud2 which is especially well adapted to the low- energy case because it makes the energy dependence of all expressions as explicit as possible. We employ here the formalism of Kapur and Peierls3 which has the great advantage for the

Journal

Reviews of Modern Physics – American Physical Society (APS)

Published: Oct 1, 1959

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