Compound nucleus formulation of reaction matrix theory

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dc.contributor.authorCook, JLen_AU
dc.contributor.authorBertram, WKen_AU
dc.date.accessioned2007-11-22T04:34:08Zen_AU
dc.date.accessioned2010-04-30T04:41:58Zen_AU
dc.date.available2007-11-22T04:34:08Zen_AU
dc.date.available2010-04-30T04:41:58Zen_AU
dc.date.issued1972-02en_AU
dc.description.abstractIt is shown that multilevel resonance parameters for each element of the reaction matrix cannot be determined from available data. However, additional constraints may be introduced without affecting agreement with experiment. The Bohr compound nucleus hypothesis is applied to the T-matrix and it is found, as in Newton's model, that the channel matrix can be inverted analytically to provide simple formulae for cross sections, for both the real Wigner-Eisenbud reaction matrix and Moldauer's complex reaction matrix. Wigner-Eisenbud theory leads directly to Newton's strong correlation model and its unacceptable consequences. Moldauer's theory does not and can explain cross section behaviour adequately while being consistent with Bohr's hypothesis. Cross sections can be written as a sum of single level contributions, as in the Adler-Adler formulation. Finally, Moldauer's statistical theory is shown to be applicable, and expressions are derived fr the averaged cross sections as functions of the complex Moldauer resonance parameters.en_AU
dc.identifierAAEC-TM-597en_AU
dc.identifier.citationCook, J. L., & Bertram, W. K. (1971). Compound nucleus formulation of reaction matrix theory (AAEC/TM597). Lucas Heights, N.S.W.: Research Establishment, Australian Atomic Energy Commission.en_AU
dc.identifier.govdoc897en_AU
dc.identifier.isbn0642994358en_AU
dc.identifier.placeofpublicationLucas Heights, New South Walesen_AU
dc.identifier.urihttp://apo.ansto.gov.au/dspace/handle/10238/888en_AU
dc.language.isoen_auen_AU
dc.publisherAustralian Atomic Energy Commissionen_AU
dc.subjectAnalytical solutionen_AU
dc.subjectCompound nucleien_AU
dc.subjectR matrixen_AU
dc.subjectNuclear reactionsen_AU
dc.subjectWigner-Eisenbud theoryen_AU
dc.titleCompound nucleus formulation of reaction matrix theoryen_AU
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