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  Random Matrices and Chaos in Nuclear Physics: Nuclear Reactions

Mitchell, G. E., Richter, A., & Weidenmüller, H. A. (2010). Random Matrices and Chaos in Nuclear Physics: Nuclear Reactions. Reviews of Modern Physics, 82(4), 2845-2901. Retrieved from http://arxiv.org/abs/1001.2422.

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1001.2422 (Preprint), 4MB
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1001.2422
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File downloaded from arXiv at 2011-11-03 14:23
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 Creators:
Mitchell, G. E., Author
Richter, A., Author
Weidenmüller, Hans A.1, Author           
Affiliations:
1Prof. Hans A. Weidenmüller, Emeriti, MPI for Nuclear Physics, Max Planck Society, ou_907547              

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Free keywords: Nuclear Theory, nucl-th
 Abstract: The application of random-matrix theory (RMT) to compound-nucleus (CN) reactions is reviewed. An introduction into the basic concepts of nuclear scattering theory is followed by a survey of phenomenological approaches to CN scattering. The implementation of a random-matrix approach into scattering theory leads to a statistical theory of CN reactions. Since RMT applies generically to chaotic quantum systems, that theory is, at the same time, a generic theory of quantum chaotic scattering. It uses a minimum of input parameters (average S-matrix and mean level spacing of the CN). Predictions of the theory are derived with the help of field-theoretical methods adapted from condensed-matter physics and compared with those of phenomenological approaches. Thorough tests of the theory are reviewed, as are applications in nuclear physics, with special attention given to violation of symmetries (isospin, parity) and time-reversal invariance.

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 Dates: 2010-01-142010-10-05
 Publication Status: Issued
 Pages: 50 pages, 26 figures
 Publishing info: -
 Table of Contents: -
 Rev. Type: -
 Identifiers: arXiv: 1001.2422
URI: http://arxiv.org/abs/1001.2422
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Title: Reviews of Modern Physics
  Other : Rev. Modern Phys.
Source Genre: Journal
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Publ. Info: Minneapolis : American Physical Society
Pages: - Volume / Issue: 82 (4) Sequence Number: - Start / End Page: 2845 - 2901 Identifier: ISSN: 0034-6861
CoNE: https://pure.mpg.de/cone/journals/resource/954925438533