Random matrices and chaos in nuclear physics: Nuclear reactions
By G. Mitchell, A. Richter, H. A. Weidenmüller. 2010
159 citations recorded by the source corpus.
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 and parity) and time-reversal invariance.
Subfields: Nuclear and High Energy Physics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/9a8c661e707588f637c54c8232a4eb38ecc4be5d
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Citations in the corpus
- Light fields in complex media: Mesoscopic scattering meets wave control (2017, background): “…Montambaux, 2007; Imry, 2002; Sebbah, 2001; Stöckmann, 2006), quantum transport (Datta, 1997; Ferry and Goodnick, 1997; Mello and Kumar, 2004) and Random Matrix Theory (Alhassid, 2000; Beenakker, 1997; Mitchell et al., 2010) that has been the principal driving force behind theoretical progress.”
- Coupling functions:universal insights into dynamical interaction mechanisms (2017, background): “…Josephson junction interactions (Golubov et al., 2004), laser diagnostics (Stepowski, 1992), interactions in nuclear physics (Guelfi et al., 2007; Mitchell et al., 2010), geophysics (Murayama, 1982), space science (Feldstein, 1992; Lifton et al., 2005), cosmology (Baldi, 2011; Faraoni et al.,…”
- Radioactive decays at limits of nuclear stability (2011, background): “…interest in the coupling to continuum degrees of freedom, cf. section I.C.3, beta decay processes may provide specific information on isospin mixing that is expected to be enhanced for continuum states at low energy, see e.g. (Garrido et al., 2007; Michel et al., 2010b; Mitchell et al., 2010).”