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arXiv · 0912.4407

Cross-Section Fluctuations in Chaotic Scattering

B. Dietz·H. L. Harney·A. Richter·F. Schaefer·H. A. Weidenmueller
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Abstract

For the theoretical prediction of cross-section fluctuations in chaotic scattering, the cross-section autocorrelation function is needed. That function is not known analytically. Using experimental data and numerical simulations, we show that an analytical approximation to the cross-section autocorrelation function can be obtained with the help of expressions first derived by Davis and Boose. Given the values of the average S-matrix elements and the mean level density of the scattering system, one can then reliably predict cross-section fluctuations.

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B. Dietz, H. L. Harney, A. Richter, F. Schaefer, H. A. Weidenmueller. 2009-12-22. Cross-Section Fluctuations in Chaotic Scattering. https://doi.org/10.1016/j.physletb.2010.01.074

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