Cross-Section Fluctuations in Chaotic Scattering

TL;DR

This paper develops an analytical approximation for cross-section autocorrelation functions in chaotic scattering, enabling reliable predictions of fluctuations based on experimental and numerical data.

Contribution

It introduces a method to approximate the cross-section autocorrelation function using Davis and Boose's expressions, enhancing predictive capabilities in chaotic scattering.

Findings

Analytical approximation matches experimental data.

Predicts cross-section fluctuations reliably.

Utilizes average S-matrix and level density for predictions.

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.