Distribution of Off-Diagonal Cross Sections in Quantum Chaotic Scattering: Exact Results and Data Comparison

TL;DR

This paper derives exact analytical distributions for off-diagonal cross sections in quantum chaotic scattering, enabling better interpretation of experimental data and addressing a longstanding problem in the field.

Contribution

It provides the first exact analytical distributions for off-diagonal cross sections in quantum chaotic systems within the Heidelberg approach.

Findings

Distributions match experimental microwave and nuclear data.

Transition from isolated resonances to Ericson regime analyzed.

Addresses a problem from over fifty years ago.

Abstract

The recently derived distributions for the scattering-matrix elements in quantum chaotic systems are not accessible in the majority of experiments, whereas the cross sections are. We analytically compute distributions for the off-diagonal cross sections in the Heidelberg approach, which is ap- plicable to a wide range of quantum chaotic systems. We thus eventually fully solve a problem which already arose more than half a century ago in compound-nucleus scattering. We compare our results with data from microwave and compound-nucleus experiments, particularly addressing the transition from isolated resonances towards the Ericson regime of strongly overlapping ones.