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Related Experiment Video

Updated: Mar 12, 2026

$Measurements of Long-range Electronic Correlations During Femtosecond Diffraction Experiments Performed on Nanocrystals of Buckminsterfullerene$

Measurements of Long-range Electronic Correlations During Femtosecond Diffraction Experiments Performed on Nanocrystals of Buckminsterfullerene

Published on: August 22, 2017

Cross-section fluctuations in chaotic scattering systems.

Torleif E O Ericson¹, Barbara Dietz^2,3, Achim Richter²

¹Theory Department, CERN, CH-1211 Geneva, Switzerland.

Physical Review. E

|November 15, 2016

Summary

This summary is machine-generated.

This study presents new analytical expressions for chaotic scattering cross-section correlations, applicable across all resonance types. The findings improve understanding of scattering phenomena and Ericson fluctuations.

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Area of Science:

Nuclear Physics
Quantum Scattering Theory

Background:

Exact analytical expressions for cross-section correlations in chaotic systems are limited.
Previous models accurately described scattering (S)-matrix correlations but had restrictions.

Purpose of the Study:

To provide general analytical expressions for cross-section correlation functions in chaotic scattering.
To extend applicability beyond special conditions and explore underlying physical mechanisms.

Main Methods:

Utilized a statistical Breit-Wigner type model for chaotic scattering amplitudes.
Derived expressions in both energy and time representations.
Analyzed S-matrix contributions using irreducible and reducible correlation functions.

Main Results:

Developed general expressions for cross-section correlations applicable from isolated to overlapping resonances.
Identified dominant self-correlation terms in isolated resonance regions.
Showcased rapid dominance of Ericson fluctuations in well-overlapping resonance regions for inelastic correlations.

Conclusions:

The developed model accurately describes cross-section correlations and their physical mechanisms.
Results show excellent agreement with existing analytical and experimental data.
Provides a robust framework for studying chaotic scattering phenomena.