Elastic Enhancement Factor: from Mesoscopic Systems to Macroscopic Analogous Devices

TL;DR

This paper explores the elastic enhancement factor across mesoscopic and macroscopic systems, revealing qualitative differences and providing an analytical solution for systems lacking time-reversal symmetry with few channels.

Contribution

It offers a comprehensive analysis of the elastic enhancement factor from mesoscopic to macroscopic devices and presents a complete analytical solution for specific cases.

Findings

Significant qualitative differences in the enhancement factor between mesoscopic and macroscopic systems.

Analytical solution for systems without time-reversal symmetry and few channels.

The enhancement factor can reveal the nature of the underlying dynamics in complex scattering processes.

Abstract

Excess of probabilities of elastic processes over inelastic ones is a characteristic feature of the chaotic resonance scattering predicted by the random matrix theory (RMT). Quantitatively, this phenomenon is characterized by the elastic enhancement factor $F^{(\beta)}$ that is, essentially, a typical ratio of elastic and inelastic cross sections. Being measured experimentally, this quantity can provide important information on the character of dynamics of the complicated intermediate open system formed on the intermediate stage of various resonance scattering processes. We discuss properties of the enhancement factor in a wide scope from mesoscopoic systems as, for example, heavy nuclei to macroscopic electromagnetic analogous devices imitating two-dimensional quantum billiards. We demonstrate a substantial qualitative distinction between the elastic enhancement factor's peculiarities in these two cases. A complete analytical solution is found for the case of systems without time-reversal symmetry and only a few equivalent open scattering channels.