Elastic enhancement factor: From mesoscopic systems to macroscopic analogous devices

Valentin V. Sokolov and Oleg V. Zhirov
Phys. Rev. E 91, 052917 – Published 21 May 2015

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(β) 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.

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  • Received 1 December 2014

DOI:https://doi.org/10.1103/PhysRevE.91.052917

©2015 American Physical Society

Authors & Affiliations

Valentin V. Sokolov* and Oleg V. Zhirov

  • Budker Institute of Nuclear Physics of SB RAS, Novosibirsk, Russia and Novosibirsk Technical University, Novosibirsk, Russia

  • *v.v.sokolov@inp.nsk.su

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Vol. 91, Iss. 5 — May 2015

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