English

Resonance width distribution for open quantum systems

Nuclear Theory 2012-10-09 v3 Disordered Systems and Neural Networks

Abstract

Recent measurements of resonance widths for low-energy neutron scattering off heavy nuclei show large deviations from the standard Porter-Thomas distribution. We propose a new resonance width distribution based on the random matrix theory for an open quantum system. Two methods of derivation lead to a single analytical expression; in the limit of vanishing continuum coupling, we recover the Porter-Thomas distribution. The result depends on the ratio of typical widths Γ\Gamma to the energy level spacing DD via the dimensionless parameter κ=(πΓ/2D)\kappa=(\pi\Gamma/2D). The new distribution suppresses small widths and increases the probabilities of larger widths.

Keywords

Cite

@article{arxiv.1112.4919,
  title  = {Resonance width distribution for open quantum systems},
  author = {Gavriil Shchedrin and Vladimir Zelevinsky},
  journal= {arXiv preprint arXiv:1112.4919},
  year   = {2012}
}

Comments

8 pages, 2 figures

R2 v1 2026-06-21T19:54:58.035Z