Resonance width distribution for open quantum systems

Details Resonance width distribution for open quantum systems Resonance width distribution for open quantum systems

2011-12-21

arxiv.org/abs/1112.4919v2

Physics

Nuclear Physics

Nuclear Theory

4 pages, 1 figure

Scientific paper

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 $\Gamma$ to the energy level spacing $D$ via the dimensionless parameter $\kappa=(\pi\Gamma/2D)$. The new distribution suppresses small widths and increases the probabilities of larger widths.

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