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arXiv · 1112.4919

Resonance width distribution for open quantum systems

Gavriil Shchedrin·Vladimir Zelevinsky
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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 $Γ$ to the energy level spacing $D$ via the dimensionless parameter $κ=(πΓ/2D)$. The new distribution suppresses small widths and increases the probabilities of larger widths.

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Gavriil Shchedrin, Vladimir Zelevinsky. 2012-10-07. Resonance width distribution for open quantum systems. https://doi.org/10.1103/physrevc.86.044602

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