Porter-Thomas distribution in unstable many-body systems

Abstract

We use the continuum shell model approach to explore the resonance width distribution in unstable many-body systems. The single-particle nature of a decay, the few-body character of the interaction Hamiltonian, and collectivity that emerges in non-stationary systems due to the coupling to the continuum of reaction states are discussed. Correlations between structures of the parent and daughter nuclear systems in the common Fock space are found to result in deviations of decay width statistics from the Porter-Thomas distribution.

5 pages, 4 figures

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Cited by in corpus (11)

• Reduced neutron widths in the nuclear data ensemble: Experiment and theory do not agree
• Resonance width distribution in RMT: Weak coupling regime beyond Porter-Thomas
• Neutron Resonance Widths and the Porter-Thomas Distribution
• Resonance width distribution for open quantum systems
• A maximum likelihood method to correct for missed levels based on the ${\Delta }_3(L)$ statistic
• Neutron Resonance Data Exclude Random Matrix Theory
• Neutron width statistics in a realistic resonance-reaction model
• Porter-Thomas fluctuations in complex quantum systems
• Statistical-model description of $\gamma$ decay from compound-nucleus resonances
• Open Problems in Applying Random-Matrix Theory to Nuclear Reactions
• Test of the Porter-Thomas distribution with the total cross section autocorrelation function