Porter-Thomas distribution in unstable many-body systems

TL;DR

This paper investigates how the distribution of resonance widths in unstable many-body systems deviates from the Porter-Thomas distribution due to correlations in nuclear structures, using the continuum shell model approach.

Contribution

It introduces a detailed analysis of resonance width distributions considering correlations and collectivity in unstable systems, extending the understanding beyond traditional Porter-Thomas assumptions.

Findings

Deviations from Porter-Thomas distribution are caused by correlations between parent and daughter nuclear states.

Collectivity and the few-body nature of interactions influence resonance width statistics.

The continuum shell model effectively captures the impact of these correlations on decay properties.

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.