# Do deviations of neutron scattering widths distribution from the   Porter-Thomas law indicate on failure of the Random Matrix theory?

**Authors:** Oleg V. Zhirov

arXiv: 1812.02485 · 2018-12-07

## TL;DR

This paper investigates whether deviations from the Porter-Thomas law in neutron scattering widths suggest failures in the Random Matrix theory, by calculating these deviations within an extended random matrix framework.

## Contribution

It extends the random matrix approach to account for resonance overlapping and calculates the resulting deviations from the Porter-Thomas law.

## Key findings

- Deviations are quantitatively characterized.
- Resonance overlapping impacts the width distribution.
- Implications for the validity of Random Matrix theory.

## Abstract

Deviations of neutron scattering width distributions from the Porter-Thomas law due to resonances overlapping are calculated in the extended framework of the random matrix approach.

## Full text

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## Figures

8 figures with captions in the complete paper: https://tomesphere.com/paper/1812.02485/full.md

## References

32 references — full list in the complete paper: https://tomesphere.com/paper/1812.02485/full.md

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Source: https://tomesphere.com/paper/1812.02485