Parameters of the best approximation for distribution of the reduced neutron widths. Specificity of full-scale method of analysis

TL;DR

This paper introduces a method for analyzing the statistical distribution of reduced neutron widths, accounting for mixed distributions and varying data thresholds, to reliably estimate distribution parameters.

Contribution

It presents a novel full-scale analysis method that handles superpositions of functions with non-zero means and arbitrary dispersions in neutron width distributions.

Findings

The method reliably estimates distribution parameters across different resonance counts.

It effectively accounts for the coexistence of multiple distribution functions.

The approach adapts to changes in the resonance registration threshold.

Abstract

The method is described and tested for analysis of statistical parameters of reduced neutron widths distributions accounting for possibility of coexistence of superposition of some functions with non-zero mean values of neutron amplitude and its arbitrary dispersion. The possibility to obtain reliable values of distribution parameters at variation of number of resonances involved in analysis and change of registration threshold of resonances with the lowest widths is studied.