Bootstrap technique to study correlation between neutron skin thickness and the slope of symmetry energy in atomic nuclei

TL;DR

This paper introduces a bootstrap statistical method to evaluate the correlation between neutron skin thickness and the slope of symmetry energy in atomic nuclei, providing a robust way to quantify their relationship.

Contribution

It presents a novel bootstrap-based approach to assess the confidence intervals of correlation coefficients in nuclear physics data analysis.

Findings

Established a statistical correlation between neutron skin thickness and symmetry energy slope.

Provided confidence intervals for correlation coefficients using bootstrap sampling.

Enhanced the reliability of correlation assessments in nuclear physics studies.

Abstract

We present a new statistical tool based on random sampling to assess the confidence interval of Pearson's and Spearman's correlation coefficients. These estimators are then used to quantify the statistical correlations among the neutron skin thickness of atomic nuclei and the slope of the symmetry energy in the infinite nuclear medium.