Distribution of ranks of {\beta}-decay half-lives

TL;DR

This paper analyzes the distribution of 2949 beta-decay half-lives, demonstrating that their ranks follow a beta distribution with two exponents, revealing underlying statistical patterns in nuclear decay data.

Contribution

It introduces an empirical beta law with two exponents to model the rank distribution of beta-decay half-lives, providing a new statistical perspective.

Findings

Beta-decay half-life ranks fit a beta distribution with two exponents

The empirical model accurately describes the rank distribution

Reveals underlying statistical regularities in nuclear decay data

Abstract

I studied the distribution of ranks of values of 2949 {\beta}-decay half-lives according to an empirical beta law with two exponents. {\beta}-decay half-life ranks showed good fit to a beta function with two exponents.