Isotopic ratio, isotonic ratio, isobaric ratio and Shannon information uncertainty

TL;DR

This paper introduces an information entropy perspective to analyze isoscaling and isobaric yield ratio difference (IBD) probes, revealing their underlying similarity and providing a unified physical interpretation.

Contribution

It applies information entropy theory to explain the physical meaning of isoscaling and IBD, highlighting their equivalence in information uncertainty analysis.

Findings

Isoscaling and IBD results are similar.

Information uncertainty from IBD equals beta minus alpha from isoscaling.

Provides a unified interpretation of yield ratio probes.

Abstract

The isoscaling and the isobaric yield ratio difference (IBD) probes, which both are constructed by yield ratio of fragment, provide cancelation of parameters. The information entropy theory is introduced to explain the physical meaning of the isoscaling and IBD probes. The similarity between the isoscaling and IBD results is found, i.e., the information uncertainty determined by the IBD method equals to $\beta-\alpha$ determined by the isoscaling [$\alpha$ ($\beta$) is the parameter fitted from the isotopic (isotonic) yield ratio].