Augmentation of nucleon-nucleus scattering by information entropy

TL;DR

This paper investigates how quantum information entropy, derived from nucleon-nucleus scattering amplitudes, varies with nuclear mass and projectile energy, revealing a linear relationship across a range of nuclei and energies.

Contribution

It introduces a novel analysis linking quantum information entropy to nuclear properties and projectile energy, providing new insights into nucleon-nucleus scattering behavior.

Findings

Quantum information entropy depends linearly on the logarithm of nuclear mass.

Entropy shows a linear dependence on the logarithm of projectile energy.

The relationship holds across a wide range of nuclei from helium to lead.

Abstract

Quantum information entropy is calculated from the nucleon nucleus forward scattering amplitudes. Using a representative set of nuclei, from $^4$He to $^{208}$Pb, and energies, $T_{lab} < 1$\,[GeV], we establish a linear dependence of quantum information entropy as functions of logarithm nuclear mass $A$ and logarithm projectile energy $T_{lab}$.