New possible properties of atomic nuclei investigated by non linear methods: Fractal and recurrence quantification analysis

TL;DR

This study applies nonlinear analysis methods to atomic nuclei, revealing potential chaotic, fractal, and self-similar properties in the mass increase mechanism, opening new avenues for nuclear research.

Contribution

It introduces the first application of nonlinear analysis techniques, including RQA and fractal analysis, to atomic nuclei, uncovering new regularities and regimes in nuclear mass increase.

Findings

Nonlinear effects are present in atomic nuclei mass increase.

Evidence of fractal and self-similar properties in nuclei.

Detection of stability oscillations during mass increase.

Abstract

For the first time we apply the methodologies of nonlinear analysis to investigate atomic matter. We use these methods in the analysis of Atomic Weights and of Mass Number of atomic nuclei. Using the AutoCorrelation Function and Mutual Information we establish the presence of nonlinear effects in the mechanism of increasing mass of atomic nuclei considered as a function of the atomic number. We find that increasing mass is divergent, possibly chaotic. We also investigate the possible existence of a Power Law for atomic nuclei and, using also the technique of the variogram, we conclude that a fractal regime could superintend to the mechanism of increasing mass for nuclei. Finally, using the Hurst exponent, evidence is obtained that the mechanism of increasing mass in atomic nuclei is in the fractional Brownian regime. The most interesting results are obtained by using Recurrence Quantification Analysis (RQA). New recurrences, psudoperiodicities, self-resemblance and class of self-similarities are identified with values of determinism showing oscillating values indicating the presence of more or less stability during the process of increasing mass of atomic nuclei. In brief, new regimes of regularities are identified for atomic nuclei that deserve to be studied by future researches. In particular an accurate analysis of binding energy values by nonlinear methods is further required.