Essential Ingredient for Radial-Composition Correlations in Two-Component Many-Body Systems: Short-Range Attractive Central Force
Nuclear Theory
2026-02-03 v1
Abstract
The linear correlation between RMS radius difference and composition asymmetry in two-component many-body systems is a robust feature observed across nuclear experiments, diverse theoretical models, and metallic nano-alloy cluster calculations. By employing random-interaction ensembles within a Hartree-Fock framework, we demonstrate that this correlation is not a trivial consequence of many-body symmetries. Instead, we identify the short-range, attractive central potential as the essential ingredient for its emergence, a mechanism underpinned by the Moshinsky transformation and the virial theorem within a harmonic-oscillator approximation of such a potential.
Cite
@article{arxiv.2602.00529,
title = {Essential Ingredient for Radial-Composition Correlations in Two-Component Many-Body Systems: Short-Range Attractive Central Force},
author = {Y. Lei},
journal= {arXiv preprint arXiv:2602.00529},
year = {2026}
}