Essential Ingredient for Radial-Composition Correlations in Two-Component Many-Body Systems: Short-Range Attractive Central Force

TL;DR

This paper reveals that a short-range, attractive central force is crucial for the observed correlation between size differences and composition asymmetry in two-component many-body systems, supported by theoretical analysis.

Contribution

It identifies the short-range attractive central potential as the key factor behind the correlation, using random-interaction ensembles and harmonic-oscillator approximations.

Findings

Correlation persists across models and experiments.

Short-range attractive potential is essential for the correlation.

The mechanism is explained via Moshinsky transformation and virial theorem.

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.