Exploring Short-Range Correlations in Symmetric Nuclei: Insights into Contacts and Entanglement Entropy

TL;DR

This paper investigates the relationship between orbital entanglement entropy and Tan contact in symmetric nuclei, revealing a scaling relation that links these quantum properties and provides insights into short-range correlations in nuclear systems.

Contribution

It uncovers a proportionality between entanglement entropy and Tan contact in symmetric nuclei, offering a novel explanation for their scaling behavior in nuclear physics.

Findings

Orbital entanglement entropy and Tan contact are proportional in SRC pairs.

The ratio of entanglement entropy between proton-proton and neutron-proton pairs is approximately 2.0.

The scaling relation is proposed to hold for all symmetric nuclei.

Abstract

The Short-Range Correlations between nucleons in nuclei is regarded as a complex system. We investigate the relationship between the orbital entanglement entropy of SRCs $S_{ij}$ in nuclear structures and Tan contact $c_{ij}$, and find that the orbital entanglement entropies and Tan contacts corresponding to proton-proton SRC pairs and neutron-proton SRC pairs in nuclei demonstrate a scaling relation. More specifically, the proportionality of entanglement entropy between proton-proton pairs and neutron-proton pairs is directly related to the ratio of nuclear contacts within the atomic nucleus, demonstrating an approximate ratio of 2.0. Our research suggests that this scaling relationship should hold true for all symmetric nuclei, furthermore, we offer a possible explanation for this phenomenon.