Entanglement suppression and emergent symmetries in hadron scatterings

TL;DR

This paper explores how entanglement suppression in hadron scatterings can lead to emergent symmetries, extending the theory to particles with arbitrary spins and group representations, and making testable predictions.

Contribution

It generalizes the entanglement suppression framework to arbitrary spins and representations, and applies it to specific hadron systems to predict emergent symmetries and new states.

Findings

Entanglement suppression can produce $ ext{SU}(40)$ spin-flavor symmetry in spin-3/2 baryon interactions.

Suppression enhances heavy-quark spin symmetry to light-quark spin symmetry in heavy meson scattering.

Predicted additional states for exotic double-charm mesons, testable by experiments and lattice QCD.

Abstract

Recently entanglement suppression was proposed to be one potential origin of emergent symmetries. In this work, we extend this theoretical framework to accommodate particles with arbitrary spins and/or arbitrary group representations. As case studies, we discuss recent efforts to test the entanglement-suppression conjecture in two hadron systems that exhibit possible emergent symmetries. The first concerns interactions involving spin-3/2 baryons, where entanglement suppression gives rise to symmetries such as $\text{SU}(40)$ spin-flavor symmetry. The second system involves low-energy scattering of heavy mesons, where entanglement suppression leads to an enhancement of the inherent heavy-quark spin symmetry to a light-quark spin symmetry, predicting additional siblings for the prominent exotic double-charm meson $T_{cc}(3875)^+$. These predictions should be confronted against experimental data and lattice results to further test the minimal-entanglement conjecture.