Entanglement minimization in hadronic scattering with pions

Abstract

Recent work arXiv:1812.03138 [nucl-th] conjectured that entanglement is minimized in low-energy hadronic scattering processes. It was shown that the minimization of the entanglement power (EP) of the low-energy baryon-baryon $S$-matrix implies novel spin-flavor symmetries that are distinct from large-$N_c$ QCD predictions and are confirmed by high-precision lattice QCD simulations. Here the conjecture of minimal entanglement is investigated for scattering processes involving pions and nucleons. The EP of the $S$-matrix is constructed for the $\pi \pi$ and $\pi N$ systems, and the consequences of minimization of entanglement are discussed and compared with large-$N_c$ QCD expectations.

18 pages, 2 figures. References and clarifications added in v2

References in corpus (3)

• Variation of Entanglement Entropy in Scattering Process
• Geometry and entanglement in the scattering matrix
• Selection rules for the S-Matrix bootstrap

Cited by in corpus (7)

• Preparations for Quantum Simulations of Quantum Chromodynamics in 1+1 Dimensions: (I) Axial Gauge
• Minimal Entanglement and Emergent Symmetries in Low-energy QCD
• Nuclear Forces for Precision Nuclear Physics -- a collection of perspectives
• Entanglement generation in few-nucleon scattering
• Bell inequalities in 2-2 scattering
• Entanglement between Valence and Sea Quarks in Hadrons of 1+1 Dimensional QCD
• Entanglement and scattering in quantum electrodynamics: S-matrix information from an entangled spectator particle