Entanglement minimization in hadronic scattering with pions

TL;DR

This paper investigates the conjecture that entanglement is minimized in low-energy pion-nucleon scattering, analyzing the entanglement power of the S-matrix and comparing results with large-Nc QCD predictions.

Contribution

It extends the entanglement minimization conjecture to pion-involved scattering processes and constructs the entanglement power for these systems.

Findings

Entanglement power of the ππ and πN S-matrices is computed.

Minimization of entanglement suggests new spin-flavor symmetries.

Results are compared with large-Nc QCD expectations.

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.