  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.
