Recent work 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.