Information entropies in pion-nucleon scattering and optimal states analysis

The (angle and angular momenta) information entropies as well as the entropic angle-angular momentum uncertainty relations in hadron-hadron scattering are introduced. The experimental information entropies for the pion-nucleon scattering are calculated by using the available phase shifts analyses. These results are compared with the information entropies of the optimal states. Then, the optimal state dominance in pion-nucleon scattering is systematically observed for all Plab = 0.02–10 GeV/c. Moreover, it is shown that the angle-angular momentum entropic uncertainty relations are satisfied with high accuracy by all the experimental information entropies.