Polarization of hypernuclei in the (π+,K+) reaction

Cross sections and polarizations for the (${\pi }^{+}$,$K^{+}$) hypernuclear production reaction are newly formulated in the correct full scheme based on both the elementary spin-nonflip f and the spin-flip g amplitudes, avoiding thus previous approximations and oversimplifications. Importance of this novel formulation is demonstrated for ${}_{}{}^{12}{}_{}{}^{}\mathrm{C}$, ${}_{}{}^{16}{}_{}{}^{}\mathrm{O}$, ${}_{}{}^{28}{}_{}{}^{}\mathrm{Si}$, and ${}_{}{}^{56}{}_{}{}^{}\mathrm{Fe}$ targets. Particular states indeed acquire both large cross sections and large polarizations, which has an important bearing on experimental projects.