Proton and neutron polarization differences in the reactionsH3(p→,p)H3andHe3(n→,n)He3

The reactions ${}_{}{}^3{}_{}{}^{}\mathrm{H}(\overrightarrow{p},p){}_{}{}^3{}_{}{}^{}\mathrm{H}$ and ${}_{}{}^3{}_{}{}^{}\mathrm{He}(\overrightarrow{n},n){}_{}{}^3{}_{}{}^{}\mathrm{He}$ are analyzed within the framework of the dynamical $R$-matrix methodology. When compared at equal incident energies, measurements indicate that forward angle ${}_{}{}^3{}_{}{}^{}\mathrm{H}(\overrightarrow{p},p){}_{}{}^3{}_{}{}^{}\mathrm{H}$ polarization values are slightly in excess of ${}_{}{}^3{}_{}{}^{}\mathrm{He}(\overrightarrow{n},n){}_{}{}^3{}_{}{}^{}\mathrm{He}$ values. The model predicts the proton polarization has a slightly larger magnitude at forward angles than the neutron polarization, although their shapes and magnitudes are in qualitative agreement with experiment. Lisowski's phase shift analysis suggests the existence of a narrow resonance near $E_x=37\mathrm{}$ MeV. The model predicts several resonances in the vicinity of this tentative level.