Lowest ${}_{}{}^1{}_{}{}^{}S$ and ${}_{}{}^3{}_{}{}^{}P$ Scattering Resonances in the $e-\mathrm{H}$ System

A study of the position and width of the lowest ${}_{}{}^1{}_{}{}^{}S$ and ${}_{}{}^3{}_{}{}^{}P$ resonances in the $e-\mathrm{H}$ system was made by judiciously comparing the published data of McGowan, Clarke, and Curley with values of the cross section calculated for a variety of resonance positions $E_0^{}{}_{}{}^{+}$ and $E_0^{}{}_{}{}^{-}$, and widths $\Gamma _0^{}{}_{}{}^{+}$ and $\Gamma _1^{}{}_{}{}^{-}$. It is determined that the ${}_{}{}^1{}_{}{}^{}S$ and ${}_{}{}^3{}_{}{}^{}P$ resonance positions are $E_0^{}{}_{}{}^{+}=9.56\mathrm{}\pm 0.01$ eV and $E_1^{}{}_{}{}^{-}=9.71\mathrm{}\pm 0.03$ eV, while the respective widths are $\Gamma _0^{}{}_{}{}^{+}=0.043\mathrm{}\pm 0.006$ eV and $\Gamma _1^{}{}_{}{}^{-}\ge 0.009$ eV. The resonance shapes are shown to depend critically upon both the angle of observation and the angular resolution.