Triply excited ${}^{4}S$ resonances of ${\mathrm{He}}^{-}$

Resonances of ${}^4{S}^e$ symmetry in ${\mathrm{He}}^{-}$ are searched for in the region above the ${\mathrm{He}}^{+}\mathrm{}(n=1\mathrm{})\mathrm{}$ threshold and below the ${\mathrm{He}}^{+}\mathrm{}(n=2\mathrm{})\mathrm{}$ threshold. The energies and widths of the resonances are calculated with an ab initio three-electron description of the ion. The complex rotation method is combined with the use of B splines in a spherical cavity to describe the ion and the decay channels. Seven resonances are found and five are presented with energy position and width.