We predict, via large-scale calculations carried out in the framework of th
e state-specific theory of resonance states and accounting for all the loca
lized electron correlations, the positions of 11 new triply excited resonan
ces of He- in the region between 68.7 and 70.3 eV. These states can, in pri
nciple, be reached in electron-He 1s(2) S-1 and 1s2s S-3 scattering, and ha
ve the symmetries S-2, (4)p(o), (2)p(o), D-2, F-4(o), F-2(o) and (2)G. A fe
w of these are essentially overlapping. Their zero-order representations co
nsist of strongly mixing n = 3 configurations. Of special significance to a
chieving good convergence of the calculation to local energy minima in the
continuous spectrum, while accounting for a large portion of the bound open
-channel interactions, is the inclusion of open-channellike configurations,
included self-consistently via the multi-configurational Hartree-Fock meth
od. Our results allow the long overdue confirmation and interpretation of R
oy's measurements (Roy D 1977 Phys. Rev. Lett. 38 1062).