Existence and characterization ofn= 3 triply excited resonances of He-

We predict, via large-scale calculations carried out in the framework of the state-specific theory of resonance states and accounting for all the localized electron correlations, the positions of 11 new triply excited resonances of He - in the region between 68.7 and 70.3 eV. These states can, in principle, be reached in electron-He 1s 2 1 S and 1s2s 3 S scattering, and have the symmetries 2 S, 4 P o , 2 P o , 2 D, 4 F o , 2 F o and 2 G. A few of these are essentially overlapping. Their zero-order representations consist of strongly mixing n = 3 configurations. Of special significance to achieving 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-channel-like configurations, included self-consistently via the multi-configurational Hartree-Fock method. Our results allow the long overdue confirmation and interpretation of Roy's measurements (Roy D 1977 Phys. Rev. Lett. 38 1062).