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In this paper, I show that backward (in time) running states can beexplicitly accounted for by expanding the interpolator basis in the variationalmethod in lattice QCD. The backward running states can then be removed bychoosing an appropriate linear combination of interpolators, which improves thesignal significantly. The proof of principle, which also makes use of theTime-Shift Trick (Generalized Pencil-of-Functions method), will be delivered atan example on a $64^4$ lattice close to the physical pion mass.

Expanding the Interpolator Basis in the Variational Method to Explicitly Account for Backward Running States