  Two measures are defined to evaluate the coupling strength of smeared
interpolating operators to hadronic states at a variety of momenta. Of
particular interest is the extent to which strong overlap can be obtained with
individual high-momentum states. This is vital to exploring hadronic structure
at high momentum transfers on the lattice and addressing interesting phenomena
observed experimentally. We consider a novel idea of altering the shape of the
smeared operator to match the Lorentz contraction of the probability
distribution of the high-momentum state, and show a reduction in the relative
error of the two-point function by employing this technique. Our most important
finding is that the overlap of the states becomes very sharp in the smearing
parameters at high momenta and fine tuning is required to ensure strong overlap
with these states.
