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Hadrons in lattice QCD are usually created employing smeared interpolators.We introduce a new quark smearing that allows us to maintain small statisticalerrors and good overlaps of hadronic wavefunctions with the respective groundstates, also at high spatial momenta. The method is successfully tested for thepion and the nucleon at a pion mass $m_{\pi}\approx 295$ MeV and momenta ashigh as 2.8 GeV. We compare the results obtained to dispersion relations andsuggest further optimizations.

Novel quark smearing for hadrons with high momenta in lattice QCD