Novel quark smearing for hadrons with high momenta in lattice QCD

TL;DR

This paper introduces a new quark smearing technique in lattice QCD that improves the statistical accuracy and ground state overlap of hadrons at high momenta, demonstrated on pion and nucleon data.

Contribution

A novel quark smearing method that enhances high-momentum hadron studies in lattice QCD, maintaining accuracy and overlap quality.

Findings

Effective for pion and nucleon at high momenta up to 2.8 GeV.

Maintains small statistical errors and good ground state overlaps.

Results align with dispersion relation predictions.

Abstract

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