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Optimizing creation operators for charmonium spectroscopy on the lattice

Francesco Knechtli, Tomasz Korzec, Mike Peardon, Juan Andrés Urrea-Niño

2022Physical review. D/Physical review. D.15 citationsDOIOpen Access PDF

Abstract

Smearing the bare quantum fields in lattice calculations before applying composite hadron creation operators has a long record of substantially improving overlaps onto low-lying energy eigenstates. A technique called distillation which defines smearing for quark fields as a low-rank linear projection operator into a small vector space of smooth gauge-covariant fields has proven to be both effective and versatile in hadron spectroscopy calculations albeit with significant computational cost. In this paper, more general operators in this space of smooth fields are introduced and optimized, which enhances the performance of the method when tested on systems of heavy quark-antiquark pairs close to the charmonium energy scale.

Topics & Concepts

Covariant transformationPhysicsEigenvalues and eigenvectorsParticle physicsHadronLattice (music)QuarkSpace (punctuation)Hadron spectroscopyTheoretical physicsQuantum mechanicsComputer scienceAcousticsOperating systemParticle physics theoretical and experimental studiesQuantum Chromodynamics and Particle InteractionsHigh-Energy Particle Collisions Research
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