Decoding Two-Particle States in QCD with Spatial Wavefunctions
Abstract
A systematic way to constructing optimized interpolating operators strongly coupled to QCD two-particle states is developed, which is achieved by incorporating inter-hadron spatial wavefunctions. To efficiently implement these operators in lattice QCD, a novel quark smearing technique utilizing noise vectors is proposed. Applied to the cccccc system, the optimized operators resolve distinct eigenstates separated by only 5 MeV near the threshold 2m_ccc 9700 MeV. This exceptional resolving power opens new possibilities for studies of a wide range of hadronic systems in QCD.
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