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Decoding Two-Particle States in QCD with Spatial Wavefunctions

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arxiv 2507.09930 v2 pith:BEAFKT2Y submitted 2025-07-14 hep-lat hep-phnucl-th

Decoding Two-Particle States in QCD with Spatial Wavefunctions

classification hep-lat hep-phnucl-th
keywords operatorsomegaoptimizedspatialstatestwo-particlewavefunctionsachieved
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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abstract

A systematic framework for 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 $\Omega_{ccc}\Omega_{ccc}$ system, these optimized operators prove superior to combinations of limited plane-wave operators, enabling the resolution of distinct eigenstates separated by only $\sim 5$ MeV near the threshold $2m_{\Omega_{ccc}} \simeq 9700$ MeV. This exceptional resolving power opens new possibilities for studies of a wide range of hadronic systems in QCD.

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Cited by 1 Pith paper

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  1. Recent progress on charmed hadron interactions from lattice QCD

    hep-lat 2025-09 conditional novelty 2.0

    A review of lattice QCD results on charmed hadron interactions: T_cc near threshold, an attractive N-J/psi force, and an Omega_ccc-Omega_ccc state near unitarity.