Decoding Two-Particle States in QCD with Spatial Wavefunctions

Yan Lyu; Sinya Aoki; Takumi Doi; Tetsuo Hatsuda; Kotaro Murakami; Takuya Sugiura

Decoding Two-Particle States in QCD with Spatial Wavefunctions

High Energy Physics - Lattice 2025-07-15 v1 High Energy Physics - Phenomenology Nuclear Theory

Authors: Yan Lyu , Sinya Aoki , Takumi Doi , Tetsuo Hatsuda , Kotaro Murakami , Takuya Sugiura

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 $\Omega_{ccc}\Omega_{ccc}$ system, the optimized operators resolve 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.

Keywords

lattice qcd computational physics quantum optics and quantum information

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@article{arxiv.2507.09930,
  title  = {Decoding Two-Particle States in QCD with Spatial Wavefunctions},
  author = {Yan Lyu and Sinya Aoki and Takumi Doi and Tetsuo Hatsuda and Kotaro Murakami and Takuya Sugiura},
  journal= {arXiv preprint arXiv:2507.09930},
  year   = {2025}
}

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5 pages

Decoding Two-Particle States in QCD with Spatial Wavefunctions

Abstract

Keywords

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