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  • Letter
  • Open Access

Decoding two-particle states in QCD with spatial wavefunctions

Yan Lyu1,*, Sinya Aoki2,3,†, Takumi Doi1,‡, Tetsuo Hatsuda1,4,§, Kotaro Murakami5,1,∥, and Takuya Sugiura6,1,¶

  • *Contact author: yan.lyu@riken.jp
  • †Contact author: saoki@yukawa.kyoto-u.ac.jp
  • ‡Contact author: doi@ribf.riken.jp
  • §Contact author: thatsuda@riken.jp
  • ∥Contact author: kotaro.murakami@yukawa.kyoto-u.ac.jp
  • Contact author: sugiura@rcnp.osaka-u.ac.jp
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Phys. Rev. D 114, L011503 – Published 21 July, 2026

DOI: https://doi.org/10.1103/txns-1nfk

Abstract

A systematic framework for constructing optimized interpolating operators strongly coupled to QCD two-particle states is developed, which is achieved by incorporating interhadron spatial wave functions. To efficiently implement these operators in lattice QCD, a novel quark smearing technique utilizing noise vectors is proposed. Applied to the ΩcccΩccc system, these optimized operators prove superior to combinations of limited plane-wave operators, enabling the resolution of distinct eigenstates separated by only ∼5  MeV near the threshold 2mΩccc≃9700  MeV. This exceptional resolving power opens new possibilities for studies of a wide range of hadronic systems in QCD.

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See Also

Wave-function-based operator optimization for two-hadron systems in lattice QCD

Yan Lyu, Sinya Aoki, Takumi Doi, Tetsuo Hatsuda, Kotaro Murakami, and Takuya Sugiura
Phys. Rev. D 114, 014506 (2026)

Article Text

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Phys. Rev. D 114, L011503– Published 21 July, 2026
  • Received 20 July 2025
  • Accepted 9 June 2026
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.

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