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  • Open Access

Three-body resonances of ααM clusters (M=ϕ, J/ψ, ηc) in BeM8 nuclei

Hao Zhou1,2,3 and Xiang Liu1,2,3,4,*

  • 1School of Physical Science and Technology, Lanzhou University, Lanzhou 730000, China
  • 2Lanzhou Center for Theoretical Physics, Key Laboratory of Theoretical Physics of Gansu Province, Key Laboratory of Quantum Theory and Applications of MoE, Gansu Provincial Research Center for Basic Disciplines of Quantum Physics, Lanzhou University, Lanzhou 730000, China
  • 3Research Center for Hadron and CSR Physics, Lanzhou University and Institute of Modern Physics of CAS, Lanzhou 730000, China
  • 4MoE Frontiers Science Center for Rare Isotopes, Lanzhou University, Lanzhou 730000, China

  • *Contact author: xiangliu@lzu.edu.cn

Phys. Rev. D 113, 014031 – Published 26 January, 2026

DOI: https://doi.org/10.1103/s3t5-78dj

Abstract

Motivated by the recently obtained Hadrons to Atomic nuclei from Lattice QCD potentials for the N−ϕ, N−J/ψ, and N−ηc interactions, we investigate the structure of the exotic nuclei Beϕ8, BeJ/ψ8, and Beηc8 as α+α+M three-body systems (M denotes the meson). The bound and resonant states are calculated consistently using the Gaussian expansion method, with resonances identified via the complex scaling method. For the αϕ and α-charmonium interactions, a folding potential is constructed based on the Hadrons to Atomic nuclei from Lattice (HAL) QCD potentials and fitted to a Woods-Saxon form. We find that the ϕ meson exhibits a strong “gluelike” effect, binding the 01+, 21+, and 41+ resonant states of Be8 into stable states and significantly reducing the α−α distance. In contrast, the interactions of J/ψ and ηc with the nucleus are weaker, forming only shallow bound states with the 01+ state of Be8 and even increasing the α−α separation. Notably, our analysis predicts weakly bound α−J/ψ states in the S43/2 and S21/2 channels, a result not reported in prior studies, which suggests that BeJ/ψ8 may not be a Borromean nucleus. The sensitivity of the Beϕ8(41+) state—transitioning from bound to resonant depending on the α-particle radius—highlights the subtle dynamics at play. These results provide a systematic theoretical comparison of how different vector mesons modify nuclear clustering, offering critical predictions for future experimental searches of such exotic hadron-nucleus systems.

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