- Open Access
Three-body resonances of clusters (, , ) in nuclei
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 , , and interactions, we investigate the structure of the exotic nuclei , , and as three-body systems ( 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 and -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 meson exhibits a strong “gluelike” effect, binding the , , and resonant states of into stable states and significantly reducing the distance. In contrast, the interactions of and with the nucleus are weaker, forming only shallow bound states with the state of and even increasing the separation. Notably, our analysis predicts weakly bound states in the and channels, a result not reported in prior studies, which suggests that may not be a Borromean nucleus. The sensitivity of the state—transitioning from bound to resonant depending on the -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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