Investigating three-body resonances in $ααΩ/Ω_{ccc}$ clusters within the $^{9}_{Ω/Ω_{ccc}}{\mathrm{Be}}$ nucleus

Abstract

We investigate the bound and resonant states of the $α+α+Ω$ and $α+α+Ω_{ccc}$ three-body systems, corresponding to $^{9}_Ω{\mathrm{Be}}$ and $^{9}_{Ω_{ccc}}{\mathrm{Be}}$, within the Gaussian expansion method combined with the complex scaling method. The $αΩ$ and $αΩ_{ccc}$ interactions are constructed by folding the $NΩ$ and $NΩ_{ccc}$ potentials obtained from lattice QCD calculations by the HAL QCD Collaboration with the nucleon density distribution of the $α$ particle. The uncertainty associated with the $α$-particle matter radius is also examined. For the $Ω$ sector, the strong $NΩ$ attraction generates deeply bound $0_1^+$, $2_1^+$, and $4_1^+$ states in $^{9}_Ω{\mathrm{Be}}$, accompanied by a pronounced contraction of the $αα$ core, demonstrating a strong gluelike effect of the $Ω$ baryon. An unconventional inversion between the $0_1^+$ and $4_1^+$ levels is also predicted. In contrast, the $Ω_{ccc}$ baryon produces considerably weaker attraction: the $0_1^+$ state of $^{9}_{Ω_{ccc}}{\mathrm{Be}}$ is weakly bound, whereas the $2_1^+$ and $4_1^+$ states remain resonances. Their resonance energies and widths exhibit a clear dependence on the strength of the $αΩ_{ccc}$ interaction. These results reveal qualitatively different gluelike behaviors of the $Ω$ and $Ω_{ccc}$ baryons and provide predictions for the spectroscopy of exotic multistrange and triply charmed hypernuclei.