Bound states of $_{c\bar{c}}^{9}$Be within $c\bar{c}+α+α$ cluster models based on state-of-the-art HAL QCD charmonium-nucleon interactions
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| Format: | Preprint |
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2025
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| _version_ | 1866908480068124672 |
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| author | Etminan, Faisal |
| author_facet | Etminan, Faisal |
| contents | The possible bound state of the $ _{c\bar{c}}^{9}$Be, a charmonium-nucleus system, is investigated. The analysis is carried out within a three-cluster model, where its binary subsystems are represented as $ c\bar{c}\textrm{+}α$ and $α+α$. The hyperspherical harmonics method is employed to facilitate a convenient description of this three-cluster configuration. The calculations are done by employing the effective $ c\bar{c}\textrm{-}α$ potentials.
These potentials were derived recently based on state-of-the-art lattice QCD calculations, which provided interactions for the spin 3/2 $J/ψN $, spin 1/2 $J/ψN $, spin 1/2 $η_{c}N$ and spin-averaged $J/ψN$ interactions, all obtained with nearly physical pion masses. The Coulomb interaction was also incorporated into the current calculations. It is determined that, despite neither the $ _{c\bar{c}}^{5}$He nor the $^{8}$Be binary subsystems being bound, a bound state of the $ c\bar{c}\textrm{-} αα$ nuclear system could potentially exist. The maximum central binding energy is found to be approximately 1.71 MeV, based on the spin 1/2 $J/ψN $ interaction, while a minimum value of about 0.56 MeV is obtained from calculations involving the spin 1/2 $η_{c}N$ interaction. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2508_02653 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Bound states of $_{c\bar{c}}^{9}$Be within $c\bar{c}+α+α$ cluster models based on state-of-the-art HAL QCD charmonium-nucleon interactions Etminan, Faisal Nuclear Theory The possible bound state of the $ _{c\bar{c}}^{9}$Be, a charmonium-nucleus system, is investigated. The analysis is carried out within a three-cluster model, where its binary subsystems are represented as $ c\bar{c}\textrm{+}α$ and $α+α$. The hyperspherical harmonics method is employed to facilitate a convenient description of this three-cluster configuration. The calculations are done by employing the effective $ c\bar{c}\textrm{-}α$ potentials. These potentials were derived recently based on state-of-the-art lattice QCD calculations, which provided interactions for the spin 3/2 $J/ψN $, spin 1/2 $J/ψN $, spin 1/2 $η_{c}N$ and spin-averaged $J/ψN$ interactions, all obtained with nearly physical pion masses. The Coulomb interaction was also incorporated into the current calculations. It is determined that, despite neither the $ _{c\bar{c}}^{5}$He nor the $^{8}$Be binary subsystems being bound, a bound state of the $ c\bar{c}\textrm{-} αα$ nuclear system could potentially exist. The maximum central binding energy is found to be approximately 1.71 MeV, based on the spin 1/2 $J/ψN $ interaction, while a minimum value of about 0.56 MeV is obtained from calculations involving the spin 1/2 $η_{c}N$ interaction. |
| title | Bound states of $_{c\bar{c}}^{9}$Be within $c\bar{c}+α+α$ cluster models based on state-of-the-art HAL QCD charmonium-nucleon interactions |
| topic | Nuclear Theory |
| url | https://arxiv.org/abs/2508.02653 |