Quantitative predictions of alpha-charmonium correlation functions in high-energy collisions
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2025
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| _version_ | 1866914131889618944 |
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| author | Etminan, Faisal |
| author_facet | Etminan, Faisal |
| contents | Two-body $ ^{4}\textrm{He}\left(α\right)$-charmonium $ \left(c\bar{c}\right) $ potentials in the single-folding potential (SFP) approach are built by using a first principles HAL QCD low-energy $ NJ/ψ$ and $ Nη_{c} $ interactions. The $N\textrm{-}c\bar{c}$ potentials are observed to exhibit an attractive nature across all distances, accompanied by a characteristic long-range tail. It is found that the $ α\textrm{-}J/ψ$ system appears to be loosely bound with the central binding energy in the range of 0.1-0.6 MeV, while for spin-$ 1/2 $ $α\textrm{-}η_{c}$, no bound or resonance state (with respect to the $ α\textrm{-} c\bar{c} $ threshold) was found. The $ α\textrm{-}c\bar{c} $ correlation function in high-energy collisions is examined to explore the $ N\textrm{-}c\bar{c} $ interaction. The analysis revealed that variations in spin-dependent $α\textrm{-}c\bar{c}$ interactions-spin-$3/2$ $α\textrm{-}J/ψ$, spin-$1/2$ $α\textrm{-}J/ψ$, spin-$1/2$ $α\textrm{-}η_c$, and the spin-averaged $α\textrm{-}J/ψ$-produce noticeable differences in the $α\textrm{-}c\bar{c}$ correlation function, especially when the source size is around $ 3 $ fm. It is found that different results are produced by the Lednicky-Lyuboshits formula at small source sizes. This indicates that a relatively long-range interaction exists for the $ α\textrm{-}c\bar{c} $ system. Furthermore, a comparison has been conducted between two density functions of $ ^{4}\textrm{He}$ the central depression (CD) and the simple single Gaussian (SG) density-both of which share an identical rms radius of 1.56 fm. Although the $α\textrm{-}J/ψ$ binding energies for the two models are nearly indistinguishable, their corresponding correlation functions demonstrate markedly different behaviors. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2506_14724 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Quantitative predictions of alpha-charmonium correlation functions in high-energy collisions Etminan, Faisal Nuclear Theory Two-body $ ^{4}\textrm{He}\left(α\right)$-charmonium $ \left(c\bar{c}\right) $ potentials in the single-folding potential (SFP) approach are built by using a first principles HAL QCD low-energy $ NJ/ψ$ and $ Nη_{c} $ interactions. The $N\textrm{-}c\bar{c}$ potentials are observed to exhibit an attractive nature across all distances, accompanied by a characteristic long-range tail. It is found that the $ α\textrm{-}J/ψ$ system appears to be loosely bound with the central binding energy in the range of 0.1-0.6 MeV, while for spin-$ 1/2 $ $α\textrm{-}η_{c}$, no bound or resonance state (with respect to the $ α\textrm{-} c\bar{c} $ threshold) was found. The $ α\textrm{-}c\bar{c} $ correlation function in high-energy collisions is examined to explore the $ N\textrm{-}c\bar{c} $ interaction. The analysis revealed that variations in spin-dependent $α\textrm{-}c\bar{c}$ interactions-spin-$3/2$ $α\textrm{-}J/ψ$, spin-$1/2$ $α\textrm{-}J/ψ$, spin-$1/2$ $α\textrm{-}η_c$, and the spin-averaged $α\textrm{-}J/ψ$-produce noticeable differences in the $α\textrm{-}c\bar{c}$ correlation function, especially when the source size is around $ 3 $ fm. It is found that different results are produced by the Lednicky-Lyuboshits formula at small source sizes. This indicates that a relatively long-range interaction exists for the $ α\textrm{-}c\bar{c} $ system. Furthermore, a comparison has been conducted between two density functions of $ ^{4}\textrm{He}$ the central depression (CD) and the simple single Gaussian (SG) density-both of which share an identical rms radius of 1.56 fm. Although the $α\textrm{-}J/ψ$ binding energies for the two models are nearly indistinguishable, their corresponding correlation functions demonstrate markedly different behaviors. |
| title | Quantitative predictions of alpha-charmonium correlation functions in high-energy collisions |
| topic | Nuclear Theory |
| url | https://arxiv.org/abs/2506.14724 |