Bound states of Be c c ¯ 9 within c c ¯ + α + α cluster models based on state-of-the-art QCD charmonium-nucleon interactions
Year: 2025
Type: article
Abstract: The possible bound state of the $_{c\overline{c}}^{9}\mathrm{Be}$, a charmonium-nucleus system, is investigated. The analysis is carried out within a three-cluster model, where its binary subsystems are represented as $c\overline{c}\text{+}\ensuremath{\alpha}$ and $\ensuremath{\alpha}+\ensuremath{\alpha}$. The hyperspherical harmonics method is employed to facilitate a convenient description of this three-cluster configuration. The calculations are done by employing the effective $c\overline{c}\text{\ensuremath{-}}\ensuremath{\alpha}$ potentials. These potentials were derived recently based on state-of-the-art lattice QCD calculations by HAL collaboration, which provided interactions for the spin-3/2 $J/\ensuremath{\psi}N$, spin-1/2 $J/\ensuremath{\psi}N$, spin-1/2 ${\ensuremath{\eta}}_{c}N$, and spin-averaged $J/\ensuremath{\psi}N$ 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 $_{c\overline{c}}^{5}\mathrm{He}$ nor the $^{8}\mathrm{Be}$ binary subsystems being bound, a bound state of the $c\overline{c}\text{\ensuremath{-}}\ensuremath{\alpha}\ensuremath{\alpha}$ nuclear system could potentially exist. The maximum central binding energy is found to be approximately 1.71 MeV, based on the spin-1/2 $J/\ensuremath{\psi}N$ interaction, while a minimum value of about 0.56 MeV is obtained from calculations involving the spin-1/2 ${\ensuremath{\eta}}_{c}N$ interaction.
Source: Physical Review C
DOI: 10.1103/wwjr-3x9l
Author: Faisal Etminan
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4416935891