2025/07/22 by Etminan, Faisal
#FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #Nuclear Theory (nucl-th)
paper · doi:10.48550/arxiv.2507.17022
The possible bound state of the ϕN α system is explored within the framework of the three-body cluster model. The calculations are done by employing the state-of-the-art ϕN interactions obtained from the analysis of the pure elastic scattering and the coupled-channel in the ϕp correlation functions. The ϕα potentials are constructed by two methods: the single-folding potential (SFP) method for the given spin-averaged ϕN potentials in coordinate space, and the optical model potential (OMP) approximation within the multiple-scattering framework for the given scattering length of the ϕN interaction. It is found that, when only the single-channel ϕN interactions are employed, the ϕN α system could be bound with a binding energy in the interval [3-26] MeV. However, the coupled-channel ϕp interaction, which is most consistent with experimental measurements, does not yield any bound state, even when the spin-averaged ϕN potential is employed, and this potential is found to be more attractive than the corresponding coupled-channel counterpart. It is essential to consider the contributions from the dynamics of the vector-baryon coupled channels ϕp interaction. This effect is capable of playing a decisive role in the existence of mesic nuclei.