2025/03/19 by Filikhin, I., Kezerashvili, R. Ya., Vlahovic, B.
#FOS: Physical sciences #Nuclear Theory (nucl-th)
paper · doi:10.48550/arxiv.2503.15692
We explore the possible existence of light ϕ-mesic nuclei using HAL QCD ϕN interactions for the 2S1/2 and 4S3/2 channels. Particularly, using the Faddeev formalism in configuration space, the ϕNN system, and 9ϕBe and 6ϕϕHe nuclei within the framework of the three-body cluster model, are investigated. The ϕα effective potential, obtained through a folding procedure, involves the HAL QCD ϕN interaction in the 4S3/2 channel which does not lead to a bound state of the ϕN pair while the ϕN 2S1/2 channel yields the bound state as the 3ϕH nucleus. The 4S3/2 potential ensures that the folding procedure is appropriate because there are no open channels like ϕ+N and ϕ+2N near or below the ϕ+ 4N threshold, and it utilizes different matter distributions of 4He proposed in the literature. The folding potential is approximated by the Woods-Saxon formula. The mirror systems ϕ+α+α and ϕ+ϕ+α have energy ranges from 1-11 MeV and 3-10~MeV, respectively. The predicted binding energies represent the minimal values for the hypothetical ϕ mesic nuclei 5ϕHe, 9ϕBe and 6ϕϕHe. The phenomenological αα and ϕϕ potentials are adopted from the literature.