2024/08/24 by Filikhin, Igor, Kezerashvili, Roman Ya., Vlahovic, Branislav
#FOS: Physical sciences #Nuclear Theory (nucl-th)
paper · doi:10.48550/arxiv.2408.13415
We investigate the 9ϕBe and 6ϕϕHe ϕ mesic nuclei within the framework of the three-body cluster model as the ϕ+α+α and ϕ+ϕ+α systems, using the Faddeev formalism in configuration space. The ϕ-α potential is determined through a folding procedure of the HAL QCD ϕ-N interaction in the 4S3/2 channel with the matter distribution of 4He. The phenomenological α-α and ϕ-ϕ potentials are taken from the literature. Additionally, we construct a Wood-Saxon (WS) type interaction to simulate the ϕ-α potential, also taken from the literature, based on an effective Lagrangian approach that includes KK meson loops in the ϕ-meson self-energy. A comparison of binding energies obtained for both types of the ϕ-α interactions reveals qualitative agreement. %between the obtained approaches. We predict the binding energy for the 9ϕBe and 6ϕϕHe ϕ mesic nuclei as the mirror ϕ+α+α and ϕ+ϕ+α systems in the range of 1-11 MeV and 3-10 MeV, respectively. The range of values of the binding energies relies on the choice of the WS ϕ-α interaction parameters.