Bound states of Be and He nuclei with ++ and ++ cluster models
arXiv:2408.13415 · doi:10.1103/PhysRevC.110.065202
Abstract
We investigate the Be and He mesic nuclei within the framework of the three-body cluster model as the ++ and ++ systems, using the Faddeev formalism in configuration space. The - potential is determined through a folding procedure of the HAL QCD - interaction in the channel with the matter distribution of He. The phenomenological - and - potentials are taken from the literature. Additionally, we construct a Wood-Saxon (WS) type interaction to simulate the - potential, also taken from the literature, based on an effective Lagrangian approach that includes meson loops in the -meson self-energy. A comparison of binding energies obtained for both types of the - interactions reveals qualitative agreement. %between the obtained approaches. We predict the binding energy for the Be and He mesic nuclei as the mirror ++ and ++ 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 - interaction parameters.
arXiv comment11 pages, 3 figures
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