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arXiv · 2402.06914

Examination of the $ \phi-NN $ bound-state problem with lattice QCD $ N-\phi $ potentials

Faisal Etminan·Amanullah Aalimi
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Abstract

The developed Faddeev three-body equations are solved to search for bound-state solutions of a phi-meson $ \left(\phi\right) $ and two nucleons $ \left( \textrm{NN} \right) $ system. The newly published spin $ 3/2 $ $ \textrm{N-\ensuremath{\phi}} $ potential based on the $ \left(\textrm{2+1}\right) $-flavor lattice QCD simulations near physical point, and realistic $ \textrm{NN} $ Malfliet-Tjon (MT) potential, are employed. Our numerical calculations for $ (I)J^{\pi}=(0)2^{-}$ $ \phi\textrm{-d} $ system in maximum spin leads to ground state binding energy of about $ 7 $ MeV and a matter radius of about $ 8 $ fm. Our results indicates the possibility of the formation of new nuclear clusters.

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Faisal Etminan, Amanullah Aalimi. 2024-02-10. Examination of the $ \phi-NN $ bound-state problem with lattice QCD $ N-\phi $ potentials. https://doi.org/10.1103/physrevc.109.054002

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