${}_{\Xi }^{5}H$ hypernuclei by folding the state-of-the-art $\Xi N$ interactions

Abstract

I examined a phenomenological Nijmegen and a first principles HAL QCD $\Xi N$ potentials to study $\alpha \Xi$ ineractions. A Woods-Saxon type form for $\alpha \Xi$ potential in the single-folding potential approach is derived by using the spin- and isospin averaged $\Xi N$ interactions. The possibility of resonance or bound state is searched and accordingly, the low energy scattering phase shift parameters of $\alpha \Xi$ are calculated. The numerical results show that even though two $\Xi N$ potentials have significantly dissimilar isospin (I) and spin (S) components, ${}_{\Xi }^{5}H$ could be only a Coulomb-assisted resonance state that appears about $0.5$ MeV below the threshold of $\alpha +{\Xi }^{-}$ for both model of potentials.

Comments: 13 pages, 3 figures, 1 tabel