$_{\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.