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

TL;DR

This study investigates the interactions of $_{ ext{Xi}}^{5} ext{H}$ hypernuclei using advanced $ ext{Xi}N$ potentials, revealing a Coulomb-assisted resonance state near the $ ext{alpha}+ ext{Xi}^{-}$ threshold.

Contribution

It applies phenomenological and first-principles $ ext{Xi}N$ potentials to model $ ext{alpha} ext{Xi}$ interactions and predicts a resonance state in $_{ ext{Xi}}^{5} ext{H}$.

Findings

$_{ ext{Xi}}^{5} ext{H}$ is a Coulomb-assisted resonance near threshold.

Different $ ext{Xi}N$ potentials yield similar resonance predictions.

Resonance appears about 0.5 MeV below the $ ext{alpha}+ ext{Xi}^{-}$ threshold.

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.