The Hypernuclei $^4_Λ$He and $^4_Λ$H: Challenges for Modern Hyperon-Nucleon Forces

Abstract

The hypernuclei $^4_Λ$He and $^4_Λ$H provide important information on the hyperon-nucleon interaction. We present accurate Faddeev-Yakubovsky calculations for the $Λ$ separation energies of the $0^+$ ground and the $1^+$ excited states based on the Nijmegen SC YN interactions. We explicitly take the $Σ$ admixture into account. Mass differences of the baryons and the charge-dependence of the interaction are considered. The results show that the Nijmegen models cannot predict all separation energies simultaneously hinting to failures of the current interaction models.

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