The Hypernuclei ${}_{\Lambda }^4$He and ${}_{\Lambda }^4$H: Challenges for Modern Hyperon-Nucleon Forces

Abstract

The hypernuclei ${}_{\Lambda }^4$He and ${}_{\Lambda }^4$H provide important information on the hyperon-nucleon interaction. We present accurate Faddeev-Yakubovsky calculations for the $\Lambda$ separation energies of the $0^{+}$ ground and the $1^{+}$ excited states based on the Nijmegen SC YN interactions. We explicitly take the $\Sigma$ 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.

4 pages REVTeX 4, no figure

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