Full-Coupled Channel Approach to Doubly Strange $s$-Shell Hypernuclei

dc.creatorNemura, H.
dc.creatorShinmura, S.
dc.creatorAkaishi, Y.
dc.creatorMyint, Khin Swe
dc.date2004-07-10
dc.date2004-12-01
dc.date.accessioned2026-07-07T10:50:59Z
dc.date.available2026-07-07T10:50:59Z
dc.descriptionWe describe {\it ab initio} calculations of doubly strange, $S=-2$, $s$-shell hypernuclei ($^4_{ΛΛ}$H, $^5_{ΛΛ}$H, $^5_{ΛΛ}$He and $^6_{ΛΛ}$He) as a first attempt to explore the few-body problem of the {\it full}-coupled channel scheme for these systems. The wave function includes $ΛΛ$, $ΛΣ$, $NΞ$ and $ΣΣ$ channels. Minnesota $NN$, D2$^\prime$ $YN$, and simulated $YY$ potentials based on the Nijmegen hard-core model, are used. Bound state solutions of these systems are obtained. We find that a set of phenomenological $B_8B_8$ interactions among the octet baryons in $S=0, -1$ and -2 sectors, which is consistent with all of the available experimental binding energies of $S=0, -1$ and -2 $s$-shell (hyper-)nuclei, can predict a particle stable bound state of $^4_{ΛΛ}$H. For $^5_{ΛΛ}$H and $^5_{ΛΛ}$He, $ΛN-ΣN$ and $ΞN-ΛΣ$ potentials enhance the net $ΛΛ-NΞ$ coupling, and a large $Ξ$ probability is obtained even for a weaker $ΛΛ-NΞ$ potential.
dc.description4 pages, 1 figure
dc.identifierhttps://arxiv.org/abs/nucl-th/0407033
dc.identifierhttp://arxiv.org/abs/nucl-th/0407033
dc.identifierPhys.Rev.Lett.94:202502,2005
dc.identifierdoi:10.1103/PhysRevLett.94.202502
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/184714
dc.subjectNuclear Theory
dc.titleFull-Coupled Channel Approach to Doubly Strange $s$-Shell Hypernuclei
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