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arXiv · 1507.03733

Light $Ξ$ hypernuclei

H. Garcilazo·A. Valcarce
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Abstract

Arguments in favor of a light $ΞNN$ hypernucleus with $(I)J^P=(3/2)1/2^+$ are presented, within the uncertainties of our knowledge of the baryon-baryon strangeness $-2$ interactions. If bound, this $ΞNN$ state, being decoupled from the lowest $NΛΛ$ system, would be stable. It will also benefit from additional binding due to the electromagnetic interaction what makes it worthwhile to look for. We show how the equivalent state with $J=3/2$ could never be bound in spite of the attractive interaction of the two-body subsystems. We illustrate our discussion with a full-fledged Faddeev calculation of the $ΞNN$ system using simple potentials that mimic more elaborate interactions. We also make contact with different recent phenomenological interactions from the literature, like the ESC08 Nijmegen potential or quark-model based potentials.

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H. Garcilazo, A. Valcarce. 2015-07-20. Light $Ξ$ hypernuclei. https://doi.org/10.1103/physrevc.92.014004

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