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arXiv · 0712.1911

Three-body resonances Lambda-n-n and Lambda-Lambda-n

V. B. Belyaev·S. A. Rakityansky·W. Sandhas
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Abstract

Possible bound and resonant states of the hypernuclear systems $Λnn$ and $ΛΛn$ are sought as zeros of the corresponding three-body Jost functions calculated within the framework of the hyperspherical approach with local two-body S-wave potentials describing the $nn$, $Λn$, and $ΛΛ$ interactions. Very wide near-threshold resonances are found for both three-body systems. The positions of these resonances turned out to be sensitive to the choice of the $Λn$-potential. Bound $Λnn$ and $ΛΛn$ states only appear if the two-body potentials are multiplied by a factor of $\sim 1.5$.

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V. B. Belyaev, S. A. Rakityansky, W. Sandhas. 2007-12-13. Three-body resonances Lambda-n-n and Lambda-Lambda-n. https://doi.org/10.1016/j.nuclphysa.2008.02.219

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