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

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

2007-12-12

arxiv.org/abs/0712.1911v2

Nucl.Phys.A803:210-226,2008

Physics

Nuclear Physics

Nuclear Theory

12 pages, 5 figures. Acknowledgments are added in the new version

Scientific paper

10.1016/j.nuclphysa.2008.02.219

Possible bound and resonant states of the hypernuclear systems $\Lambda nn$ and $\Lambda\Lambda n$ 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 $nn$, $\Lambda n$, and $\Lambda\Lambda$ 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 $\Lambda n$-potential. Bound $\Lambda nn$ and $\Lambda\Lambda n$ states only appear if the two-body potentials are multiplied by a factor of $\sim 1.5$.

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