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

Belyaev, V. B.; Rakityansky, S. A.; Sandhas, W.

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

Authors

Belyaev, V. B.

Rakityansky, S. A.

Sandhas, W.

Description

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 $\sim 1.5$.
12 pages, 5 figures. Acknowledgments are added in the new version