### Abstract

A three-body calculation for the HeΛ6 and H^{Λ}_{6} hypernuclei, in which the respective cores are He4 and H^{Λ}_{4}, has been initiated. The interactions in the HeΛ6 system are reasonably well known. For example, the Λn interaction is approximately determined by bubble-chamber Λ. p scattering data, the He4 Λ interaction can be fitted to the HeΛ5 binding energy, and the He4 n interaction can be fitted to α. n scattering data. For He4. n the s-wave can be modeled alternatively as a repulsive potential (Eskandarian and Afnan, 1992 [1]) or as an attractive potential with a forbidden bound state (Lehman, 1982 [2]). We examine the effect of these alternatives on He6 and Li6, because the interaction comes into play in modeling HeΛ6 as well as in our H^{Λ}_{4}+n+n model of H^{Λ}_{6}, where the valence neutrons are Pauli blocked from the s-shell of the core.

Original language | English |
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Pages (from-to) | 179-183 |

Number of pages | 5 |

Journal | Nuclear Physics A |

Volume | 914 |

DOIs | |

Publication status | Published - Sep 2013 |

### Keywords

- 3-body model
- Halo hypernuclei

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## Cite this

^{Λ}

_{4}+n+n model of H

^{Λ}

_{6}.

*Nuclear Physics A*,

*914*, 179-183. https://doi.org/10.1016/j.nuclphysa.2013.02.017