### Abstract

Three- and four-body structure calculations of single A hypernuclei such as _{Λ}^{7}He, _{Λ}^{9}Be and _{Λ}^{13}C and double _{ΛΛ}^{4}H, _{ΛΛ} ^{7}He; _{ΛΛ}^{7}He, _{Lambda;Λ}^{8}Li,_{, ΛΛ} ^{9}Li, _{ΛΛ}^{9}Be, and _{ΛΛ}^{10}Be are discussed. The energy levels of _{ΛΛ}^{7}He whose core is a famous halo nucleus, _{Λ}^{6};He, are predicted based on _{Λ}^{5}He+ 2N three-body model.In the microscopic 2α+Λ (3α+Λ) model _{Λ}^{9}Be(_{Λ}^{13}C), we predict the spin-orbit splittings of 5/2_{1}^{+}-3/2 _{1}^{+} in _{Λ}^{9}:Be and 3/2_{1}^{-}-1/2_{1}^{-} in _{Λ}^{13}C to be 0.08-0.16 MeV and 0.39-0.78 MeV, respectively, with the use of OBE-model NSC97a ∼f. On the other hand quark-model AN spin-orbit force gives rise to half of the splittings of the smallest OBE-model prediction. The experimental data were reported to be 31.4_{-3.6}^{+2.5}keV for _{Λ} ^{9}:Be and to be 152± 54Plusmn; 36 keV for _{Λ}^{13}C. By performing four-body calculation of _{ΛΛ}^{}H with both NNΛΛ and NNNΞ channels, we show that the ΛΛ - ΞN coupling potential plays an important role in making _{ΛΛ} ^{4}H bound. Energy levels of the double-Λ hypernuclei, _{ΛΛ}^{7}He, _{ΛΛ}^{8}Li, _{ΛΛ} ^{9}Li, _{ΛΛ}^{9}Li, _{ΛΛ}^{9}Be and _{ΛΛ}^{10}Be are predicted on the basis of an α + x Λ + Λ four-body model, where x = n, p, d, t, ^{3}He and α, respectively.

Original language | English |
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Pages (from-to) | 138-146 |

Number of pages | 9 |

Journal | Nuclear Physics A |

Volume | 737 |

Issue number | SUPPL. |

DOIs | |

Publication status | Published - Jun 14 2004 |

Externally published | Yes |

### All Science Journal Classification (ASJC) codes

- Nuclear and High Energy Physics

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## Cite this

*Nuclear Physics A*,

*737*(SUPPL.), 138-146. https://doi.org/10.1016/j.nuclphysa.2004.03.055