### 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 |
---|---|

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 |

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### All Science Journal Classification (ASJC) codes

- Nuclear and High Energy Physics

### Cite this

*Nuclear Physics A*,

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

**Few-body aspects of light hypernuclei.** / Hiyama, E.; Kamimura, M.; Motoba, T.; Yamada, T.; Yamamoto, Y.

Research output: Contribution to journal › Article

*Nuclear Physics A*, vol. 737, no. SUPPL., pp. 138-146. https://doi.org/10.1016/j.nuclphysa.2004.03.055

}

TY - JOUR

T1 - Few-body aspects of light hypernuclei

AU - Hiyama, E.

AU - Kamimura, M.

AU - Motoba, T.

AU - Yamada, T.

AU - Yamamoto, Y.

PY - 2004/6/14

Y1 - 2004/6/14

N2 - Three- and four-body structure calculations of single A hypernuclei such as Λ7He, Λ9Be and Λ13C and double ΛΛ4H, ΛΛ 7He; ΛΛ7He, Lambda;Λ8Li,, ΛΛ 9Li, ΛΛ9Be, and ΛΛ10Be are discussed. The energy levels of ΛΛ7He whose core is a famous halo nucleus, Λ6;He, are predicted based on Λ5He+ 2N three-body model.In the microscopic 2α+Λ (3α+Λ) model Λ9Be(Λ13C), we predict the spin-orbit splittings of 5/21+-3/2 1+ in Λ9:Be and 3/21--1/21- in Λ13C 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+2.5keV for Λ 9:Be and to be 152± 54Plusmn; 36 keV for Λ13C. By performing four-body calculation of ΛΛH with both NNΛΛ and NNNΞ channels, we show that the ΛΛ - ΞN coupling potential plays an important role in making ΛΛ 4H bound. Energy levels of the double-Λ hypernuclei, ΛΛ7He, ΛΛ8Li, ΛΛ 9Li, ΛΛ9Li, ΛΛ9Be and ΛΛ10Be are predicted on the basis of an α + x Λ + Λ four-body model, where x = n, p, d, t, 3He and α, respectively.

AB - Three- and four-body structure calculations of single A hypernuclei such as Λ7He, Λ9Be and Λ13C and double ΛΛ4H, ΛΛ 7He; ΛΛ7He, Lambda;Λ8Li,, ΛΛ 9Li, ΛΛ9Be, and ΛΛ10Be are discussed. The energy levels of ΛΛ7He whose core is a famous halo nucleus, Λ6;He, are predicted based on Λ5He+ 2N three-body model.In the microscopic 2α+Λ (3α+Λ) model Λ9Be(Λ13C), we predict the spin-orbit splittings of 5/21+-3/2 1+ in Λ9:Be and 3/21--1/21- in Λ13C 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+2.5keV for Λ 9:Be and to be 152± 54Plusmn; 36 keV for Λ13C. By performing four-body calculation of ΛΛH with both NNΛΛ and NNNΞ channels, we show that the ΛΛ - ΞN coupling potential plays an important role in making ΛΛ 4H bound. Energy levels of the double-Λ hypernuclei, ΛΛ7He, ΛΛ8Li, ΛΛ 9Li, ΛΛ9Li, ΛΛ9Be and ΛΛ10Be are predicted on the basis of an α + x Λ + Λ four-body model, where x = n, p, d, t, 3He and α, respectively.

UR - http://www.scopus.com/inward/record.url?scp=3543092738&partnerID=8YFLogxK

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U2 - 10.1016/j.nuclphysa.2004.03.055

DO - 10.1016/j.nuclphysa.2004.03.055

M3 - Article

AN - SCOPUS:3543092738

VL - 737

SP - 138

EP - 146

JO - Nuclear Physics A

JF - Nuclear Physics A

SN - 0375-9474

IS - SUPPL.

ER -