Three- and four-body cluster models of hypernuclei using the G-matrix ΛN interaction - 9ΛBe, 13ΛC, 6ΛΛHe and & 10ΛΛBe

Emiko Hiyama, Masayasu Kamimura, Toshio Motoba, Taiichi Yamada, Yasuo Yamamoto

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Abstract

The structure calculations of 5ΛHe, 9ΛBe, 13ΛC, 10ΛΛBe and 6ΛΛHe are carried out with an accurate three- and four-body model method in which all rearrangement Jacobian coordinates and associated Gaussian basis functions are taken. The characteristic properties of the spin-independent parts of five kinds of YNG AN interactions are focused on. We propose to improve the strengths of the odd-state parts in a systematic way. The improved YNG interaction explains the BΛ(5ΛHe) and BΛ(9ΛBe) consistently without an additional three-body force. By employing the 3α + Λ four-body model together with the improved YNG interactions, the second 1/2+ state of 13ΛC is predicted as a bound state at approximately 1 MeV below the lowest threshold. The four-body model enables us to find that response to the addition of the A particle to the core nucleus 12C is very different for the ground and second 0+ states. With the improved YNG interaction and the OBE-simulating ΛΛ interaction, the observed BΛΛ(10ΛΛBe) is reproduced in the framework of the 2α + 2Λ four-body model. A new theoretical prediction for BΛΛ(6ΛΛ) is made with the α + 2Λ three-body model.

Original languageEnglish
Pages (from-to)881-899
Number of pages19
JournalProgress of Theoretical Physics
Volume97
Issue number6
DOIs
Publication statusPublished - Jan 1 1997

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hypernuclei
matrices
interactions
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predictions

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy (miscellaneous)

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Three- and four-body cluster models of hypernuclei using the G-matrix ΛN interaction - 9ΛBe, 13ΛC, 6ΛΛHe and & 10ΛΛBe. / Hiyama, Emiko; Kamimura, Masayasu; Motoba, Toshio; Yamada, Taiichi; Yamamoto, Yasuo.

In: Progress of Theoretical Physics, Vol. 97, No. 6, 01.01.1997, p. 881-899.

Research output: Contribution to journalArticle

Hiyama, Emiko ; Kamimura, Masayasu ; Motoba, Toshio ; Yamada, Taiichi ; Yamamoto, Yasuo. / Three- and four-body cluster models of hypernuclei using the G-matrix ΛN interaction - 9ΛBe, 13ΛC, 6ΛΛHe and & 10ΛΛBe. In: Progress of Theoretical Physics. 1997 ; Vol. 97, No. 6. pp. 881-899.
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