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 language | English |
|---|---|
| Pages (from-to) | 881-899 |
| Number of pages | 19 |
| Journal | Progress of Theoretical Physics |
| Volume | 97 |
| Issue number | 6 |
| DOIs | |
| Publication status | Published - Jan 1 1997 |
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All Science Journal Classification (ASJC) codes
- Physics and Astronomy (miscellaneous)
Cite this
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 journal › Article
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TY - JOUR
T1 - Three- and four-body cluster models of hypernuclei using the G-matrix ΛN interaction - 9ΛBe, 13ΛC, 6ΛΛHe and & 10ΛΛBe
AU - Hiyama, Emiko
AU - Kamimura, Masayasu
AU - Motoba, Toshio
AU - Yamada, Taiichi
AU - Yamamoto, Yasuo
PY - 1997/1/1
Y1 - 1997/1/1
N2 - 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.
AB - 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.
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U2 - 10.1143/PTP.97.881
DO - 10.1143/PTP.97.881
M3 - Article
AN - SCOPUS:0040954954
VL - 97
SP - 881
EP - 899
JO - Progress of Theoretical Physics
JF - Progress of Theoretical Physics
SN - 0033-068X
IS - 6
ER -