Three- and four-body cluster models of hypernuclei using the G-matrix Lambda N interaction: (Lambda)Be-9, (Lambda)C-13, (Lambda Lambda)He-6 and (Lambda Lambda)Be-10
1997
19 pages
Published in:
- Prog.Theor.Phys. 97 (1997) 881-899
DOI:
Citations per year
Abstract: (Oxford Journals)
The structure calculations of ^5_ΛHe, ^9_ΛBe, ^13_ΛC, ^10_ΛΛBe and ^6_ΛΛHe 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 ΛN interactions are focused on. We propose to improve the strengths of the odd-state parts in a systematic way. The improved YNG interaction explains theB_Λ(^5_ΛHe) andB_Λ(^9_ΛBe) 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 ^13_ΛC 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 Λ 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 observedB_ΛΛ(^10_ΛΛBe) is reproduced in the framework of the 2α+2Λ four-body model. A new theoretical prediction forB_ΛΛ(^6_ΛΛHe) is made with the α+2Λ three-body model.- Lambda: hypernucleus
- Lambda Lambda: hypernucleus
- helium: hypernucleus
- beryllium: hypernucleus
- carbon: hypernucleus
- three-body problem
- many-body problem: 4
- model: cluster
- hypernucleus: binding energy
- hypernucleus: energy levels
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