A three-body model involving non-local interactions is developed in configuration space. It is based on a hyperspherical-harmonics expansion and the Lagrange-mesh method. The 6 ΛΛ He and 9 Λ Be hypernuclei are studied as three-body αΛΛ and ααΛ systems. Recently proposed quark-model based ΛN and ΛΛ i
Cluster models of 6ΛΛHe and 9ΛBe hypernuclei
✍ Scribed by I. Filikhin; A. Gal; V.M. Suslov
- Publisher
- Elsevier Science
- Year
- 2004
- Tongue
- English
- Weight
- 236 KB
- Volume
- 743
- Category
- Article
- ISSN
- 0375-9474
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✦ Synopsis
Configuration space Faddeev calculations are performed for the binding energy of 6 ΛΛ He and 9 Λ Be bound states, here considered as αΛΛ and ααΛ clusters respectively, in order to study the dependence of the calculated binding energy on the αΛ potential input. For 6 ΛΛ He, using realistic interactions, the uncertainty in extracting the ΛΛ 1 S 0 interaction strength does not exceed 0.1 MeV, which is a fraction of the order of magnitude derived for other theoretical uncertainties. For 9 Λ Be, the dependence of the calculated binding energy on the αΛ potential is considerably larger, of order 1 MeV. Our results for 9 Λ Be suggest that the odd-state αΛ interaction is substantially reduced with respect to the even-state component.
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