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Abstract
The energy levels and ΛΛ bond energy of the double-Λ hypernucleus 11Be are calculated considering two- and three-nucleon forces. The interactions between the constituent particles are contact interactions that reproduce the low-energy binding energy of the nuclei. Effective action is constructed to involve the three-body forces. In this paper, we compare the binding energy result that is obtained with the experimental and other modern nucleon-nucleon potentials. The results of all the schemes agree very well, showing the high accuracy of our present ability to calculate the many-nucleon bound state with three-body forces. The experimental value of BΛΛ(11ΛΛBe)=20.83 MeV seems to be more compatible with our calculated value of BΛΛ(11ΛΛBe)=19.31 MeV in comparison with the calculated result of 18.23 MeV by Hiyama et al.
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