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A new prediction for the binding energy of the 7ΛHe hypernucleus

I Filikhin1,2, V M Suslov1,2 and B Vlahovic1,3

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P-shell A = 7 hypernuclei are considered in the cluster 5ΛHe + N + N model. The folding procedure using the OBE simulating (NSC97f) model for ΛN potential and various αΛ potentials are applied to construct the 5ΛHe–N interaction. Configuration space Faddeev calculations are performed for the hyperon binding energy of the ^{7}_{\Lambda}\,{\rm He}\big(\frac12^+ \big) and ^{7}_{\Lambda}\,{\rm He}\big(\frac12^+\, {\rm and}\, \frac32^+,\, T = 0 \big) hypernuclei. The new predicted value for BΛ(7ΛHe) is 5.35 MeV. This value was obtained with the 6ΛHe(2) excitation energy equal to 0.26 MeV. Since the 2 state of 6ΛHe has not yet been observed, the 6ΛHe(2) excitation energy was chosen to reproduce the experimental value of the ^{7}_{\Lambda}\,{\rm Li}\big(\frac32^+ \big) excitation energy by the adjustment of the 5ΛHe–N effective potential. Our results are compared with those of Hiyama et al (1996 Phys. Rev. C 53 2075; 1999 Phys. Rev. C 59 2351).


PACS

21.10.Dr Binding energies and masses

21.80.+a Hypernuclei

21.60.Gx Cluster models

Subjects

Nuclear physics

Dates

Issue 5 (May 2005)

Received 11 November 2004

Published 24 March 2005



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