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Few-body systems, 2022-03, Vol.63 (1), Article 9
2022
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Autor(en) / Beteiligte
Titel
Λ-α Potential by Folding Λ-Nucleon Interaction with Realistic α Wave Function
Ist Teil von
  • Few-body systems, 2022-03, Vol.63 (1), Article 9
Ort / Verlag
Vienna: Springer Vienna
Erscheinungsjahr
2022
Quelle
SpringerLink (Online service)
Beschreibungen/Notizen
  • We construct a folding potential between the α and Λ particles based on underlying nucleon-nucleon and hyperon-nucleon interactions. Starting from a phenomenological Λ -N potential and a Gaussian form of the α -particle wave function we obtain the α - Λ potential and with this potential the binding energy of Λ 5 He is (3.10 MeV), which is consistent with recent experimental data 3.12 ± 0.02 MeV. When in turn an exact solution of the four-body Faddeev-Yakubovsky equation for the α -particle calculated with the CDBonn, Nijmegen or Argonne V18 realistic nucleon-nucleon potential is used and the phenomenological Gaussian Λ -N potential is replaced by the realistic (e.g. Nijmegen NSC97f) potential approximated by a rank-1 separable form, then Λ 5 He is overbound. In particular, its binding energy given by the folding potential generated with the α particle wave function based on the CDBonn potential is 7.47 MeV. Although the rank-1 separable Λ -N potential reproduces the exact scattering length and the effective range of the original Λ -N potential, the Λ - α folding potential results from these Λ -N potential give a large binding energy of Λ 5 He .

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