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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 .