$$\Lambda -\alpha $$ Potential by Folding $$\Lambda $$-Nucleon Interaction with Realistic $$\alpha $$ Wave Function

نویسندگان

چکیده

We construct a folding potential between the $\alpha$ and $\Lambda$ particles based on underlying nucleon-nucleon hyperon-nucleon interactions. Starting from phenomenological $\Lambda$-N Gaussian form of $\alpha$-particle wave function we obtain for built $\alpha$-$\Lambda$ interaction bound $^5_\Lambda$He state with binding energy (3.10 MeV), which is consistent recent experimental data $3.12 \pm 0.02$ MeV. When in turn an exact solution four-body Faddeev-Yakubovsky equation calculated CDBonn, Nijmegen or Argonne V18 realistic used replaced by (Nijmegen NSC97f) approximated rank-1 separable form, then overbound. In particular, its given generated particle CDBonn 7.47 Although reproduces scattering length effective range original potential, overbinding results lack required repulsive properties assumed form.

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ژورنال

عنوان ژورنال: Few-body Systems

سال: 2021

ISSN: ['1432-5411', '0177-7963']

DOI: https://doi.org/10.1007/s00601-021-01709-x