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6ΛΛ He and 9Λ Be systems in the three-body cluster model treated on the basis of differential Faddeev equations

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Abstract

The 6ΛΛ He and 9Λ Be hypernuclei are treated as the S=0, T=0 (for the former) and S=1/2, T=0 (for the latter) bound states of the three-cluster systems ΛΛα and Λαα, respectively. The cluster-reduction method is used to solve the s-wave differential Faddeev equations for these systems. On the basis of the MT I–III model, the ΛΛ interaction potential is specified in the form \(V_{\Lambda \Lambda } = \frac{2}{3}V_{NN} \). Phenomenological potentials are used to describe Λα and αα interactions. The binding energies of the 6ΛΛ He and 9Λ Be hypernuclei and the parameters of low-energy Λ-hyperon and α-particle scattering on a 5Λ He hypernucleus are calculated. It is shown that the proposed ΛΛ interaction potential makes it possible to reproduce faithfully the binding energy of the 6ΛΛ He hypernucleus and that scattering in the Λ 5Λ He system is similar to neutron scattering on a deuteron.

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Translated from Yadernaya Fizika, Vol. 63, No. 3, 2000, pp. 402–408.

Original Russian Text Copyright © 2000 by Filikhin, Yakovlev.

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Filikhin, I.N., Yakovlev, S.L. 6ΛΛ He and 9Λ Be systems in the three-body cluster model treated on the basis of differential Faddeev equations. Phys. Atom. Nuclei 63, 336–342 (2000). https://doi.org/10.1134/1.855640

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  • DOI: https://doi.org/10.1134/1.855640

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