Abstract
The 13Λ C hypernucleus is treated as a (1/2)+ bound state of the Λααα system. The s-wave model is used on the basis of differential equations for the corresponding Yakubovsky components. No account is taken of 2+2 clustering in the system. Phenomenological potentials are used to simulate the αα and αΛ interactions. The system as a whole is bound owing to the additional potential of three-body interaction between the alpha-particle clusters. The differential equations for the Yakubovsky components are solved numerically by the cluster-reduction method. The binding energies are calculated for the ground and the first excited state of the 13Λ C hypernucleus. It is shown that the dominant type of clustering in the system is (Λαα)α.
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Translated from Yadernaya Fizika, Vol. 63, No. 5, 2000, pp. 830–836.
Original Russian Text Copyright © 2000 by Filikhin.
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Filikhin, I.N. Λααα cluster model for the 13Λ C nucleus. Phys. Atom. Nuclei 63, 760–766 (2000). https://doi.org/10.1134/1.855704
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DOI: https://doi.org/10.1134/1.855704