Λααα cluster model for the 13ΛC nucleus

The 13ΛC 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 13ΛC hypernucleus. It is shown that the dominant type of clustering in the system is (Λαα)α