Double hypernuclei and the ΛΛ interaction

Abstract

The double hypernuclei$\wedge \wedge He^6$ and$\wedge \wedge Be^{10}$ have been analysed using purely attractive nonlocal separable potential. These double hypernuclei have been considered as three body (Λ+Λ+α) and four body (Λ+Λ+α+α) systems respectively. A consistent description of both the systems has been obtained for an intrinsic rangeb=1.5 fm of the ΛΛ interaction in the¹S₀ state. For the purely attractive Yukawa potential this corresponds to the two pion exchange range. The strength of the ΛΛ interaction deduced from the double hypernuclei was found insufficient to bind the two body ΛΛ system. The lightest double hypernucleus that is expected to be bound is$\wedge \wedge He^5$. The heavier double hypernuclei$\wedge \wedge C^{14}$ and$\wedge \wedge O^{18}$ have also been analysed. The binding energies obtained are in reasonable agreement with those of earlier workers.