Microscopic Study of Lambpha ( FormulaHe) and Di- Cluster States

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Abstract
The internal structure of αΛ≡6ΛΛHe is investigated by solving the Λ+Λ+α three-body problem. The harmonic oscillator wave function (0s)6 with the size parameters for N and Λ being related so as to give the same oscillator constant Ω is found to be a reasonably good approximation. The αΛ-particle is quite compact as well as an α-particle. On the basis of this (0s)6 wave function for αΛ, di-αΛ cluster states are treated by a fully microscopic generator coordinate method. Energy spectra, reduced-width amplitudes, spectroscopic factors and E2-transition probabilities are calculated. Our prediction given previously is basically justified by the present improved investigation. In detail the present improved αΛ-wave function and GCM treatment lead to somewhat deeper binding of two αΛ's in comparison with the previous result obtained by the orthogonality condition model along with the equal-mass approximation (MΛ= MN). The di-αΛ cluster states form a 0+∼6+ rotational band with its low-spin members (0+ and 2+) being safely particle-stable.

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