The ${\Xi }^{-}+d\to n+\Lambda +\Lambda$ reaction as a probe of the $\Lambda \Lambda$ interaction

Abstract

Within the framework of the Faddeev equations we demonstrate that a $\Lambda \Lambda -\Xi N$ interaction that gives a $\Lambda \Lambda$ scattering length comparable to the $nn$ scattering length, and the binding energy of ${}_{\Lambda \Lambda }^6$He as an $\alpha \Lambda \Lambda -\alpha \Xi N$ system, produces a final state interaction peak in the neutron spectrum for the reaction ${\Xi }^{-}d\to n\Lambda \Lambda$. This suggests that this reaction could be used to constrain the $\Lambda \Lambda$ scattering length.

Comments: 10 pages, 9 figures, Invited talk given at the International Conference on Hypernuclear and Strange Particle Physics (HYP97) October 13-18, 1997, Brookhave National Laboratory, U.S.A.. to be published in Nuclear Physics A