$Ξ^{-} d\to nΛΛ$ and the $ΛΛ$ final state interaction

Carr, S. B.; Afnan, I. R.; Gibson, B. F.

$Ξ^{-} d\to nΛΛ$ and the $ΛΛ$ final state interaction

Authors

Carr, S. B.

Afnan, I. R.

Gibson, B. F.

Description

The reaction $Ξ^-d\to nΛΛ$ is studied within the framework of the Faddeev equations as a possible tool to gain insight into the final state $Λ$--$Λ$ interaction. The neutron differential energy spectrum gives a final state interaction that is sensitive to both the $Λ$--$Λ$ amplitude at threshold, and the coupling between the $Λ$--$Λ$ and $Ξ$--$N$ channels. The latter is a result of interference between two mechanisms for the production of the final state, which suggests that this reaction could give a measure of flavor SU(3) violation in the two-baryon system.
24 pages, 8 figures, submitted to Physical Reviw C