  Evidence for particle stability of Lambda-Lambda hydrogen-4 (4LLH) has been
suggested by the BNL-AGS E906 experiment. We report on Faddeev-Yakubovsky
calculations for the four-body Lambda-Lambda-p-n system using Lambda-N
interactions which reproduce the observed binding energy of Lambda hydrogen-3
(3LH) within a Faddeev calculation for the Lambda-p-n subsystem. No 4LLH bound
state is found over a wide range of Lambda-Lambda interaction strengths,
although the Faddeev equations for a three-body Lambda-Lambda-d model of 4LLH
admit a 1+ bound state for as weak a Lambda-Lambda interaction strength as
required to reproduce the binding energy of Lambda-Lambda Helium-6 (6LLHe).
