The stochastic variational method is used in conjunction with stabilization
ideas to compute the low energy phase shifts and scattering lengths for po
sitronium-atom scattering. Results are obtained for the Ps-H, Ps-Li+, Ps-He
, and Ps-Ps systems. The Ps-H scattering lengths are probably accurate to b
etter than 5% and are the most accurate so far computed. The results for Ps
-Li+ and Ps-Ps scattering represent the first published scattering lengths
for these systems. The positive scattering length for completely spin-align
ed (3)Ps-(3)Ps scattering, namely 2.95a(o), is particularly significant sin
ce it demonstrates the feasibility of forming a stable Bose-Einstein conden
sate of (3)Ps atoms.