[en] A stochastic variational method is used to solve the Schroedinger equation for the non-relativistic qqanti qanti q system. The quarks are considered as interacting with the two-body one-gluon exchange potential and a linear four-body confining potential. The mass spectrum for the non-strange baryonium states is predicted, and a preliminary estimate made for the strength of the coupling of M-baryonium states to T-baryonium. The stability of baryonium states with respect to decay into mesons is investigated. (Auth.)