Inst High Energy Phys, Beijing 100039, Peoples R China
; Inst Theoret Phys, Beijing 100080, Peoples R China
; Chinese Inst Atom Energy, Beijing 102413, Peoples R China
Cross sections of baryon+baryon-->(OmegaOmega)(J)(pi)=0(+)+X are studied using an effective Hamiltonian method. For low energy region, the gamma production process dominates; its cross sections are of order of 0.3-1.6 mub for p(Omega)=100-400 MeV. There are also some strong interaction processes for forming di-Omega such as Omega+Omega-->(OmegaOmega)(0)(+)+eta(eta('),phi) and Omega+Xi-->(OmegaOmega)(0)(+)+K(K-star). But these processes only make contributions in the high momentum region, because their threshold energies are around (or greater than) 1 GeV. The cross sections for the pseudoscalar meson production processes are about 2.0-4.5 mub, and for the vector meson production processes the cross sections are one order larger than those of the pseudoscalar meson production cases. Besides the above processes, a two-step process is also discussed, in which the first step is Omega+N-->(NOmega)(J)(pi)=2(+)+pi (or gamma) and the second step is Omega+(NOmega)(2)(+)-->(OmegaOmega)(0)(+)+N. The result shows that the cross sections are quite large for both steps. It seems that some two-step processes might also be important.