[en] The existing data on the strangeness -2 two-baryon mass spectrum is reviewed and a new experiment is proposed to explore this spectrum from 100 MeV below the mass of the lightest known two-baryon strangeness -2 system, ΛΛ, to 20 MeV above the ΛΛ mass. The proposed experiment is motivated by Jaffe's 1977 prediction of a six-quark object with strangeness -2 and J/sup π/ = 0⁺ at a mass of 2150. This particle, called the ''H'', has been predicted by later bag models as well. Calculations indicate the proposed experiment will be a sensitive test of the dibaryon theories