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We report the results of a high-statistics search for H-dibaryon production in inclusive Y(1S) and Y(2S) decays. No indication of an H-dibaryon with mass near the M_H=2m_Lambda threshold is seen in either the H-> Lambda p pi- or Lambda-Lambda decay channels and 90% confidence level branching-fraction upper limits are set that are between one and two orders of magnitude below the measured branching fractions for inclusive Y(1S) and Y(2S) decays to antideuterons. Since Y(1,2S) decays producedoi:10.1103/physrevlett.110.222002 pmid:23767713 fatcat:mgmosh4pzfg3dnj3q5rk3gdhb4