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<正>In this paper we consider the Cauchy problem for the mass-critical Hartree equation iδ_iu+Δu=μ(|x|~2*|u|~2)u,(t,x)∈R×R~n,n>=3,(1) u(0,x)=φ(x),x∈R~n,(2) whereμ=+1 denotes the defocusing case.Hartree equation is a classic model coming from