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In this talk, we firstly overview the experimental status of N(-)_X(1625), which is an enhancement structure observed in K-(Λ), invariant mass spectrum of J/ψ→pK-(A) process. Then we present the result of the decay of N(-)_X(1625) under the two molecular assumptions, i.e. S-wave (Λ)K~- and S-wave (Σ)~0K~- molecular states. Several experimental suggestions for N(-)_X (1625) are proposed.