p-threshold enhancement observed in the J=/ψ→γpp decay is studied by using the enhancement factor method with a simpler one-pion-exchange potential between p and p. The Jost function caused by the mentioned potential is perturbatively calculated in the zero-th order approximation, and the corresponding enhancement factor is obtained. It is found that such a final state interaction offers an important contribution to the decay width near the pp-threshold, although it is not large enough. To explain the decay data, a phenomenological factor G(p) with the form of 285500=(m π2+p2) should be introduced. A further calculation including the p-dependent bare T-matrix, a more realistic NN potential and the contribution from the higher-order wave functions would provide a better understanding of the decay data and even the existence of the baryonium pp. The near pp-threshold behavior of the decay width in the J=/ψ→π0pp process is also discussed."> pp final state interaction in J=/ψ→γpp -
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