We generalize the quark-pair creation model to a study of the radiative decays J/ψ→γBB by assuming that the u, d, or s quark pairs are created with the same interaction strength. From the calculation of the ratio of the decay widths Γ(J/ ψ→γpp)/Γ(J/ ψ→ pp), we extract the quark-pair creation strength gI = 15.40 GeV. Based on the SU (6) spin-flavour basis and the "uds" basis, the radiative decay branching ratios containing strange baryons are evaluated. Measurements for these decay widths from the BESII data are suggested.