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The elastic scattering Properties between ultracold 23Na and 85Rd atoms for the triplet state(a3∑u+ )are researched.The s-wave scattering lengts of 23Na and 85Rb are calculate by the Numerov ana semtc asstc method with two kinds of interatomic potentials, which are the interpolation potential and Lennard-Jones potential(LJ12,6)by the same phase 4φ Shape resonances appear clearly in the l＝ 5 partial waves for the a- Lu state.Moreover, the s-wave scattering cross section, total cross section and energy positions of shape resonances are also discussed.