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The8 Li(p,d)7 Li reaction plays an important role in the inhomogeneous Big Bang nucleosynthesis and in the seednuclide production phase for the r-process.For the first time,its angular distribution at backward angles was measured in inverse kinematics at Ec.m.=4.0 Me V by using an8 Li secondary beam.The result of measurement includes the contributions of8 Li(p,d0)7 Li and8 Li(p,d1)7 Li*.The 8Li(p,d0)7 Li component is estimated to be 40%～58% jn the mixture angular distribution by analysing the measured result.