[en] The H(8^Li,4^He)6^He reaction has a large positive Q-value (Q=+14.420 MeV) and is the strongest candidate for the depletion of the 8^Li nuclei (T_1/2 = 838 ms) produced by neutron capture reactions on stable 7^Li nuclei in a neutron rich environment. The contribution of the 8^Li to the early universe nucleosynthesis could modify abundances and could contribute to bridge the A=8 gap, through the reactions 4^He(8^Li,n)1^1B, 8^Li(n,γ)9^Li, 8^Li(d,n)9^Li. The nucleus 9^Be is formed at high excitation energies in the H(8^Li,4^He)6^He reaction and presents resonances at the astrophysical energies. The radioactive 8^Li beam was produced by the 9^Be(7^Li,8^Li)8^Be reaction and selected and focused by the superconducting solenoids of the RIBRAS facility, installed at the 8 MV Pelletron Accelerator of the Institute of Physics of the University of Sao Paulo, with typical intensities of 5xl0⁵-10⁶ pps. The reaction in inverse kinematics was studied at four secondary beam energies E_lab = 18.3, 16, 14.4 and 13.0 MeV. The detection system consisted of four E-ΔE telescopes (25-1000 μm) at very forward angles on both side of the beam direction. The thick target method was used, with a 7 mg/cm² (CH₂)_n polyethylene target, where the 8^Li beam is stopped in the target, and the high energy a-particles provenient from the reaction give a direct information on the excitation function of the reaction. The measurements at 4 energies cover the excitation function from E_cm=0 to 2.0 MeV and several resonances can be observed. The results and R-matrix analysis of the resonances will be presented.(author)