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The two 3H+4He and 3He+4He fusion reactions at low energies are usually viewed as an approximate exteal capture process.We study the 4 He(3 H,γ)7 Li and 4 He(3 He,γ)7 Be reactions in a cluster model,which can take into account two-and three-body electromagnetic currents,using minimal substitution in the explicit momentum dependence of the two-and three-cluster interactions.Our main goM is to explore how the cross section of the low-energy 3H+4He or 3He+4He capture reactions depends on energy.The astrophysical S-factors for these reactions are calculated at very low energies.We construct the conserved realistic Argonne v18 for two nucleons and Urbana Ⅸ or Tucson-Melboue three-cluster interactions,which are considered for calculation.We also calculate the binding energies and the structural properties of 3 H + 4 He or 3He+4He systems.The binding energies are found to be-37.72 (-36.32)MeV and-39.35 (-37.43)MeV,with (without) three-body interactions for 7Be and 7 Li,in satisfactory agreement with other theoretical results and experimental data,respectively.