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Total reaction cross sections of deuteron, , are calculated by a microscopic three-body reaction model. The reaction model has no free adjustable parameter and applicable to reactions at various deuteron incident energies and with both stable and unstable nuclei. The predicted are consistent with those evaluated by a phenomenological optical potential for MeV in which the potential has been parametrized. A simple formula of up to GeV, as a function of , the target mass number and its atomic number , is given.

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