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As a tool for studying the structure of nuclei far off stability the technique of gamma -ray spectroscopy after low-energy single-nucleon transfer reactions with radioactive nuclear beams in inverse kinematics was investigated. Modules of the MINIBALL germanium array and a thin position-sensitive parallel plate avalanche counter (PPAC) to be employed in future experiments at REX-ISOLDE were used in a test experiment performed with a stable (36)Sbeam on deuteron and Be-9 targets. It is demonstrated that the Doppler broadening of gamma lines detected by the MINIBALL modules is considerably reduced by exploiting their segmentation, and that for beam intensities up to 10(6) particles/s the PPAC positioned around aero degrees with respect to the beam axis allows not only to significantly reduce the gamma background by requiring coincidences with the transfer products but also to control the beam and its intensity by single particle counting. The predicted large neutron pickup cross-sections of neutron-rich light nuclei on H-2 and Be-9 targets at REX-ISOLDE energies of 2.2 MeV .A are confirmed

Potential and limitations of nucleon transfer experiments with radioactive beams at REX-ISOLDE