In this thesis, I present the results from three experiments studying the structure of 10Li through neutron transfer reactions at different beam energies. All three experiments were performed at the ISOLDE facility at CERN with a radioactive 9Li beam impinging on deuterated plastic. The results of the elastic channels are compared with OM and CDCC calculations. The result of the neutron transfer reactions is compared with CDCC calculations using a novel structure model of 10Li. The first experiment was carried out at 2.68 MeV/A in 2005 and give evidence for the existence of a virtual s$_{1/2}$ state in 10Li. Furthermore, it confirms the position of a p$_{1/2}$ resonance close to 0.5MeV. Coincidences between protons and 9Li, from the break up of 9Li, provides evidence for a sequential reaction model, however, the applied model can not account for the magnitude of the measured cross sections. In the second and third experiment at 6.72MeV/A and 8.0MeV/A, respectively, there are indications for a higher-lying d$_{5/2}$ resonance, however, this result is more speculative. The model also struggles to reproduce the absolute cross sections at these energies. Besides the results from the experiments, I present some of the technical methods that have been used and developed during the experiments and data analysis. This includes the data acquisition system and a general-purpose library for experiments with silicon detectors, AUSAlib. Moreover, the kinematic considerations that go into both the design and the analysis phase are discussed. Two techniques to determine beam properties are discussed. One is based on coincidences and mainly discussed through simulations whereas the other is based on only the ejectile of a two-body reaction. A Monte Carlo method for transforming measurements into absolute cross sections presented as well.
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