Abstract
The inclusion of the continuum in the study of weakly bound three-body systems is discussed. A transformed harmonic oscillator basis is introduced to provide an appropriate discrete and finite basis for treating the continuum part of the spectrum. As examples of the application of the method the strength functions corresponding to several operators that couple the ground state to the continuum are investigated, for $^{6}\mathrm{He}$, and compared with previous calculations. It is found that the energy moments of these distributions are accurately reproduced with a small basis set.
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