A study of three-body resonances has been performed in the framework of configuration-space Faddeev equations. The importance of keeping a sufficient number of terms in the asymptotic expansion of the resonance wave function is pointed out. We investigated three neutrons interacting in selected force components taken from realistic $\mathrm{nn}$ forces. Three-neutron resonance pole trajectories connected to artificially enhanced $\mathrm{nn}$ forces could be found. The final pole positions corresponding to the actual force strengths could not be found due to the onset of numerical instabilities. The numerically reliable results achieved, however, make it likely, that three-neutron resonance energies will have large imaginary parts and are therefore physically not interesting. A straightforward application of complex scaling to three-nucleon systems with realistic forces could not be controlled numerically.

• Received 26 January 1999

DOI:https://doi.org/10.1103/PhysRevC.60.024002