  Existing bound-state type calculations of three-neutron resonances yield
contradicting results. A direct study of the three-neutron continuum using
rigorous scattering equations with realistic potentials and search for possible
resonances is aimed. Faddeev-type integral equations for three-neutron
transition operators are solved in the momentum-space partial-wave framework.
The evolution of resonances is studied by enhancing the strength of the
two-neutron interaction in partial waves with nonzero orbital momentum.
Calculated three-neutron transition operators exhibit resonant behavior for
sufficiently large enhancement factors; pole trajectories in the complex-energy
energy plane are extracted from their energy dependence. However, the resonant
behavior completely disappears for the physical interaction strength. There are
no physically observable three-neutron resonant states consistent with
presently accepted interaction models.
