  Using the effective-range expansion for the two-body amplitudes may generate
spurious sub-threshold poles outside of the convergence range of the expansion.
In the infinite volume, the emergence of such poles leads to the breakdown of
unitarity in the three-body amplitude. We discuss the extension of our
alternative subtraction scheme for including effective range corrections in
pionless effective field theory for spinless bosons to nucleons. In particular,
we consider the neutron-deuteron system in the doublet S-wave channel
explicitly.
