Abstract:
We calculate the range corrections to S-wave
neutron-deuteron scattering in the doublet channel (S=1/2)
to first order in r/a where a is the scattering length and r
the effective range. Ultraviolet divergences appearing at
this order can be absorbed into a redefinition of the
leading order three-body force. The corrections to the
elastic scattering amplitude below the deuteron breakup
threshold are computed. Inclusion of the range corrections
gives good agreement with measured scattering data and
potential model calculations.