Adiabatic approximation for deuteron breakup effect

The adiabatic treatment of the deuteron breakup effect is examined by comparing the calculated breakup cross sections and the partial-wave amplitudes for elastic scattering with those of the more accurate coupled-channel or variational calculations. The three-body scattering system used in the coupled-channel calculation by Austern et al. is employed as an example. It is shown that the adiabatic approximation for the $s$-wave breakup effect is acceptable event at $E_d=22.9\mathrm{}$ MeV and becomes quite good for $E_d\ge 40$ MeV.