Deuteron breakup effects in transfer reactions using a Weinberg state expansion method

At medium energies the distorted-wave Born approximation provides a much less reliable description of transfer reactions induced by composite projectiles. While use of the Johnson-Soper adiabatic method includes the dominant contributions from three-body breakup channels, recent experimental data have suggested the need for additional theoretical refinements. The use of Weinberg or Sturmian states provides a framework within which the adiabatic theory can be improved systematically. The results of the Weinberg states method are presented for the [sup 66]Zn([ital d],[ital p])[sup 67]Zn (g.s.; 5/2[sup [minus]]; [ital l]=3) reaction at 88.2 MeV incident energy. The implementation of the method is shown to reduce the three-body transfer reaction calculation to a very small coupled-channels problem. For the reaction in question, the method introduces significant corrections to the adiabatic method which agree qualitatively with earlier calculations using the quasiadiabatic method.