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 3ohnson-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 Wein-berg 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 Zn(d, p) Zn (g. s. ; 5/2; 8 =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.