The Effect of Iterative Solutions in the Quasi-adiabatic Treatment of Transfer Reactions Involving Deuterons

Authors: MUSTAFA YILMAZ, BÜLENT GÖNÜL

Abstract: Using an iterative scheme, the effects of a more correct treatment of large n-p components of deuteron channel wavefunction in the continuum, which are associated with near-side contributions of transition amplitude, are investigated in the framework of the reformulated quasi-adiabatic model for the \( ^{116} \)Sn \( (d,p) \) \( ^{117} \)Sn reaction at 79 MeV bombarding energy. As the \( \ell_{n} \)-transfer rises, the far-side amplitude increases with improvements in the linear and angular momentum responce, which results in a relative suppression of the near-side components of the amplitude. Therefore, one might expect that the iteration of the quasi-adiabatic model calculations could provide significant improvements for the momentum mismatched reactions associated with low \( \ell_{n} \)-transitions at medium energies. However, the modifications brought by the iterative solution are analyzed quantitatively and shown not to be significant for both the angular momentum mismatched-volume dominated low \( \ell_{n} \)-transitions and well angular momentum matched-surface dominated large \( \ell_{n} \)-transitions, as there has been found no considerable effect on the angular distributions of the reaction observables in going from the zeroth order to the iterated calculations for the reaction of interest.

Keywords:

Full Text: PDF