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


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.


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