Three-Body Model Calculation of Spin Distribution in Two-Nucleon Transfer Reaction for the System of ^<238>U(^<18>O, ^<16>O)^<240>U Reaction

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The differential cross sections of two-nucleon transfer reactions 238U(18O,16O)240U around 180 MeV are calculated by one-step Born approximation with a 16O+2n+238U three-body model. The wave function in the initial channel is obtained by the continuum-discretized coupled-channels method, and that in the final channel is evaluated by adiabatic approximation. The cross sections have a peak around the grazing angle, and the spin distribution, i.e., the cross section at the peak as a function of the transferred spin, is investigated. The shape of the spin distribution is found to be not sensitive to the incident energies, optical potentials, and treatment of the breakup channels, whereas it depends on the excitation energy of the residual nucleus 240U. To fulfill the condition that the peak position should not exceeds 10ħ, which is necessary for the surrogate ratio method to work, it is concluded that the excitation energy must be less than 10 MeV.
2011-10-01