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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

Ogata, Kazuyuki*; Hashimoto, Shintaro  ; Chiba, Satoshi

The differential cross sections of two-nucleon transfer reactions $$^{238}$$U($$^{18}$$O,$$^{16}$$O)$$^{240}$$U around 10 MeV per nucleon are calculated by one-step Born-approximation with a three-body model. The three-body wave function in the initial channel is obtained with CDCC, and that in the final channel is evaluated with adiabatic approximation. The cross sections have a peak around the grazing angle, and the spin distribution is investigated. The shape of the distribution is found not sensitive to the incident energies, optical potentials, and treatment of the breakup channels, while it depends on the excitation energy of the residual nucleus $$^{240}$$U. The peak of the distribution moves to the large-spin direction as the excitation energy increases. To fulfill the condition that the peak position should not exceeds 10$$hbar$$, which is necessary for the surrogate ratio method to work, it is concluded that the excitation energy must be less than 10 MeV.

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Category:Nuclear Science & Technology

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