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A Systematics to Investigate the (n, ) Cross Section with Energy Below 20 MeV Based on the Evaporation and Exciton Models

Volume 147 · Number 1 · May 2004 · Pages 63-72
Technical Paper

Sheng Fan, Xiaochun Shi, Fang Yan, Hongzhou Zhang, Zhixiang Zhao

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To simplify the calculation, some assumptions are considered in the current work. The preequilibrium emission in the first step in the equilibrium process, which is characterized by exciton n = 3 and "never come back," is considered in the preequilibrium emission process; the alpha emission is only completed with the neutron and proton emission, and the second particle emission is neglected. Under those assumptions, a semiempirical systematics of the cross section for the (n, ) reaction is obtained on the basis of the evaporation and exciton models for the energies ranging up to 20 MeV. Within the nuclide mass region of 23 A 209, a strong dependence on (N - Z + 1)/A and the incident neutron has been observed. The predictions of the semiempirical systematics with the global parameter of the excitation functions for the (n, ) reaction are in good agreement with the experimental data.
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