We perform a systematic study of capture excitation functions by using anempirical coupled-channel model. In this model, a barrier distribution is usedto take effectively into account the effects of couplings between the relativemotion and intrinsic degrees of freedom. The shape of the barrier distributionis of an asymmetric Gaussian form. The effect of neutron transfer channels isalso included in the barrier distribution. Based on the interaction potentialbetween the projectile and the target, empirical formulas are proposed todetermine the parameters of the barrier distribution. Theoretical estimates forbarrier distributions and calculated capture cross sections together withexperimental cross sections of 220 reaction systems with $182 \leqslant Z_{\rmP}Z_{\rm T} \leqslant 1640$ are tabulated. The results show that our empiricalformulas work quite well in the energy region around the Coulomb barrier. Thismodel can provide prediction of capture cross sections for the synthesis ofsuperheavy nuclei as well as valuable information on capture and fusiondynamics.
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机译：我们通过使用经验耦合通道模型对捕获激发函数进行了系统的研究。在此模型中，屏障分布用于有效考虑相对运动和固有自由度之间的耦合效应。势垒分布的形状是不对称的高斯形式。中子传输通道的影响也包括在势垒分布中。基于弹丸与目标之间的相互作用势，提出了经验公式来确定障碍物分布的参数。列出了具有$ 182 \ leqslant Z _ {\ rmP} Z _ {\ rm T} \ leqslant 1640 $的220个反应系统的势垒分布的理论估计值和计算的俘获截面以及实验截面。结果表明，我们的经验公式在库仑势垒周围的能量区域中运行良好。该模型可以为合成超重核提供捕获截面的预测，以及有关捕获和融合动力学的有价值的信息。
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