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Hot fusion reactions with deformed nuclei for synthesis of superheavy nuclei: An extension of the fusion-by-diffusion model

机译：具有变形核的热熔反应用于合成超核核：逐扩散模型的延伸

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The fusion-by-diffusion model proposed by Swiatecki et al. [Phys. Rev. C 71, 014602 (2005)] has provided a simple and convenient tool to estimate evaporation residue cross sections for superheavy nuclei. I extend this model by taking into account deformation of the target nucleus, and discuss the role of orientation of a deformed target in hot fusion reactions at energies around the Coulomb barrier. To this end, I introduce an injection point for the diffusion process over an inner barrier which depends on the orientation angle. I apply this model to the Ca-48 + Cm-248 reaction and show that the maximum of evaporation residue cross section appears at an energy slightly above the height of the capture barrier for the side collision, for which the effective inner barrier is considerably lower than that for the tip collision, thus enhancing the diffusion probability. I also discuss the energy dependence of the injection point, and show that a large part of the energy dependence found in the previous analyses can be attributed to the deformation effect of a target nucleus.
机译：Swiatecki等人提出的逐扩散模型。 [物理。 Rev. C 71,014602（2005）]提供了一种简单方便的工具，可以估算过度核的蒸发残留横截面。我通过考虑靶核的变形来扩展该模型，并讨论在对库仑屏障周围的能量的热熔反应中的变形靶向取向的作用。为此，我将用于在内部屏障上的扩散过程引入注射点，这取决于取向角度。我将该模型应用于CA-48 + CM-248反应，并表明蒸发残留横截面的最大值略高于侧碰撞的捕获屏障高度的能量，有效内屏障相当较低而不是尖端碰撞，从而提高扩散概率。我还讨论了注射点的能量依赖性，并表明在先前分析中发现的大部分能量依赖性可归因于靶核的变形效果。

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