Rutherford scattering is usually described by treating the projectile either classically or as quantum mechanical plane waves. Here we treat them as wave packets and study their head-on collisions with the stationary target nuclei. We simulate the quantum dynamics of this one-dimensional system and study deviations of the average quantum solution from the classical one. These deviations are traced back to the convexity properties of Coulomb potential. Finally, we sketch how these theoretical findings could be tested in experiments looking for the onset of nuclear reactions.

中文翻译：

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正面碰撞中的非经典轨迹

卢瑟福散射通常通过经典地或量子力学平面波处理射弹来描述。在这里，我们将它们视为波包，并研究它们与静止目标核的正面碰撞。我们模拟这个一维系统的量子动力学，并研究平均量子解与经典解的偏差。这些偏差可以追溯到库仑势的凸性特性。最后，我们概述了如何在寻找核反应开始的实验中测试这些理论发现。