论文标题
核和粒子物理中使用的光学模型中的分数演算
Fractional calculus within the optical model used in nuclear and particle physics
论文作者
论文摘要
光学模型是描述核物理中散射过程的基本工具。基本输入是光学模型电位，它或多或少地描述了折射和吸收过程。特别感兴趣的是吸收潜力的形式。随着入射弹能的增加，该电位的推导必须考虑到观察到的依赖能量从表面到体积类型的过渡。经典方法在这方面有弱点。我们将讨论这些缺陷，并将基于分数演算框架内开发的概念提出一种替代方法，该方法允许以适当的方式描述从表面到体积吸收的平稳过渡。
The optical model is a fundamental tool to describe scattering processes in nuclear physics. The basic input is an optical model potential, which describes the refraction and absorption processes more or less schematically. Of special interest is the form of the absorption potential. With increasing energy of the incident projectile, a derivation of this potential must take into account the observed energy dependent transition from surface to volume type. The classic approach has weaknesses in this regard. We will discuss these deficiencies and will propose an alternative method based on concepts developed within the framework of fractional calculus, which allows to describe a smooth transition from surface to volume absorption in an appropriate way.
