Abstract

In this paper we give formulae for three-particle corrections to the matter density of spherical fermionic quantum systems with an odd number of particles in their ground and excited states. The corrections add to the spherical shape due to pairing vibrations and also infer deformation. In order to achieve trackable results we performed a series of approximations which do not allow for considering more elaborate effects. The results can be applied to both atomic nuclei and small electronic systems such as atomic or molecular clusters.

中文翻译：

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简单的核加颗粒模型中的物质密度

摘要

在本文中，我们给出了对具有基数和激发态的奇数个粒子的球形铁电量子系统的物质密度进行三粒子校正的公式。由于成对的振动，这些校正增加了球形，并且还推断出变形。为了获得可跟踪的结果，我们执行了一系列近似运算，这些近似运算不允许考虑更精细的效果。结果可以应用于原子核和小型电子系统，例如原子或分子簇。