In an effort to find an effective interaction that can consistently be used for both the mean-field part and the residual part in beyond-mean-field theories, the properties of the Skyrme interactions as a residual interaction are investigated. The time-dependent density-matrix theory (TDDM) is used as a beyond-mean-field theory and the ground states of $^{16}$O and $^{40}$Ca are calculated using the five standard parametrizations of the Skyrme interaction, which differ in density and momentum dependence. It is found that the Skyrme interaction, which has strong density dependence and weak momentum dependence, induces substantial ground-state correlations comparable to the results of other theoretical calculations.

中文翻译：

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Skyrme 力的性质作为超平均场理论中的剩余相互作用

为了在超平均场理论中找到可以始终用于平均场部分和剩余部分的有效相互作用，研究了作为剩余相互作用的 Skyrme 相互作用的性质。时间相关的密度矩阵理论 (TDDM) 用作超平均场理论，$^{16}$O 和 $^{40}$Ca 的基态是使用以下五个标准参数化计算的Skyrme 相互作用，其密度和动量依赖性不同。发现具有强密度依赖性和弱动量依赖性的 Skyrme 相互作用引起了与其他理论计算结果相当的大量基态相关性。