Skyrme能量密度泛函方法中相互矛盾的有效质量标度
Contradicting effective mass scalings within the Skyrme energy density functional method
摘要：
研究了Skyrme能量密度泛函（EDF）方法计算单粒子能谱中的有效质量标度问题。它表明，对于特定的轨道对通常预期的等效质量（m*）标度的单粒子水平分裂几乎被取消的隐式m* 标度由于其他参数的Skyrme EDF。这尤其适用于两体自旋轨道强度的间接m* 标度，使得理论在单粒子能量方面基本上不可预测。有人认为，这种非物理性质的Skyrme EDF仅仅是一个后果的战略和数据集，用于适应这些功能。包含某些单粒子自旋轨道分裂，以适应两体自旋轨道和张量相互作用强度恢复传统的m* 标度，并提高了Skyrme EDF的性能。
英文摘要：
The problem of the effective mass scaling in the single particle spectra calculated within the Skyrme energy density functional (EDF) method is studied. It is demonstrated that for specific pairs of orbitals the commonly anticipated isoscalar effective mass (m*) scaling of the single-particle level splittings is almost canceled by an implicit m*-scaling due to other parameters in the Skyrme EDF. This holds in particular for an indirect m*-scaling of the two-body spin-orbit strength making the theory essentially unpredictable with respect to single particle energies. It is argued that this unphysical property of the Skyrme EDF is a mere consequence of the strategies and datasets used to fit these functionals. The inclusion of certain single-particle spin-orbit splittings to fit the two-body spin-orbit and the tensor interaction strengths reinstates the conventional m*-scaling and improves the performance of the Skyrme EDF.
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