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Skyrme能量密度泛函的张量部分。II:幻核和半幻核的形变性质

Tensor part of the Skyrme energy density functional. II: Deformation properties of magic and semi-magic nuclei

M. Bender, K. Bennaceur, T. Duguet, P. -H. Heenen, T. Lesinski, J. Meyer

摘要:

本文系统地研究了Skyrme能量密度泛函中的时偶张量项,即自旋电流张量密度中的双线性项对对应于20、28、40、50、82和126个中子或质子壳层闭合的闭合壳层核形变性质的影响。我们比较了三种不同的Skyrme参数化的结果,它们的张量项已经根据球核的性质进行了调整:(i)本系列第一篇文章[T. Lesinski等人,Phys.Rev.C76,014312(2007)],其通过完全重新调整其余的函数(ii)参数化而构建,所述参数化的张量项已经微扰地添加到现有Skyrme相互作用中,具有或不具有重新调整自旋-轨道耦合常数。我们详细分析了张量项对变形特性的影响背后的机制,以及研究后者如何帮助筛选出不切实际的参数化。预计本论文的研究结果在很大程度上独立于中心和自旋轨道相互作用的剩余缺陷,并将对未来改进的能量泛函的构建具有重要价值。

英文摘要:

We study systematically the impact of the time-even tensor terms of the Skyrme energy density functional, i.e. terms bilinear in the spin-current tensor density, on deformation properties of closed shell nuclei corresponding to 20, 28, 40, 50, 82, and 126 neutron or proton shell closures. We compare results obtained with three different families of Skyrme parameterizations whose tensor terms have been adjusted on properties of spherical nuclei: (i) TIJ interactions proposed in the first paper of this series [T. Lesinski et al., Phys. Rev. C 76, 014312 (2007)] which were constructed through a complete readjustment of the rest of the functional (ii) parameterizations whose tensor terms have been added perturbatively to existing Skyrme interactions, with or without readjusting the spin-orbit coupling constant. We analyse in detail the mechanisms at play behind the impact of tensor terms on deformation properties and how studying the latter can help screen out unrealistic parameterizations. It is expected that findings of the present paper are to a large extent independent of remaining deficiencies of the central and spin-orbit interactions, and will be of great value for the construction of future, improved energy functionals.

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