论文标题
N2lo Skyrme能量功能的表面能量系数：半经典延长托马斯 - 富尔米
Surface energy coefficient of a N2LO Skyrme energy functional : a semiclassical Extended Thomas-Fermi approach
论文作者
论文摘要
我们概括为N2lo Skyrme函数语法和Voros的半古典方法，以计算出在N2LO水平上出现的新密度和电流的扩展Thomas Fermi表达式。在一个尺寸的对称半无限核物质模型中，并使用简单的费米样密度曲线，我们获得了易于使用的表面能量公式，包括中央，密度依赖性和旋转轨道的贡献，最高$ \ hbar^2 $。这种公式可以轻松用作首次尝试约束新的N2lo Skyrme参数化的表面特性。显示在本文中测试的N2LO参数化表现出与传统的Skyrme参数化获得的变化（与完整的Hartree-fock计算相比），该偏移（与完整的Hartree-fock计算相比）。
We generalize to N2LO Skyrme functionals the semi-classical approach of Grammaticos and Voros in order to calculate the Extended Thomas Fermi expressions of the new densities and currents appearing at the N2LO level. Within a one dimensional symmetric semi infinite nuclear matter model and using a simple Fermi-like density profile, we obtain an easy-to-use formula for the surface energy including the contributions of the central, density-dependent and spin-orbit terms up to $\hbar^2$. Such a formula can be easily used as a first attempt to constrain the surface properties of new N2LO Skyrme parametrizations. The N2LO parametrization tested in this paper is shown to exhibit a shift (compared to a full Hartree-Fock calculation) which is quantitatively similar to the one obtained with the traditional Skyrme parametrizations.
