涡旋、环面和压缩模态的一般处理
General Treatment of Vortical, Toroidal, and Compression Modes
摘要:
多极涡,环形,和压缩模式进行了分析。根据Ravenhall和Wambach的涡度概念,导出了涡度算子,并以一种简单的方式将其与环面算子和压缩算子联系起来。在$^{208}$ Pb中,使用Skyrme力SLy 6在随机相位近似下分析了模式的强度函数和速度场。对流和磁化核电流都考虑在内。结果表明,对流(磁化)核电流占主导地位,而压缩模式是完全对流的等速(等矢量)涡旋和环形模式。本文还简要地讨论了上述涡量概念与流体动力学涡量的关系。
英文摘要:
The multipole vortical, toroidal, and compression modes are analyzed. Following the vorticity concept of Ravenhall and Wambach, the vortical operator is derived and related in a simple way to the toroidal and compression operators. The strength functions and velocity fields of the modes are analyzed in $^{208}$Pb within the random-phase-approximation using the Skyrme force SLy6. Both convection and magnetization nuclear currents are taken into account. It is shown that the isoscalar (isovector) vortical and toroidal modes are dominated by the convection (magnetization) nuclear current while the compression mode is fully convective. The relation between the above concept of the vorticity to the hydrodynamical vorticity is briefly discussed.
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