基于协变 Vlasov 方法的相对论性冷不对称核物质中的集体模式
Collective modes in relativistic cold asymmetric nuclear matter within the covariant Vlasov approach
AI总结：
本文采用协变相对论 Vlasov 方法和 11 个相对论平均场模型，系统计算不对称核物质中纵向集体模式的色散关系，揭示其传播与状态方程及对称能硬度的关联。
摘要：
一种基于 Vlasov 方程的协变相对论方法被应用于研究无限不对称核物质。我们使用若干 Walecka 型强子模型，并获得了纵向模式的色散关系。在具有不同核物质性质的 11 个相对论平均场模型组成的集合中，我们在很宽的密度范围内，将同位旋矢量和同位旋标量集体模式确定为同位旋不对称度和动量转移的函数。研究特别关注了处于 β 平衡的物质。结果表明，同位旋标量型和同位旋矢量型模式能否传播，直接取决于对称核物质状态方程和对称能的密度依赖关系：较硬的状态方程有利于同位旋标量型集体模式在高密度下传播，而较硬的对称能决定了同位旋矢量型模式的行为，这类模式在低于两倍饱和密度的密度下传播。文中还讨论了核模式与电子等离激元的耦合。
英文摘要：
A covariant relativistic approach based on the Vlasov equation is applied to the study of infinite asymmetric nuclear matter. We use several Walecka-type hadronic models and obtain the dispersion relations for the longitudinal modes. The isovector and isoscalar collective modes are determined for a wide range of densities as a function of isospin asymmetry and momentum transfer within a set of eleven relativistic mean field models with different nuclear matter properties. Special attention is given to beta-equilibrium matter. It is shown that the possible propagation of isoscalar and isovector-like modes depends directly on the density dependence of the symmetric nuclear matter equation of state and of the symmetry energy, with a stiff equation of state favouring the propagation of isoscalar like collective modes at high densities, and a stiff symmetry energy defining the behavior of the isovector like modes which propagate for densities below two times saturation density. The coupling of the nuclear modes to the electron plasmon is also discussed.
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