论文标题
现代和统一的国家方程式的多变态拟合
Polytropic fits of modern and unified equations of state
论文作者
论文摘要
冷中子恒星内部的状态方程式以三列桌显示,这些表与男性密度,能量密度和压力相关联。在过去的二十年中,已经建立了一些对这些表的分析表达式,这是为中子恒星物质提供大量核模型的便捷方法。其中一些分析表示基于状态的未统一方程,从某种意义上说,恒星的高密度和低密度部分未使用相同的核模型计算。基于分段多向表示形式的状态方程式拟合通过使用状态方程式的统一表进行修订,也就是说,该模型是针对核心和地壳始终计算的。选择了一组52个统一的状态方程。每个一个通过自适应分割将每个多层分配为七个多对流,每个多质系的两个参数拟合到状态的表方程。总质量,半径,潮汐变形性和中子恒星的惯性矩与拟合建模,并与原始表计算出的数量进行比较,以确保拟合在宏观参数上的准确性。我们为15个核子相对论平均场模型,七个超声相对论均值场模型,五个杂交相对论均值野外模型,24个核次Skyrme模型和1个从头算模型提供了多层参数。中子星的宏观参数上的拟合误差很小,并且在当前和下一代望远镜的估计测量准确性之内。
Equations of state for a cold neutron star's interior are presented in three-column tables that relate the baryonic density, the energy density, and the pressure. A few analytical expressions for those tables have been established these past two decades, as a convenient way to present a large number of nuclear models for neutron star matter. Some of those analytical representations are based on nonunified equations of state, in the sense that the high and the low density part of the star are not computed with the same nuclear model. Fits of equations of state based on a piecewise polytropic representation are revised by using unified tables of equations of state, that is to say models which have been calculated consistently for the core and the crust. A set of 52 unified equations of state is chosen. Each one is divided in seven polytropes via an adaptive segmentation, and two parameters per polytrope are fitted to the tabulated equation of state. The total mass, radius, tidal deformability and moment of inertia of neutron stars are modelled from the fits and compared with the quantities calculated from the original tables to ensure the accuracy of the fits on macroscopic parameters. We provide the polytropes parameters for 15 nucleonic relativistic mean field models, seven hyperonic relativistic mean field models, five hybrid relativistic mean-field models, 24 nucleonic Skyrme models, and one ab initio model. The fit error on the macroscopic parameters of neutron stars is small and well within the estimated measurement accuracy from current and next generation telescopes.