标题： $g$- 中子星的模式，具有强子到夸克的交叉过渡 显示英文标题

标题： $g$-modes of neutron stars with hadron-to-quark crossover transitions

摘要： 我们首次研究了包含夸克物质的混合星中主核$g$模式振荡，采用了受格点QCD启发的强子到夸克转变的交叉模型。 随后的结果与我们最近利用Gibbs构造法在具有一阶相变的混合星中得到的$g$模式频率进行了比较。 我们发现，使用Gibbs构造的模型产生的$g$模式振幅及其相关的引力能量辐射超过了所选交叉模型的结果，这是由于各种模型中平衡和绝热声速的不同行为所致。 根据我们的结果，我们得出结论，如果在升级后的LIGO和Virgo探测器中检测到$g$模式，这将表明类似于Gibbs构造的一阶相变。 显示英文摘要

摘要： We perform the first study of the principal core $g$-mode oscillation in hybrid stars containing quark matter, utilizing a crossover model for the hadron-to-quark transition inspired by lattice QCD. The ensuing results are compared with our recent findings of $g$-mode frequencies in hybrid stars with a first-order phase transition using Gibbs constructions. We find that models using Gibbs construction yield $g$-mode amplitudes and the associated gravitational energy radiated that dominate over those of the chosen crossover model owing to the distinct behaviors of the equilibrium and adiabatic sound speeds in the various models. Based on our results, we conclude that were $g$-modes to be detected in upgraded LIGO and Virgo detectors it would indicate a first-order phase transition akin to a Gibbs construction.