标题： 径向振荡的混合星和中子星包含Delta重子：慢夸克相变的影响 显示英文标题

标题： Radial Oscillations of Hybrid Stars and Neutron Stars including Delta baryons: The Effect of a Slow Quark Phase Transition

摘要： 我们研究由强子外部层随后是夸克物质核心组成的混合中子星的径向振荡。 我们采用包含超子和${\Delta}$重子的密度依赖性相对论平均场模型来描述强子物质，并采用密度依赖性夸克模型来描述夸克物质。 我们获得了 N、N+${\Delta}$、N+H 和 N+H+${\Delta}$状态方程的前十最低本征频率及其对应的振荡函数，在 1.4 和 1.8 ${M_{\odot}}$处发生向夸克物质的相变，重点研究了强子-夸克界面处缓慢相变的影响。 我们观察到，对于缓慢的相变，最大质量在基频消失之前达到，这表明一些中心密度高于最大质量的恒星结构即使在经历小的径向扰动时仍然稳定。 显示英文摘要

摘要： We study radial oscillations of hybrid neutron stars composed of hadronic external layers followed by a quark matter core. We employ a density-dependent relativistic mean-field model including hyperons and ${\Delta}$ baryons to describe hadronic matter, and a density-dependent quark model for quark matter. We obtain the ten lowest eigenfrequencies and the corresponding oscillation functions of N, N+${\Delta}$, N+H, and N+H+${\Delta}$ equations-of-state with a phase transition to the quark matter at 1.4 and 1.8 ${M_{\odot}}$, focusing on the effects of a slow phase transition at the hadron-quark interface. We observe that the maximum mass is reached before the fundamental mode's frequency vanishes for slow phase transitions, suggesting that some stellar configurations with higher central densities than the maximum mass remain stable even when they undergo small radial perturbations.