Title: Investigating Dynamical Properties of Globular Clusters through a Family of Lowered Isothermal Models Show Chinese title

Title: 通过一族降低的等温模型研究球状星团的动力学性质

Abstract: To investigate the dynamical properties of globular clusters, the surface brightness and kinematic data were collected and fitted to a family of lowered isothermal models called LIMEPY models. For 18 studied globular clusters, the amounts of concentration, truncation, and anisotropy were determined. In addition, the cluster mass, half-mass radius, distance, and mass-to-light ratio were also obtained. In general, LIMEPY models could describe these clusters well. Among these 18 clusters, NGC 5139, NGC 6388, and NGC 7078 were claimed to be candidates to host intermediate-mass black holes in literature. The models could not appropriately fit the central proper-motion velocity dispersion of NGC 5139 and the slope of proper-motion velocity-dispersion profile of NGC 6388. Thus, more dedicated models with intermediate-mass black holes or a group of stellar-mass black holes at cluster centers may need to be considered. Considering NGC 7078, our model with some degree of anisotropy can fit the data. Finally, the strong concentration-truncation anti-correlation and truncation-semimajor-axis correlation were revealed, which could be the observational imprint of the dynamical evolution of globular clusters. Show Chinese abstract

Abstract: 为了研究球状星团的动力学特性，收集了表面亮度和运动学数据，并将其拟合到一组称为LIMEPY模型的降低等温模型族。 对于18个研究的球状星团，确定了集中度、截断和各向异性的数量。 此外，还获得了星团质量、半质量半径、距离和质量-光度比。 一般来说，LIMEPY模型可以很好地描述这些星团。 在这些18个星团中，NGC 5139、NGC 6388和NGC 7078在文献中被认为是有潜力包含中等质量黑洞的候选者。 这些模型无法适当拟合NGC 5139中心的自行速度弥散和NGC 6388的自行速度弥散剖面斜率。 因此，可能需要考虑带有中等质量黑洞或在星团中心的一组恒星级黑洞的专门模型。 考虑到NGC 7078，我们的模型在一定程度的各向异性下可以拟合数据。 最后，揭示了强烈的集中度-截断反相关性和截断-半长轴相关性，这可能是球状星团动力学演化的观测印记。