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arXiv 0708.1402astro-ph
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球状星团中致密双星群体的演化:玻尔兹曼研究。I.连续极限

Evolution of Compact-Binary Populations in Globular Clusters: A Boltzmann Study. I. The Continuous Limit

Sambaran Banerjee, Pranab Ghosh

摘要:

我们探索了一个研究球状星团致密双星种群演化的玻尔兹曼方案。我们包括紧凑的二进制形成的潮汐捕获和交换遇到,二进制破坏的解离和其他机制,和二进制硬化遇到,引力辐射和磁制动的过程中,质量转移过程中的轨道演变,以下罗氏瓣接触。对于随机性质的遭遇过程,我们在本介绍性工作中研究了概率连续极限,将随机项的具体处理推迟到下一步。我们着重研究了上述过程对球状星团中X射线源N_{XB}的数量和X射线双星轨道周期分布的影响。我们调查的依赖N_{XB}上的两个基本的集群属性,即,恒星和恒星的二进制闪烁率参数'伽玛'和'伽玛',我们称之为Verbunt参数。我们比较我们的模型结果与观察,表明N_{XB}的模型值和他们预期的缩放Verbunt参数与最近的银河系球状星团的X射线观测结果吻合得很好,鼓励我们建立更详细的模型。

英文摘要:

We explore a Boltzmann scheme for studying the evolution of compact binary populations of globular clusters. We include processes of compact-binary formation by tidal capture and exchange encounters, binary destruction by dissociation and other mechanisms, and binary hardening by encounters, gravitational radiation and magnetic braking, as also the orbital evolution during mass transfer, following Roche lobe contact. For the encounter processes which are stochastic in nature, we study the probabilistic, continuous limit in this introductory work, deferring the specific handling of the stochastic terms to the next step. We focus on the evolution of (a) the number of X-ray sources N_{XB} in globular clusters, and (b) the orbital-period distribution of the X-ray binaries, as a result of the above processes. We investigate the dependence of N_{XB} on two essential cluster properties, namely, the star-star and star-binary encounter-rate parameters 'Gamma' and 'gamma', which we call Verbunt parameters. We compare our model results with observation, showing that the model values of N_{XB} and their expected scaling with the Verbunt parameters are in good agreement with results from recent X-ray observations of Galactic globular clusters, encouraging us to build more detailed models.

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