A Possible Formation Scenario of the Gaia BH1: Inner Binary Merger in Triple Systems

Zhuowen Li, Chunhua Zhu, Xizhen Lu, Guoliang Lü, Lin Li, Helei Liu, Sufen Guo and Jinlong Yu
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Abstract

Based on astrometric measurements and spectral analysis from Gaia DR3, two quiescent black hole (BH) binaries, Gaia BH1 and BH2, have been identified. Their origins remain controversial, particularly for Gaia BH1. By considering a rapidly rotating (ω/ωcrit = 0.8) and strongly magnetized (B0 = 5000 G) merger product, we find that, at typical Galactic metallicity, the merger product can undergo efficient chemically homogeneous evolution. This results in the merger product having a significantly smaller radius during its evolution compared to that of a normally evolving massive star. Under the condition that the initial triple stability is satisfied, we use the Multiple Stellar Evolution code and the MESA code to identify an initial hierarchical triple that can evolve into Gaia BH1. It initially consists of three stars with masses of 9.03 M⊙, 3.12 M⊙, and 1 M⊙, with inner and outer orbital periods of 2.21 days and 121.92 days, and inner and outer eccentricities of 0.41 and 0.45, respectively. This triple initially experiences triple evolution dynamics instability (TEDI) followed by Roche lobe overflow (RLOF). During RLOF, the inner orbit shrinks, and tidal effects gradually suppress the TEDI. Eventually, the inner binary undergoes a merger through contact (or collision). Finally, using models of rapidly rotating and strongly magnetic stars, along with standard core-collapse supernova (SN) or failed supernova (FSN) models, we find that a postmerger binary (PMB) consisting of an 12.11 M⊙ merger product and a 1 M⊙ companion star (originally an outer tertiary) can avoid RLOF. After an SN or FSN with a low ejected mass of ∼0.22 M⊙ and a low kick velocity ( or ), the PMB can form Gaia BH1 in the Galactic disk.
盖亚 BH1 的可能形成情景:三重系统中的内双星合并
根据盖亚DR3的天体测量和光谱分析,确定了两个静态黑洞(BH)双星--盖亚BH1和BH2。它们的起源仍然存在争议,尤其是盖亚BH1。通过考虑快速旋转(ω/ωcrit = 0.8)和强磁化(B0 = 5000 G)的合并产物,我们发现在典型的银河系金属度下,合并产物可以经历高效的化学均匀演化。这使得合并产物在演化过程中的半径明显小于正常演化的大质量恒星。在满足初始三倍稳定性的条件下,我们使用多恒星演化代码和MESA代码确定了一个可以演化成盖亚BH1的初始分层三倍恒星。它最初由三颗恒星组成,质量分别为 9.03 M⊙、3.12 M⊙和 1 M⊙,内外轨道周期分别为 2.21 天和 121.92 天,内外偏心率分别为 0.41 和 0.45。这颗三重星最初经历了三重演化动力学不稳定性(TEDI),然后是罗氏叶溢出(RLOF)。在 RLOF 期间,内部轨道缩小,潮汐效应逐渐抑制了 TEDI。最终,内部双星通过接触(或碰撞)发生合并。最后,我们利用快速旋转和强磁性恒星模型,以及标准的核心坍缩超新星(SN)或失效超新星(FSN)模型,发现由一颗 12.11 M⊙合并产物和一颗 1 M⊙伴星(原本是外侧三级星)组成的合并后双星(PMB)可以避免 RLOF。在发生一次质量小于0.22 M⊙、踢出速度低(或)的SN或FSN后,PMB可以在银河系盘中形成盖亚BH1。
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