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研究生: 趙桓平
Chao, Huan-Ping
論文名稱: 緻密雙星之相位解析光譜建模與輻照效應分析:以PSR J0952-0607為例
Phase-Resolved Spectral Modeling and Irradiation Analysis of Compact Binaries: A Case Study of PSR J0952-0607
指導教授: 李君樂
Li, Kwan-Lok
學位類別: 碩士
Master
系所名稱: 理學院 - 物理學系
Department of Physics
論文出版年: 2026
畢業學年度: 114
語文別: 英文
論文頁數: 70
中文關鍵詞: 蜘蛛雙星光譜合成輻照誘發K修正
外文關鍵詞: Spider Binary, Spectral Synthesis, Irradiation-induced K-correction
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  • 徑向速度法是測量緻密雙星系統軌道參數與天體質量的重要方法。然而,在蜘蛛雙星(Spider Binary)等受到強烈輻照作用的系統中,伴星表面的不均勻溫度分布可能改變觀測光譜的形成位置,進而影響由吸收線所測得的徑向速度,造成質量估計上的系統性偏差。為研究此效應,本研究開發了一套緻密雙星光譜合成模型,結合 Roche 幾何、數值表面建模與哥廷根光譜庫(Göttingen Spectral Library),可模擬受潮汐形變伴星的相位解析光譜。

    以蜘蛛雙星系統 PSR J0952-0607 為例,本研究分別模擬輻照與非輻照情況下的觀測光譜,並探討輻照對徑向速度量測的影響。結果顯示,輻照會使光通量加權的光心(Center of Light)向緻密主星方向偏移。當使用非輻照模型解讀受輻照影響的光譜時,所測得的徑向速度半振幅將被低估約 7.33 ± 0.57% 至 10.28 ± 0.86%,其所對應的一階質量函數偏差約為 21.88 ± 1.70% 至 30.84 ± 2.59%。進一步利用馬可夫鏈蒙地卡羅方法進行參數擬合,得到 $7.60^{+0.13}_{-0.13},%$ 的半振幅偏差以及約 21.44% 的質量函數偏差,與前述一階估計結果一致。本研究顯示,對於此系統,若在徑向速度測量中忽略輻照效應,一顆真實質量為 2.35M⊙ 的中子星,其推得質量可能被系統性低估為約 1.85M⊙。

    The radial-velocity method is one of the primary techniques for determining the orbital parameters and masses of compact binary systems. However, in strongly irradiated systems such as spider binaries, the non-uniform temperature distribution across the companion surface can alter the formation of the observed spectrum, potentially introducing systematic biases into radial-velocity measurements and the inferred masses. To investigate this effect, we develop a compact-binary spectral-synthesis framework that combines Roche geometry, numerical surface modeling, and the Göttingen Spectral Library to generate phase-resolved spectra of tidally distorted companion stars.

    Using the spider-binary system PSR J0952-0607 as a case study, we simulate the observed spectra under both irradiated and non-irradiated conditions and investigate the impact of irradiation on radial-velocity measurements. The results show that irradiation shifts the flux-weighted center of light toward the compact primary. When irradiated spectra are interpreted using a non-irradiated model, the inferred radial-velocity semi-amplitude is underestimated by approximately 7.33 ± 0.57% to 10.28 ± 0.86 %, depending on the adopted velocity template. The corresponding first-order bias in the mass function is estimated to be 21.88±1.70% to 30.84±2.59 %. Furthermore, parameter estimation using a Markov Chain Monte Carlo approach yields a radial-velocity semi-amplitude bias of $7.60^{+0.13}_{-0.13},%$ and a mass-function bias of approximately 21.44 %, in excellent agreement with both the direct radial-velocity measurements and the first-order prediction derived from the center-of-light analysis. Our results demonstrate that, for this system, neglecting irradiation effects in radial-velocity measurements may cause a neutron star with a true mass of .35M⊙ to be inferred to have a mass of only approximately 1.85M⊙.

    中文摘要 i Abstract ii Acknowledgements iv Contents v List of Tables vii List of Figures viii 1 Introduction 1 2 Background and Literature Review 4 2.1 Classical Binary systems and Roche Potential 4 2.2 Radial Velocity Method and Mass Function 8 2.3 Spider Binaries and the K-correction problem 11 2.4 Numerical Surface Modeling 14 2.5 Stellar Atmosphere Models 15 3 Methodology 17 3.1 Compact Binary Modeling 17 3.2 Irradiation 21 3.3 Spectral Synthesis and Interpolation Error 23 3.4 Center-of-Light Radial Velocity Extraction 27 3.5 Parameter Estimation 29 4 Results 33 4.1 Simulation of PSR J0952–0607 33 4.2 Interpolation Error 39 4.3 Irradiation Bias in PSR J0952–0607 41 4.3.1 Bias of Center of Light 41 4.3.2 Bias of Estimated Parameters 43 5 Discussions 50 5.1 Model Limitations and Possible Improvements 50 5.2 Quantifying Irradiation-induced K-corrections 51 5.3 Future Applications of the Framework 53 6 Conclusions 54 References 56

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