Optical super-orbital modulation of SMC X-1: Disk precession and a revised pulsar mass
SMC X-1 的光学超轨道调制:吸积盘进动与修订后的脉冲星质量
The observational determination of the lower limit of neutron star masses is crucial for the physics of core-collapse supernovae. In this light, SMC X-1 is an important object because of its estimated pulsar mass lying near or potentially below the theoretical lower limit. SMC X-1 exhibits a double-peaked optical orbital light curve due to the tidal distortion of the donor star, and analysis of this allows us to constrain the binary parameters. In this study, we analyzed optical and X-ray light curves of SMC X-1 obtained by Transiting Exoplanet Survey Satellite and Monitor of All-sky X-ray Image. We found the systematic variations in the optical orbital light curves synchronized with the X-ray super-orbital modulation, regarding the following two aspects: the minimum at inferior conjunction and the double-peak asymmetry. To explain this behavior, we developed a modified ellipsoidal modulation model in which the precessing accretion disk changes the geometry of X-ray irradiation on the donor and that of optical irradiation on the disk. As a result, this model succeeded in reproducing the observed optical and X-ray light curves. Furthermore, we discovered that intense X-ray irradiation could cause the optical emission center to shift away from the gravitational center, potentially leading to an underestimation of the radial velocity of the donor by approximately 20%. Correcting for this effect yields an updated pulsar mass estimation of about <inline-formula><tex-math>$1.35\, M_{\odot}$</tex-math></inline-formula>.
展开 ▾利用 TESS 高时间分辨率逐周期光变,明确显示 SMC X-1 下合极小深度和双峰不对称随 X 射线超轨道相位变化;模型揭示强 X 射线辐照可使供体星视向速度低估约 20%,脉冲星质量由约 1.11 太阳质量上修至约 1.35 太阳质量。
此前 SMC X-1 的脉冲星质量主要来自 van der Meer+ 2007 的视向速度解,以及 Rawls+ 2011、Coe+ 2013 对轨道折叠椭球光变的拟合,结果普遍接近甚至低于超新星理论预期的中子星质量下限。这类研究受限于地面测光精度和采样,只能平均折叠轨道光变,难以考察 X 射线超轨道相位带来的系统变化。本文继承 Gerend & Boynton 1976 对 Her X-1 和 Heemskerk & van Paradijs 1989 对 LMC X-4 的进动吸积盘图像,进一步加入供体星紫外/光学辐射在盘上的再处理,并用 TESS 与 MAXI 联测细致重建光变。展望上,未来高精度光谱观测若能区分视向速度曲线的截幅行为,将直接检验约 20% 的 RV 低估;对吸积盘翘曲、X 射线各向异性和自转-轨道倾角的进一步约束,也有望更可靠地确定这类近理论下限中子星的质量与演化路径。
预印本 2026-05-20 · 刊出 2026-06-11 · 收录 2026-08-20