We present a photometric, spectroscopic, asteroseismic, and evolutionary analysis of the Algol-type eclipsing binary KIC 12268220. We find the O'Connell effect and anticorrelated eclipse timing variations in the Kepler light curve, revealing the presence of large starspots. Radial velocities and atmospheric parameters are obtained from ground-based spectroscopic observations. Combined with the radial velocity measurements and Gaia-derived total luminosity, our light-curve modeling yields the solution of the physical parameters for both the primary and secondary components. We find 14 independent frequencies arising from the $\delta$ Scuti primary, and the observed frequencies agree with the frequency range of unstable modes from nonadiabatic calculations. Based on the conclusion from previous literature, we run a grid of models to study the evolution process of our system. The evolutionary tracks of our model suggest that the low-mass ($\sim 0.23\,M_\odot$) evolved secondary shows a similar evolutionary state to the R CMa-type system, which might evolve to an EL CVn system.

中文翻译：

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KIC 12268220：日食双星系统中的 δ Scuti 脉动星和活动的原氦白矮星

我们展示了对 Algol 型食双星 KIC 12268220 的光度、光谱、星震和演化分析。我们在开普勒光曲线中发现了奥康奈尔效应和反相关日食时间变化，揭示了大星斑的存在。径向速度和大气参数是从地面光谱观测中获得的。结合径向速度测量和 Gaia 导出的总光度，我们的光曲线建模产生了主要和次要分量的物理参数的解决方案。我们发现 $\delta$ Scuti 初级产生的 14 个独立频率，并且观察到的频率与非绝热计算中不稳定模式的频率范围一致。根据以往文献的结论，我们运行一个模型网格来研究我们系统的演化过程。我们模型的演化轨迹表明，低质量 ($\sim 0.23\,M_\odot$) 演化的次级显示出与 R CMa 型系统相似的演化状态，可能演化为 EL CVn 系统。