AI 中文总结
研究具有结晶地壳的磁化奇异矮星平衡序列，通过特定方法求解恒星结构，对比不同情况，发现地壳扩展到中子滴及磁各向异性会影响质量半径关系，为测试小核心奇异矮星情景提供相关区域。
AI 中文摘要
我们研究了由自束缚的麻省理工学院袋状奇异物质核心（\(B_{\rm bag}^{1/4}=145\,{\rm MeV}\)）和普通结晶地壳组成的磁化奇异矮星的平衡序列。目的是确定地壳中的核组成变化和磁压各向异性如何改变质量半径关系。奇异核心保持各向同性，地壳则通过在第一个逆β阈值处停止的纯原子核或扩展到中子滴的电子俘获序列来描述，对于碳、氧、氖和镁的组成情况；还考虑了选定的混合地壳直至首次不稳定。用径向压力作为积分压力来求解恒星结构，并将各向异性贡献\(2(P_t - P_r)/r\)限制在地壳中。将这种处理方法与普通白矮星序列和标量压力分支计算进行比较。我们发现，将地壳扩展到中子滴会产生比在逆β阈值处停止更紧凑的奇异矮星分支，因为演化后的地壳更软，核心地壳过渡发生在更高的压力下。磁各向异性进一步将选定的分支向更小半径移动，这种效应在所研究的各种组成中都可见，并且在固定恒星质量时更明显。与蒙特利尔白矮星数据库中的致密天体的比较仅用作观测参考平面，但它表明致密白矮星候选体是测试小核心奇异矮星情景的一个相关区域。
英文摘要
We study equilibrium sequences of magnetized strange dwarfs composed of a self bound MIT bag strange matter core, with \(B_{\rm bag}^{1/4}=145\,{\rm MeV}\), and an ordinary crystalline crust. The aim is to determine how nuclear composition changes and magnetic pressure anisotropy in the crust modify the mass radius relation. The strange core is kept isotropic, while the crust is described either by pure nuclei stopped at the first inverse beta threshold or by electron capture sequences extended to neutron drip for C, O, Ne, and Mg compositions; selected mixed crusts are also considered up to the first instability. The stellar structure is solved with the radial pressure as the integrated pressure and with the anisotropic contribution \(2(P_t-P_r)/r\) restricted to the crust. This treatment is compared with ordinary white dwarf sequences and with scalar pressure branch calculations. We find that extending the crust to neutron drip produces more compact strange dwarf branches than stopping at the inverse beta threshold, because the evolved crust is softer and the core crust transition occurs at higher pressure. Magnetic anisotropy further shifts the selected branches toward smaller radii, with the effect visible across the compositions studied and clearer at fixed stellar mass. The comparison with compact objects from the Montreal White Dwarf Database is used only as an observational reference plane, but it indicates that compact white dwarf candidates are a relevant region for testing small core strange dwarf scenarios.
