We explore the stellar structure and radial stability of charged quark stars composed of interacting quark matter in three classes of commonly used charge models. We adopt a general parametrization of interacting quark matter equation of state that includes the corrections from perturbative QCD, color superconductivity, and the strange quark mass into one parameter $\lambda$, or one dimensionless parameter $\overline{\lambda }={\lambda }^2/(4B_{\mathrm{eff}})$ after being rescaled with the effective bag constant $B_{\mathrm{eff}}$. We find that increasing charge tends to increase the mass and radius profiles, and enlarges the separation size in mass between the maximum mass point and the point where zero eigenfrequencies ${\omega }_0^2=0$ of the fundamental radial oscillation mode occur. The sign of the separation in central density depends on the charge model; this separation also has a dependence on $\lambda$ such that increasing $\lambda$ (which can occur for either large color superconductivity or small strange quark mass) tends to decrease this separation size for the first and third classes of charge models monotonically. Moreover, for the second and third classes of charge models, we manage to numerically and analytically identify a new kind of stellar structure with a zero central pressure but with a finite radius and mass. All the calculations and analysis are performed in a general dimensionless rescaling approach so that the results are independent of explicit values of dimensional parameters.

中文翻译：

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带电相互作用夸克星的恒星结构和稳定性及其标度行为

我们在三类常用的电荷模型中探索了由相互作用的夸克物质组成的带电夸克星的恒星结构和径向稳定性。我们采用相互作用夸克物质状态方程的一般参数化，包括从微扰 QCD、颜色超导和奇异夸克质量到一个参数的校正$\lambda$, 或一个无量纲参数 $\overline{\lambda }={\lambda }^2/(4{乙}_{\mathrm{效果}})$ 在使用有效袋常数重新缩放后 ${乙}_{\mathrm{效果}}$. 我们发现增加电荷倾向于增加质量和半径分布，并扩大最大质量点和零特征频率点之间的质量分离尺寸${\omega }_0^2=0$的基本径向振荡模式发生。中心密度分离的符号取决于电荷模型；这种分离也依赖于$\lambda$ 以至于增加 $\lambda$（这可能发生在大型彩色超导或小型奇异夸克质量中）倾向于单调地减小第一类和第三类电荷模型的分离尺寸。此外，对于第二类和第三类电荷模型，我们设法通过数值和分析确定了一种新的恒星结构，其中心压力为零，但半径和质量有限。所有的计算和分析都是在通用的无量纲重标度方法中进行的，因此结果与量纲参数的显式值无关。