We explore the possibility of a structured hadron-quark mixed phase forming in the interior of neutron stars. The quark-meson coupling (QMC) model, which explicitly incorporates the internal quark structure of the nucleon, is employed to describe the hadronic phase, while the quark phase is described by the same bag model as the one used in the QMC framework, so as to keep consistency between the two coexisting phases. We analyze the effect of the appearance of hadron-quark pasta phases on the neutron-star properties. We also discuss the influence of nuclear symmetry energy and the bag constant $B$ in quark matter on the deconfinement phase transition. For the treatment of the hadron-quark mixed phase, we use the energy minimization method and compare it with the Gibbs construction. The finite-size effects like surface and Coulomb energies are taken into account in the energy minimization method; they play crucial roles in determining the pasta configuration during the hadron-quark phase transition. It is found that the finite-size effects can significantly reduce the region of the mixed phase relative to that of the Gibbs construction. Using a consistent value of $B$ in the QMC model and quark matter, we find that hadron-quark pasta phases are formed in the interior of massive stars, but no pure quark matter can exist.

中文翻译：

---

夸克-介子耦合模型中的强子-夸克混合相

我们探索在中子星内部形成结构强子-夸克混合相的可能性。夸克-介子耦合（QMC）模型（明确包含核子的内部夸克结构）用于描述强子相，而夸克相由与QMC框架中使用的袋模型相同的袋模型进行描述，因此以保持两个共存阶段之间的一致性。我们分析了强子夸克面食相的出现对中子星特性的影响。我们还将讨论核对称能量和布袋常数的影响$乙$在夸克物质上的脱限相转变。对于强子夸克混合相的处理，我们使用了能量最小化方法，并将其与吉布斯构造进行了比较。能量最小化方法考虑了表面和库仑能之类的有限大小的影响。在强子夸克相变过程中，它们在确定面食配置方面起着至关重要的作用。已经发现，相对于吉布斯构造，有限尺寸效应可以显着减小混合相的区域。使用一致的值$乙$ 在QMC模型和夸克物质中，我们发现强子夸克面食相在大质量恒星内部形成，但没有纯夸克物质存在。