标题： 狄拉克玻色子星 显示英文标题

标题： Dirac-boson stars

摘要： 在本文中，我们构建了一个由标量场和两个狄拉克场组成的\textit{狄拉克玻色子星} (DBSs) 模型。标量场和两个狄拉克场都处于基态。我们分别考虑了同步频率$\tilde{\omega}$和非同步频率$\tilde{\omega}_D$的 DBSs 的解族。我们发现当狄拉克质量$\tilde{\mu}_D$和标量场频率$\tilde{\omega}_S$取某些特定范围时，存在几种不同的解。相比之下，在多态玻色子星的先前研究中没有发现类似的情况。 此外，我们讨论了DBSs每种解族的特性，并展示了DBSs的ADM质量$M$与同步频率$\tilde{\omega}$或非同步频率$\tilde{\omega}_D$之间的关系。最后，我们计算了DBSs的结合能$E_B$，并研究了$E_B$与同步频率$\tilde{\omega}$或非同步频率$\tilde{\omega}_D$之间的关系。 显示英文摘要

摘要： In this paper, we construct \textit{Dirac-boson stars} (DBSs) model composed of a scalar field and two Dirac fields. The scalar field and both Dirac fields are in the ground state. We consider the solution families of the DBSs for the synchronized frequency $\tilde{\omega}$ and the nonsynchronized frequency $\tilde{\omega}_D$ cases, respectively. We find several different solutions when the Dirac mass $\tilde{\mu}_D$ and scalar field frequency $\tilde{\omega}_S$ are taken in some particular ranges. In contrast, no similar case has been found in previous studies of multistate boson stars. Moreover, we discuss the characteristics of each type of solution family of the DBSs and present the relationship between the ADM mass $M$ of the DBSs and the synchronized frequency $\tilde{\omega}$ or the nonsynchronized frequency $\tilde{\omega}_D$. Finally, we calculate the binding energy $E_B$ of the DBSs and investigate the relationship of $E_B$ with the synchronized frequency $\tilde{\omega}$ or the nonsynchronized frequency $\tilde{\omega}_D$.