Dirac-boson stars

In this paper, we construct 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 omega tilde and the nonsynchronized frequency omega tilde (D) cases, respectively. We find several different solutions when the Dirac field mass mu tilde (D) and scalar field frequency omega tilde (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 omega tilde or the nonsynchronized frequency omega tilde (D). Finally, we calculate the binding energy E-B of the DBSs and investigate the relationship of E-B with the synchronized frequency omega tilde or the nonsynchronized frequency omega tilde (D).

Automated summary

In this paper, we propose a model called Dirac-boson stars (DBSs), which consists of a scalar field and two Dirac fields in the ground state. We investigate the solution families of DBSs for synchronized and nonsynchronized frequencies, and discover different types of solutions within specific ranges of Dirac field mass and scalar field frequency. Compared to previous studies on multistate boson stars, our findings are unique. Furthermore, we analyze the characteristics of each solution family and establish the relationship between the ADM mass of DBSs and the frequencies. Additionally, we calculate the binding energy of DBSs and explore its correlation with the frequencies.