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We investigate the properties of the color-flavor-locked (CFL) quark matter at finite temperature and under strong magnetic fields within quasiparticle model. Our results indicate that the pressure of CFL quark matter may become anisotropic under strong magnetic fields, and the equations of state (EOS) and the equivalent quark mass can be strongly influenced by the temperature, the energy gap constat Δ, and the strong magnetic fields inside the CFL quark matter. The equivalent quark mass of CFL quark matter decreases with the increment of the temperature and magnetic field strength, which implies a inverse magnetic catalysis phenomenon. The results also indicate that the entropy per baryon of the CFL quark matter increases with the temperature and decreases with Δ. Furthermore, we study the properties of the CFL magnetars in different isentropic stages, and the results indicate that the star mass and radius is mainly dependent on the strength and orientation distributions of the magnetic field inside the CFL magnetars. The maximum star mass increases with the entropy per baryon, and the temperature of the star matter increases at the large isentropic stages. Moreover, our results also suggest that the polytropic index of the CFL quark matter decrease with the increment of the star mass.
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Keywords:
- Color-flavor-locked phase /
- Quark star /
- Magnetar
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图 1 不同温度与能隙常数下色味锁态物质的每核子自由能与横纵向压强随着$ n_B $的变化关系
Figure 1. The free energy per baryon and pressures of CFL quark matter with $ n_B $ at finite temperature and with different $ \Delta $.
图 2 不同温度与能隙常数下u夸克的有效质量随磁感应强度的变化
Figure 2. The equivalent mass of u quarks as a function of the magnetic field with different temperature and $ \Delta $.
图 3 色味锁态下夸克星物质的每核子熵随着不同温度、磁场、能隙常数的变化
Figure 3. The entropy per baryon of the quark star matter in MCFL state with various temperature, magnetic field, and $ \Delta $.
图 4 MCFL下夸克物质的多方指数随磁场、温度、能隙常数的变化规律
Figure 4. The polytropic index of the MCFL quark star matter as a function of the magnetic field strength, temperature, and $ \Delta $.
图 5 不同等熵阶段中的色味锁磁星的质量-半径情况
Figure 5. The star mass as functions of the radius of the MCFL quark stars along different isentropic stages.
图 6 不同等熵阶段下色味锁夸克星内部温度随$ n_B $与磁场的变化
Figure 6. The temperature of the MCFL quark star matter as functions of $ n_B $ and magnetic field along different isentropic stages.
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