论文标题

NJL模型中具有矢量相互作用和杂化恒星结构的夸克物质

Quark Matter in the NJL Model with a Vector Interaction and the Structure of Hybrid Stars

论文作者

Alaverdyan, G. B.

论文摘要

当用局部SU(3)NAMBU-JONA-JONA-LASINIO(NJL)模型来描述夸克相的性能时,研究了夸克相的性能,这些模型考虑了夸克和轴向矢量相互作用的贡献,而在相关场中(RMF)模型中,夸克和轴向矢量相互作用的贡献。对于矢量耦合常数$ g_v $的不同值,计算夸克物质状态的方程,并在假设按照麦克斯韦的构造进行相变发生的假设下确定了强子夸克相变的参数。结果表明,对于较大的矢量耦合常数,夸克物质状态的方程将是“更硬”,并且相位的共存压力$ p_0 $将更大。使用结果状态的混合方程,TOV方程是数值集成的,并且针对中央压力$ p_c $的不同值确定紧凑型星的质量和半径。结果表明,当$ g_v $更大时,紧凑型恒星的最大质量将更大,因此,最大质量的配置半径将较小。还讨论了混合恒星稳定性的问题。结果表明,就此处检查的模型而言,对于矢量耦合常数的所有值,具有无限小夸克芯的混合恒星均稳定。将这些结果与脉冲星PSR J0030+0451和PSR J0740+6620的质量和半径进行比较,该结果与NASA的NASA Neutron Star Inter Entrior Coption Explorer(NOCER)X射线望远镜一起在国际空间站进行。理论结果与观察数据的比较并不能排除紧凑型恒星内部夸克脱糊化的可能性。

The properties of hadron-quark hybrid stars are studied when the quark phase is described in terms of a local SU(3) Nambu--Jona-Lasinio (NJL) model taking into account the contribution of the vector and axial-vector interaction between the quarks, and the hadronic phase, in the relativistic mean field (RMF) model. For different values of the vector coupling constant $G_V$, the equations of state of the quark matter are calculated and the parameters of the hadron-quark phase transition are determined under the assumption that the phase transition takes place in accordance with Maxwell's construction. It is shown that for a larger vector coupling constant, the equation of state of the quark matter will be "stiffer" and the coexistence pressure $P_0$ of the phases will be greater. Using the resulting hybrid equations of state, the TOV equations are integrated numerically and the mass and radius of the compact star are determined for different values of the central pressure $P_c$. It is shown that when $G_V$ is larger, the maximum mass of the compact star will be larger and thereby, the radius of the configuration with maximum mass will be smaller. Questions of the stability of hybrid stars are also discussed. It is shown that in terms of the model examined here, for all values of the vector coupling constant, a hybrid star with an infinitely small quark core is stable. These results are compared with recent measurements of the mass and radius of the pulsars PSR J0030+0451 and PSR J0740+6620, carried out at the International Space Station with the NASA's Neutron star Interior Composition Explorer (NICER) X-ray telescope. A comparison of the theoretical results with observational data does not exclude the possibility of quark deconfinement in the interiors of compact stars.

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