色超导相下旋转中子星质量半径关系与一味色超导相变潜热计算

发布时间：2018-01-06 02:35

本文关键词：色超导相下旋转中子星质量半径关系与一味色超导相变潜热计算　出处：《华中师范大学》2010年硕士论文　论文类型：学位论文

【摘要】：人们所熟知的核子中被证实还存在着夸克。作为费米子,高密下的夸克可以像电子一样配对产生色超导,中子星由致密的核物质组成,有学者认为色超导在中子星中存在。基于以上物理背景,本论文主要讨论两个内容：色超导相以及旋转频率对中子星质量半径关系的影响；一味色超导相变潜热的分析和计算。我们通过给定各种状态方程来研究中子星质量半径关系。首先得到了不同色超导相下的状态方程,接着给定能隙△后对状态方程做了比较,采用TOV方程的微扰法,分析不同色超导相下以及星体旋转快慢对质量半径关系的影响。然后考虑能隙对化学势的依赖关系,对状态方程和质量半径关系做了再次分析。我们发现：不同的状态方程,给出有差别的中子星的质量半径关系,同时旋转频率越大,同种色超导相下均给出质量更大。论文第二个工作是研究四种一味色超导相：CSL, Polar, Planar, A-phase,分析它们在强磁场中发生一级相变的潜热,基于参数法首先求出熵的表达式随后给出了熵和潜热的数值结果。潜热势必会影响到中子星的热演化,这个影响将在后续工作进行讨论。最后对论文所研究的内容进行小结和展望,附录是对调研中子星时计算传播子的总结。
[Abstract]:It was confirmed that the well-known nucleons are composed of quarks. As fermions, high density quarks like electrons can produce color superconducting pairing, the neutron star by dense nuclear matter, some scholars believe that exist in neutron stars. Based on the above background color superconducting physics, this paper focuses on two aspects: color the superconducting phase and the rotating frequency of the neutron star mass radius relation; analysis and calculation of a color superconductivity phase change latent heat.
We are given by the state equations of the neutron star mass radius relations. State equations are firstly obtained under different color superconducting phases, and then given the energy gap of delta state equation were compared, perturbation method using TOV equation, analysis of different color superconducting phases and the rotating speed of the star effect of mass radius relations then consider the chemical potential dependence of the gap, the equation of state and the mass radius relation was analysed again. We found that the equation of state and the mass radius relation of the neutron star will give different, the greater the rotation frequency, under each kind of color superconductivity gives greater quality.
The second work is a study of four kinds of color superconductivity phase: CSL, Polar, Planar, A-phase, analysis of their latent heat phase transition in a strong magnetic field, parameter method first computes the entropy expression then numerical results were proposed based on the entropy and latent heat. The latent heat is bound affect the thermal evolution of neutron stars the effect of this will be discussed in subsequent work.
Finally, the contents of the paper are summarized and prospected, and the appendix is a summary of the calculation propagator of the neutron star.

【学位授予单位】：华中师范大学
【学位级别】：硕士
【学位授予年份】：2010
【分类号】：P145.6

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