Neutron Star Matter Including Delta Isobars

In this paper a new phase structure of neutron star matter including nucleons and delta isobars is presented. Particle fractions populated and pion condensations in neutron star matter are investigated in this model. The existence of the pion condensations can postpone the appearance of delta isobars. We found that both the pion condensation and reduce of the ratio of delta isobar to nucleons couplings can soften the corresponding equation of state. The maximum masses and their corresponding radii of neutron stars are calculated, and the obtained values are in observational region.     

密度相关的相对论平均场理论对核物质和中子星的描述

基于密度相关有效相互作用的相对论平均场理论,研究了核物质和中子星的性质.对核物质的饱和性质,密度相关的相互作用DD-ME1和TW-99给出了与NL1,NL3,NLSH,TM1基本一致的结果;NL2和TM2主要用于计算轻核,与它们的结果差别较大.对于中子星,在低密度区域,各种相互作用给出的介子势场差别不大;在高密度区域,相应的介子势场的差别随密度增加而增大.密度相关的相互作用DD-ME1和TW-99,与NL1,NL3和NLSH的结果相比,其物态方程明显偏软.相应的中子星的最大质量也不同,不同有效相互作用给出的最大质量为2.0—3.0M⊙,从大到小的顺序依次是NLSH?,NL3,NL1,DD-ME1,TW-99,TM1和GL-97,对应的半径为10—14km.     

中子星物质中的K介子凝聚

用密度相关的相对论平均场理论计算了中子星物质中的K介子凝聚,结果表明中子星物质发生K介子凝聚的临界密度约为2.75ρ₀.中子星物质URCA过程发生的临界密度在考虑DB核物质中核子自能动量修正时为ρρ0≈3.16,在不考虑DB核物质中核子自能动量修正时为ρρ0≈2.25,并进一步计算了密度相关的相对论平均场理论两种参数形式对中子星物质状态方程的影响.     

均匀强磁场中中子星物质的物态方程

在Walecka模型的平均场近似下,研究了由质子、中子和电子组成的中子星物质在均匀强磁场中的性质,发现磁场增强,物态方程会在一定程度上变硬,中子所占比例显著增加,质子和电子所占比例会显著减少,磁场对物态方程的影响比它对粒子组分的影响小.本文还分别利用流体力学公式和热力学公式分别计算了中子星物质的压强,发现磁场越强,用这两种方式计算的压强越接近,当磁场为10¹⁴T时,它们完全重合.     

超子中子星性质的温度效应

从相对论平均场理论出发,考虑核子、超子和介子的相互作用,研究了温度对中子星组成粒子、状态方程和中子星质量等的影响.发现温度越高,超子在中子星内部出现时的重子数密度越低.当密度较高时,中子星的核心区主要由超子组成,即中子星转变成以奇异粒子为主要成分的超子星,并且这种转变受到温度的影响,温度越高,转变密度越低.由于超子的出现,中子星核心高密度区域的状态方程,对于不同温度,差别不大,所以有限温度中子星的最大质量都在1.8M_⊙附近.这与观测结果相符.     

Relativistic Mean-Field Approach to Infinite Nuclear Matter and Neutron Star

The properties of infinite nuclear matter and neutron star are studied theoretically in relativistic mean-field (RMF) approach with three typical parameter sets NL1, NL-SH and TM1. It is found that all these new RMF parameter sets can very satisfactorily reproduce the properties of high density matter. Among these parameter sets, TM1, with a nonlinear ω term, reproduces a slightly smaller energy, piessure and neutron star mass than NL-SH and NL1. The ρ meson field has a large influence on the properties of neutron star and infinite nuclear matter. A detailed discussion for the significance of numerical results is also given.     

利用密度相关的相对论平均场理论对核物质与中子星的研究(英文)

研究和详细地比较了RMF理论中不同的有效相互作用强度的密度依赖性, 并且讨论了这种密度依赖性对于核物质和中子星性质的影响. 对于核物质, 不同的参数组给出的对称核物质的饱和点非常接近, 基本都在经验值的范围内. 对于中子星, 考虑超子后不同参数组给出的质量极限的范围为1.52—2.06 M☉, 半径为10.24—11.38 km.The density dependencies of various effective interaction strengths in the relativistic mean field and their influences on the properties of nuclear matter and neutron stars are studied and carefully compared. The differences of saturation properties given by various effective interactions are subtle in symmetric nuclear matter. The Oppenheimer Volkoff mass limits of neutron stars calculated from different equations of state are 1.52—2.06 M☉, and the radii are 10.24—11.38 km with hyperons included.     

The Properties of Pure Neutron Star

For a given equation of state of neutron matter in the relativistic σ-ω model, ๏๏๏๏๏ including the vacuum fluctuation of neutron and σ meson, the properties of pure neutron star are studied. We find that the maximum mass of pure neutron star is ～ 2.0 M_{\odot}. At the same time, the influence of incompressibility of the nuclear matter to the properties of neutron star is also studied. We also find that the maximum mass of neutron stars decreases as equation of state of neutron matter becomes softer.     

σ和φ介子对有限温度中子星物质的影响

考虑到σ*,φ介子的贡献及重子八重态{n,p,Λ,Σ^－,Σ⁰,Σ⁺,Ξ^－,Ξ⁰}, 采用相对论平均场方法,在5—25MeV的有限温度范围内, 对中子星物质的性质进行了研究. 发现当考虑到σ*,φ介子的贡献后, 超子出现的临界密度降低了(但对Λ超子, 影响并不显著), 超子的粒子数密度增加了, 在能量密度较高时物态方程变软, 中子星的最大质量变小而相应的半径增大, 中子星的中心粒子数密度、中心能量密度和中心压强都降低了. 当温度为较低的T=5MeV, 10MeV时, σ*,φ介子的参与使出现Σ⁰,Ξ⁰,Σ⁺超子的临界密度极大地降低了; 但当温度为较高的T=15MeV, 20MeV, 25MeV时, 影响则较小. 对于Λ,Σ^－,Ξ^－超子来说, 在上述所有温度下, σ*,φ介子对超子出现的临界密度的影响都不明显.     

利用非对称核物质状态方程对中子星的质量和半径的研究

在温度、密度及同位旋相关的核物质状态方程的基础上,通过求解Tol-man-Oppenheimer?Volkoff方程得到了中子星的质量与中心密度的关系,发现随着中心密度的变化,中子星存在一个最大质量.同时计算结果表明,中子星的最大质量与核物质状态方程的不可压缩系数、有效质量及对称能强度系数等密切相关.对中子星半径的研究表明,较硬的核物质状态方程给出的中子星半径较大,而且较大的对称能强度系数和较大的核子有效质量也会给出较大的中子星半径.     

Equation of State of Hot Neutrino Opaque Interior Matter of Neutron Star

The equation of state of hot neutrino opaque interior matter of the neutron star and some of its properties such as the free energy, effective mass, adiabatic index, and temperature are calculated along both isothermal and isentropic paths with the AV ₁₈ and AV ₁₄ potentials using the lowest order constrained variational method. We have shown that the calculated equation of state with the AV ₁₈ potential is harder than with the AV ₁₄ potential. It is found that there is no phase transition in the hot neutrino opaque interior matter of the neutron star. We have shown that for all values of density and entropy, the adiabatic index of neutron star matter is greater than . It is shown that our calculated equations of state obey the causality condition.     

中子星物质中的K介子凝聚与三体核力效应

利用Brueckner-Hartree-Fock方法，计算了β稳定中子星物质的状态方程以及三体核力的影响，特别是研究了三体核力对中子星物质中K介子凝聚的影响. 结果表明三体核力对β稳定中子星物质中出现K介子凝聚的临界密度以及中子星物质中各种粒子所占的比例均有重要影响. 三体核力的主要作用是降低了中子星物质中出现K介子凝聚的临界密度并使K凝聚相中的核物质更加接近于对称核物质.     

致密物质性质和适用于超新星及中子星研究的状态方程(英文)

采用相对论平均场方法研究了致密物质的性质, 构造了包括较宽温度、 同位旋不对称度和密度范围的适用于超新星模拟研究的状态方程, 均匀物质由相对论平均场理论描述, 非均匀物质由托马斯 费米近似给出。讨论了包含超子自由度的中子星物质的状态方程。 计算结果表明, 包含超子可以有效地软化高密度区的状态方程, Λ超子的超流态有可能存在于大质量中子星内部。The properties of dense matter are studied within the relativistic mean field theory. The equation of state (EOS) of dense matter are constructed covering a wide range of temperature, proton fraction, and density for the use of supernova simulations. The relativistic mean field theory is employed to describe the uniform matter, while the Thomas Fermi approximation is adopted to describe the non uniform matter. The EOS of neutron star matter is discussed with the inclusion of hyperons. It is found that the EOS at high density can be significantly softened by the inclusion of hyperons. The 1S₀ superfluidity of Λ hyperons may exist in massive neutron stars.     

低密度物态方程对中子星性质的影响

利用相对论平均场理论描述中子星的液体区域，Fermi气体模型或者FMT，BPS,和BBP模型描述中子星外壳，分别称为Fermi gas+RMF和RMF*，计算了中子星性质并且和相对论平均场理论给出的结果进行比较. 虽然低密度物态方程对中子星最大质量、中心密度、能量密度和压强的影响很小，但是它对中子星的质量半径关系改变很大. 对应中子星的最大质量，RMF和RMF*之间的半径差别为0.23-0.33km.     

中子皮厚度与中子星半径

在相对论平均场理论框架下在拉氏量密度中引入同位旋相关的高阶修正项, 研究了中子皮厚度和中子星半径的关系. 利用有效相互作用PK1得到208Pb的中子皮厚度最小可达0.17 fm, 这与近期Skyrme HF模型得到的结果一致. 随着同位旋相关的高阶修正项系数的变化, 208Pb的中子皮厚度和中子星半径的变化趋势相同. By adding isospin dependent high order correction ferms to existing relativistic mean field models．tlle thickness of neuron．skin in 208Pb and the radius of 1.4 solar mass neutron star are studied．The effecfive interaction PK1 would lead the thickness of neutron-skin to a minimum of 0.17 fm which agrees with the analysis from Skyrme‘HF models． The coupling constants of the isospin dependent high order corection terms tend to change，the thickness of neutron-skin and the radius of neutron stars chan ge simultaneously.     

Effect of Mesons f0(975) and $\phi(1020)$ and Variety of $U_\Xi^{(N)}$ on Properties of Neutron Star Matter

We examine the effect of adding mesons f₀(975) and $\phi(1020)$ as well as the variety of $U_\Xi^{(N)}$ (the potential well depth of $\Xi$ in nuclear matter) from -10 MeV to -28 MeV on the extent of the particles participation and the properties of the neutron star in the relativistic mean field model. We find that considering the contribution of f₀ and $\phi$ mesons, the equation of state of the neutron star turns soft, the maximum mass reduces while the corresponding radius increases. $\Xi^-$ hyperons appear at lower density as $U_\Xi^{(N)}$ becomes deeper, and the variety of $U_\Xi^{(N)}$ has little effect on the equation of state and the properties of the neutron star.     

Influence of Interactions on Populations for Hyperons in Neutron Stars

The numerical results of the populations for the baryon octet in neutron star matter have been presented by solving a set transcendental equations in the framework of the relativistic mean field approximation. The influence of the hyperon interactions on hyperon populations in neutron star matter is discussed. The results manifest that when the ratio of the hyperon-to-nucleon couplings increases, all hyperons appear towards low baryon density direction.     

局域物态方程对中子星整体性质的影响

由于高密非对称核物质核核相互作用的复杂性,使得目前人们对高密非对称核物质的物态方程的认识还存在很大的不确定性。利用逐段修改物态方程的方法,探究了不同密度段物态方程对中子星整体性质的影响,尤其是对典型中子星（1.4 M_⊙）半径及最大质量的影响。研究进一步证实了在2倍饱和核密度附近的物态方程对典型质量中子星的半径有显著影响。还进一步分析了中子星的质量半径关系曲线特征及其斜率（dM/dR）对物态方程的依赖性,发现dM/dR主要由饱和核密度以上的中子星物质的物态方程决定。探索不同密度段物态方程对中子星整体性质的影响以及探索dM/dR对物态方程的依赖性,主要是为将来利用中子星的天文观测来反向约束致密物质的物态方程提供理论参考。Because of the complicacy of the interaction between the nucleon-nucleon for high density matters, up to now the equation of state (EOS) of the unsymmetrical high-density nuclear matter is still uncertain. In order to investigate the imprint on the global properties by some special part of the EOS, we designedly modify part of the EOS and explore the corresponding effect on the stellar properties, especially on the radius of the typical neutron star (1.4 M_⊙) and the maximum stellar mass of the neutron star sequence for a given EOS. It is further proved by our calculation that the EOS around 2 times of the saturation nuclear density has an obvious imprint on the stellar radius of a typical neutron star. In addition, we also investigate the dependence of the mass-radius curve and its slope (dM/dR) on the EOS. It is found that the slope (dM/dR) is mainly determined by the EOS above the saturation nuclear density. In fact, the investigations above will provide some useful theoretical reference. This is expected to conversely constrain the EOS of dense matter by using the future astronomic observation data of neutron star.     

f0(975)和φ(1020)介子对中子星物质的影响

利用相对论平均场理论,考虑了σ*,φ介子及重子八重态{N,P,A,∑-,∑0,∑ ,(I)-,(I)0},研究了中子星的性质.发现当考虑了σ*,φ介子的贡献时,超子出现的临界重子数密度降低了,超子数目增加了,超子星的转变密度ρ0H降低了,物态方程变软,最大质量变小而相应的中子星半径增大,中子星的中心重子数密度、中心能量密度和中心压强均降低.     

Deconfinement Phase Transition Including Perturbative QCD Corrections in （Proto）neutron Star Matter

Deconlinement phase transition and neutrino trapping in （proto）neutron star matter are investigated in a chiral hadronic model （also referred to as the FST model） for the hadronic phase （HP） and in the color-flavor-locked （CFL） quark model for the deconlined quark phase. We include a perturbative QCD correction parameter αs in the CFL quark matter equation of states. It is shown that the CFL quark core with K^0 condensation forms in neutron star matter with the large value of αs. If the small value of αs is taken, hyperons suppress the CFL quark phase and the liP is dominant in the high-density region of （proto）neutron star matter. Neutrino trapping makes the fraction of the CFL quark matter decrease compared with those without neutrino trapping. Moreover, increasing the QCD correction parameter as or decreasing the bag constant B and the strange quark mass ms can make the fraction of the CFL quark matter increase, simultaneously, the fraction of neutrino in protoneutron star matter increases, too. The maximum masses and the corresponding radii of （proto）neutron stars are not sensitive to the QCD correction parameter αs.