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arXiv 1603.03427astro-ph.HEnucl-th
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具有特殊EoS的超致密热致密体的球形位形

Spherical configuration of a super-dense hot compact object with particular EoS

E. P. Tito, V. I. Pavlov

摘要:

状态方程(EoS)$P = P (ρ, ...)$ --压力作为密度和其他物理量的函数--是产生超致密致密恒星体(宇宙灾难的残余物)质量半径分布$M (R)$特殊性的原因。根据最近的核实验,我们提出了一种特殊的EoS,它允许以密度$ρ_c$和温度$T_c$为特征的临界态,并在一定条件下允许超致密物质在“液相”中径向分布。我们建立这样的条件,并证明了一个稳定的配置确实是可能的(仅)小于临界温度。本文利用流体静力平衡的Tolman-Oppenheimer-Schmidoff方程,导出了质量小于太阳的超致密致密天体$M \ll M_{\odot}$的质量-半径关系。所得结果在重离子碰撞实验和丰中子物质理论研究的范围内。

英文摘要:

The equation of state (EoS) $P = P (ρ, ...)$ -- pressure as a function of density and other thermodynamical quantities -- is what generates particularities of mass--radius distribution $M (R)$ for super--dense compact stellar bodies, the remnants of cosmic cataclysms. In view of recent nuclear experiments, we propose one particular EoS, which admits the critical state characterized by density $ρ_c$ and temperature $T_c$, and which under certain conditions permits a radial distribution of the super--dense matter in "liquid" phase. We establish such conditions and demonstrate that a stable configuration is indeed possible (only) for temperatures smaller than the critical one. Using Tolman--Oppenheimer--Volkoff equations for hydrostatic equilibrium, we derive the mass--radius relation for the super--dense compact objects with masses smaller than the Sun, $M \ll M_{\odot}$. The obtained results are within the constraints established by both heavy--ion collision experiments and theoretical studies of neutron--rich matter.

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