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arXiv 0802.3423astro-phgr-qcnucl-th
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静态和快速旋转致密星性质的相关性

Correlations in the properties of static and rapidly rotating compact stars

B. K. Agrawal, Raj Kumar, S. K. Dhiman

备注：
13 pages, 4 figures, Appearing in Phys. Rev. D
发表信息：
Phys.Rev.D77:087301,2008
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摘要：

利用大量的状态方程研究了静态致密星和观测到的最高旋转频率为1122 Hz的致密星性质的相关性。这些EOS跨越各种方法，它们的化学组成从核子到超子和夸克在$β$平衡。结果表明，静态CS的最大引力质量$M_{\rm max}^{\rm stat}$和半径$R_{1.4}^{\rm stat}$与1122 Hz旋转的CS的超质量或非超质量性质有很强的相关性.特别是，只有那些EOS产生的CS旋转在1122赫兹是非超大质量的$\left (\frac{M_{\rm max}^{\rm stat}}{M_\odot}\right )^{1/2} \left (\frac{10{\rm km}}{R_{1.4}^{\rm stat}})^{3/2} $大于1。本文提出了一种合适的参数形式，它可以用来把$M_{\rm max}^{\rm stat}$ $-$ $R_{1.4}^{\rm stat}$平面分裂成1122 Hz旋转的CS的不同超质量性质的区域。目前测量到的PSR J 0437 -4715的最大引力质量为1.76 $M_\odot$，这表明以1122 Hz旋转的CS可以是非超大质量的，只要它的$R_{1.4}^{\rm stat} \leqslant 12.4$为$R_{1.4}^{\rm stat} \leqslant 12.4$ km。

英文摘要：

Correlations in the properties of the static compact stars (CSs) and the ones rotating with the highest observed frequency of 1122Hz are studied using a large set of equations of state (EOSs). These EOSs span various approaches and their chemical composition vary from the nucleons to hyperons and quarks in $β$-equilibrium. It is found that the properties of static CS, like, the maximum gravitational mass $M_{\rm max}^{\rm stat}$ and radius $R_{1.4}^{\rm stat}$ corresponding to t he canonical mass and supramassive or non-supramassive nature of the CS rotating at 1122 Hz are strongly correlated. In particular, only those EOSs yield the CS rotating at 1122Hz to be non-supramassive for which $\left (\frac{M_{\rm max}^{\rm stat}}{M_\odot}\right )^{1/2} \left (\frac{10{\rm km}}{R_{1.4}^{\rm stat}})^{3/2} $ is greater than unity. Suitable parametric form which can be used to split the $M_{\rm max}^{\rm stat}$ $-$ $R_{1.4}^{\rm stat}$ plane into the regions of different supramassive nature of the CS rotating at 1122Hz is presented. Currently measured maximum gravitational mass 1.76$M_\odot$ of PSR J0437-4715 suggests that the CS rotating at 1122Hz can be non-supramassive provided $R_{1.4}^{\rm stat} \leqslant 12.4$ km.

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