用窄带引力波探测器确定中子星质量-半径关系
Determination of the neutron star mass-radii relation using narrow-band gravitational wave detector
摘要：
对引力波的直接探测将为许多天体提供有价值的天体物理信息。最有希望的引力波源是中子星和黑洞。这些物体发射的波具有由其准正常模式振荡确定的非常宽的频率谱。在这项工作中，我们关心的信息，我们可以从f和p $_I$-模式时，候选人离开其签名的共振质量检测器ALLEGRO，探索者，NAUTILUS，MiniGrail和SCHENBERG提取。使用经验方程，该关系的引力波的频率和阻尼时间的质量和半径的源，我们已经计算了恒星的半径为一个给定的质量间隔$M$的频率范围内，包括所有的共振质量探测器的带宽。有了这些值，我们得到了不同频率的质量半径图，可以考虑到源的紧凑性，确定未来检测的更好候选者。最后，为了确定在质量共振探测器的频率范围内发射引力波的致密星模型，我们比较了几种相对论强子状态方程（GM 1，GM 3，TM 1，NL 3）和夸克物质状态方程（NJL，MTI袋模型）中不同中子星序列的质量-半径图。我们验证了由MIT袋模型得到的袋常数为170 MeV的夸克星和色超导相物质的夸克是质量共振探测器的最佳候选者。
英文摘要：
The direct detection of gravitational waves will provide valuable astrophysical information about many celestial objects. The most promising sources of gravitational waves are neutron stars and black holes. These objects emit waves in a very wide spectrum of frequencies determined by their quasi-normal modes oscillations. In this work we are concerned with the information we can extract from f and p$_I$-modes when a candidate leaves its signature in the resonant mass detectors ALLEGRO, EXPLORER, NAUTILUS, MiniGrail and SCHENBERG. Using the empirical equations, that relate the gravitational wave frequency and damping time with the mass and radii of the source, we have calculated the radii of the stars for a given interval of masses $M$ in the range of frequencies that include the bandwidth of all resonant mass detectors. With these values we obtain diagrams of mass-radii for different frequencies that allowed to determine the better candidates to future detection taking in account the compactness of the source. Finally, to determine which are the models of compact stars that emit gravitational waves in the frequency band of the mass resonant detectors, we compare the mass-radii diagrams obtained by different neutron stars sequences from several relativistic hadronic equations of state (GM1, GM3, TM1, NL3) and quark matter equations of state (NJL, MTI bag model). We verify that quark stars obtained from MIT bag model with bag constant equal to 170 MeV and quark of matter in color-superconductivity phase are the best candidates for mass resonant detectors.
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