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相互作用夸克星的引力波回波

Gravitational wave echoes from interacting quark stars

Chen Zhang

备注：
Published version. Typo corrected. Minor edits. 6 pages, 3 figures
发表信息：
Phys. Rev. D 104 (2021) no.8, 083032
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摘要：

我们发现，相互作用夸克星（IQSs）组成的相互作用夸克物质（IQM），包括强相互作用效应，如微扰QCD校正和色超导性，可以足够紧凑的功能是必不可少的引力波回波签名的光子球。我们利用一个IQM状态方程统一所有相互作用的阶段，通过一个简单的重新参数化和重新缩放，通过它，我们设法最大限度地减少到一个无量纲的参数$\barλ$，表征强相互作用效应的相对大小的自由度的数量。结果表明，在大的中心压力下，对于具有$\barλ\gtrsim10$的IQS，引力波回波是可能的。通过重新标度，我们说明了它在微扰QCD参数$a_4$和奇异夸克质量$m_s$的变化下，对有效袋常数$B_{\rm eff}$和超导能隙$Δ$的维数参数空间的影响.我们计算与IQSs相关的重新标度的GW回波频率$\bar{f}_\text{echo}$，从中我们获得在大$\barλ$限制下的最小回波频率$f_\text{echo}^{\rm min}\approx 5.76 {\sqrt{B_{\rm eff}/\text{(100 MeV)}^4}} \,\,\, \rm kHz$的简单标度关系。

英文摘要：

We show that interacting quark stars (IQSs) composed of interacting quark matter (IQM), including the strong interaction effects such as perturbative QCD corrections and color superconductivity, can be compact enough to feature a photon sphere that is essential to the signature of gravitational wave echoes. We utilize an IQM equation of state unifying all interacting phases by a simple reparametrization and rescaling, through which we manage to maximally reduce the number of degrees of freedom into one dimensionless parameter $\barλ$ that characterizes the relative size of strong interaction effects. It turns out that gravitational wave echoes are possible for IQSs with $\barλ\gtrsim10$ at large center pressure. Rescaling the dimension back, we illustrate its implication on the dimensional parameter space of effective bag constant $B_{\rm eff}$ and the superconducting gap $Δ$ with variations of the perturbative QCD parameter $a_4$ and the strange quark mass $m_s$. We calculate the rescaled GW echo frequencies $\bar{f}_\text{echo}$ associated with IQSs, from which we obtain a simple scaling relation for the minimal echo frequency $f_\text{echo}^{\rm min}\approx 5.76 {\sqrt{B_{\rm eff}/\text{(100 MeV)}^4}} \,\,\, \rm kHz$ at the large $\barλ$ limit.

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