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arXiv 1801.06138astro-ph.COhep-ph
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具有精确QCD状态方程的原初黑洞

Primordial black holes with an accurate QCD equation of state

Christian T. Byrnes, Mark Hindmarsh, Sam Young, Michael R. S. Hawkins

摘要:

利用量子色动力学(QCD)相变过程中标准模型热力学的新格点计算方法,计算了原初黑洞(PBH)由于状态方程软化而引起的质量分布增强.我们发现,增强峰约$0.7M_\odot$,与形成率增加了至少两个数量级,由于软化的状态方程在这个时候,与范围约为$0.3M_\odot<M<1.4M_\odot$在全宽半最大。对于质量范围很大的PBH,PBH的形成增加了较小的量,$10^{-3}M_\odot<M_{\rm PBH}<10^{3}M_\odot$,其中包括LIGO检测到的BH的质量。在PBH形成的数量的不确定性的最重要的来源是由于在形成过程中的未知数,而不是从相变。一个近尺度不变的密度功率谱调整,以产生一个人口的质量和合并率与LIGO检测到的一致,也应该产生一个更大的能量密度的PBH与太阳质量。如果黑洞的质量低于哈雷斯卡尔的极限,那么它的存在就是一个原始起源的确凿证据,而且它们可以说构成了冷暗物质密度的很大一部分。它们也对暴胀模型的建立提出了挑战,该模型试图在不过度产生较轻PBH的情况下产生LIGO BH。

英文摘要:

Making use of definitive new lattice computations of the Standard Model thermodynamics during the quantum chromodynamic (QCD) phase transition, we calculate the enhancement in the mass distribution of primordial black holes (PBHs) due to the softening of the equation of state. We find that the enhancement peaks at approximately $0.7M_\odot$, with the formation rate increasing by at least two orders of magnitude due to the softening of the equation of state at this time, with a range of approximately $0.3M_\odot<M<1.4M_\odot$ at full width half-maximum. PBH formation is increased by a smaller amount for PBHs with masses spanning a large range, $10^{-3}M_\odot<M_{\rm PBH}<10^{3}M_\odot$, which includes the masses of the BHs that LIGO detected. The most significant source of uncertainty in the number of PBHs formed is now due to unknowns in the formation process, rather than from the phase transition. A near scale-invariant density power spectrum tuned to generate a population with mass and merger rate consistent with that detected by LIGO should also produce a much larger energy density of PBHs with solar mass. The existence of BHs below the Chandresekhar mass limit would be a smoking gun for a primordial origin and they could arguably constitute a significant fraction of the cold dark matter density. They also pose a challenge to inflationary model building which seek to produce the LIGO BHs without overproducing lighter PBHs.

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