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arXiv 1608.01945astro-ph.HE
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用低频射电天线阵限制原始黑洞爆炸速率和额外维尺度

Constraining the Rate of Primordial Black-Hole Explosions and Extra Dimension Scale using a Low-Frequency Radio Antenna Array

Sean E. Cutchin, John H. Simonetti, Steven W. Ellingson, Amanda S. Larracuente, Michael J. Kavic

摘要:

一个爆炸的原始黑洞(PBH)可能会产生一个电磁辐射脉冲,在无线电频谱的低频端可以检测到。此外,PBH爆炸产生的无线电瞬变可能是额外空间维度的特征。本文介绍了一种利用低频无线电天线阵搜索PBH爆炸的方法,并作为一个实际例子,给出了利用8米波长瞬态天线阵(ETA)搜索PBH爆炸的结果。在$\approx 4$小时的数据中没有检测到令人信服的天体物理信号,这意味着对于佩奇和霍金的标准场景,对于火球洛伦兹因子为$10^{4.5}$的爆炸PBH,爆炸PBH速率的观测上限为$4.2 \times 10^{-7} \,\rm{pc}^{-3}\,\rm{yr}^{-1}$。这个速率限制是迄今为止对具有这种火球洛伦兹因子的PBH爆炸的最强约束。使用阿雷西博天文台的观测($\sim300$小时)被用来为$10^{4.6}$的火球洛伦兹因子设置一个更强的限制PBH爆炸的速率,但这些观测设置的限制为火球洛伦兹因子在这里考虑的是不那么严格的一个数量级以上。这里考虑的限制适用于爆炸PBH在星系晕。这些观察也意味着上限的$2.0 \times 10^{-4} \,\rm{pc}^{-3}\,\rm{yr}^{-1}$的PBH爆炸率的背景下,某些额外的维模型所描述的Kavic等人。这一速率限制是一个火球洛伦兹因子的$10^{4.3}$对应于额外的维度紧化尺度$3.0 \times 10^{-18}$ m。

英文摘要:

An exploding primordial black-hole (PBH) may produce a single pulse of electromagnetic radiation detectable at the low-frequency end of the radio spectrum. Furthermore, a radio transient from an exploding PBH could be a signature of an extra spatial dimension. We describe here an approach for searching for PBH explosions using a low-frequency radio antenna array, and as a practical example, the results of a such a search using the Eight-meter-wavelength Transient Array (ETA). No compelling astrophysical signal was detected in $\approx 4$ hours of data implying an observational upper limit on the rate of exploding PBHs is $4.2 \times 10^{-7} \,\rm{pc}^{-3}\,\rm{yr}^{-1}$ for an exploding PBH with a fireball Lorentz factor of $10^{4.5}$ for the standard scenario of Page and Hawking. This rate limit is the strongest constraint yet set for PBH explosions with this fireball Lorentz factor. Observations ($\sim300$ hours) using the Arecibo Observatory were used to set a stronger constraint on the rate of PBH explosions for a fireball Lorentz factor of $10^{4.6}$ but the limit set by those observations for the fireball Lorentz factor considered here are less stringent by more than an order of magnitude. The limits considered here are applicable to exploding PBHs in the halo of the Galaxy. These observations also imply an upper limit of $2.0 \times 10^{-4} \,\rm{pc}^{-3}\,\rm{yr}^{-1}$ on the rate of PBH explosions in the context of certain extra dimension models as described by Kavic et al. This rate limit is for a fireball Lorentz factor of $10^{4.3}$ which corresponds to an extra dimension compactification scale of $3.0 \times 10^{-18}$m.

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