Consistent analytic approach to the efficiency of collisional Penrose process
Consistent analytic approach to the efficiency of collisional Penrose process
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DOI：
10.1103/physrevd.94.024038
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发表时间：
2016-06
影响因子：
5
通讯作者：
T. Harada;Kota Ogasawara;U. Miyamoto
中科院分区：
文献类型：
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作者：
T. Harada;Kota Ogasawara;U. Miyamoto
我们对最大旋转克尔黑洞附近的碰撞彭罗斯过程的效率提出了一个一致的解析方法。我们关注的是质心能量任意高的碰撞，如果碰撞的任何一个粒子的角动量微调到进入地平线的临界值，就会发生碰撞。结果表明，如果微调粒子进入碰撞，效率的上限为$(2+\Sqrt{3})(2-\Sqrt{2})\simeq 2.186$，而如果微调粒子在碰撞前被反弹，则效率上限为$(2+\Sqrt{3})^{2}\simeq13.93$。尽管早先有人声称，如果微调粒子质量很大并且在无穷远处静止，则前者可以用于逆康普顿散射，而后者可以用于各种粒子反应，例如逆康普顿散射和对湮灭，如果微调粒子在无穷远处是无质量或高度相对论的。我们讨论了现在的分析和以前的分析之间的区别。
We propose a consistent analytic approach to the efficiency of collisional Penrose process in the vicinity of a maximally rotating Kerr black hole. We focus on a collision with arbitrarily high center-of-mass energy, which occurs if either of the colliding particles has its angular momentum fine-tuned to the critical value to enter the horizon. We show that if the fine-tuned particle is ingoing on the collision, the upper limit of the efficiency is $(2+\sqrt{3})(2-\sqrt{2})\simeq 2.186$, while if the fine-tuned particle is bounced back before the collision, the upper limit is $(2+\sqrt{3})^{2}\simeq 13.93$. Despite earlier claims, the former can be attained for inverse Compton scattering if the fine-tuned particle is massive and starts at rest at infinity, while the latter can be attained for various particle reactions, such as inverse Compton scattering and pair annihilation, if the fine-tuned particle is either massless or highly relativistic at infinity. We discuss the difference between the present and earlier analyses.