微黑洞蒸发中的自旋极化效应
Spin Polarization Effects in Micro Black Hole Evaporation
摘要:
我们考虑了高能粒子碰撞产生的旋转微黑洞的蒸发,考虑了由于发射粒子的自旋和黑洞的角动量之间的耦合而产生的极化。旋转效应在螺旋度相关的角分布中表现得很明显。通过利用这种效应,有可能确定每个形成的黑洞的旋转轴,这表明了一种改进统计的方法。偏离热谱也是旋转的标志。这种偏差是由于快速旋转的空穴具有显著高于霍金温度$T_H$的有效温度$T_{\rm eff}$。只有在非常快速旋转的情况下,谱形的变形才变得明显。我们表明,由于光谱遵循黑体轮廓与有效温度,它是很难确定额外的维度和旋转参数的数量从能量谱单独。我们认为,螺旋度依赖的角分布可能提供了一种方法来解决这种简并。我们用费米子的例子说明了上述结果。
英文摘要:
We consider the evaporation of rotating micro black holes produced in highly energetic particle collisions, taking into account the polarization due to the coupling between the spin of the emitted particles and the angular momentum of the black hole. The effect of rotation shows up in the helicity dependent angular distribution significantly. By using this effect, there is a possibility to determine the axis of rotation for each black hole formed, suggesting a way to improve the statistics. Deviation from thermal spectrum is also a signature of rotation. This deviation is due to the fact that rapidly rotating holes have an effective temperature $T_{\rm eff}$ significantly higher than the Hawking temperature $T_H$. The deformation of the spectral shape becomes evident only for very rapidly rotating cases. We show that, since the spectrum follows a blackbody profile with an effective temperature, it is difficult to determine both the number of extra-dimensions and the rotation parameter from the energy spectrum alone. We argue that the helicity dependent angular distribution may provide a way to resolve this degeneracy. We illustrate the above results for the case of fermions.
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