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arXiv 0904.4346hep-ph
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量子力学和量子场论中的穆斯堡尔中微子

Mossbauer neutrinos in quantum mechanics and quantum field theory

Joachim Kopp

备注：
LaTeX, 16 pages, 1 figure; v2: typos corrected; matches published version
发表信息：
JHEP 0906:049,2009
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摘要：

我们证明了穆斯堡尔中微子振荡的量子力学和量子场论描述之间的对应关系。首先，我们在量子场论中计算了穆斯堡尔中微子的发射、传播和探测的综合速率$Γ$，把中微子看作是树型费曼图的一条内线。我们明确地包括由于源和检测器晶体中的波动电磁场引起的均匀谱线加宽的效应，并表明所得到的$Γ$的公式与先前获得的公式相同（Akhmedov等人，arXiv：0802.2513）用于不均匀线加宽的情况。然后，我们进行了穆斯堡尔中微子的量子力学处理，并表明，振荡，相干性和共振项的场论结果可以再现，如果中微子被描述为一个叠加的洛伦兹形波包与适当选择的能量和宽度。另一方面，发射率和探测截面，包括局域化和兰姆穆斯堡尔项，不能在量子力学中预测，必须手工输入。

英文摘要：

We demonstrate the correspondence between quantum mechanical and quantum field theoretical descriptions of Mossbauer neutrino oscillations. First, we compute the combined rate $Γ$ of Mossbauer neutrino emission, propagation, and detection in quantum field theory, treating the neutrino as an internal line of a tree level Feynman diagram. We include explicitly the effect of homogeneous line broadening due to fluctuating electromagnetic fields in the source and detector crystals and show that the resulting formula for $Γ$ is identical to the one obtained previously (Akhmedov et al., arXiv:0802.2513) for the case of inhomogeneous line broadening. We then proceed to a quantum mechanical treatment of Mossbauer neutrinos and show that the oscillation, coherence, and resonance terms from the field theoretical result can be reproduced if the neutrino is described as a superposition of Lorentz-shaped wave packet with appropriately chosen energies and widths. On the other hand, the emission rate and the detection cross section, including localization and Lamb-Mossbauer terms, cannot be predicted in quantum mechanics and have to be put in by hand.

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