arXiv 1401.67472014-01hep-ph

无外波包的中微子振荡的量子场论模型

A quantum field theoretical model of neutrino oscillation without external wave packets

Z. Y. Law, A. H. Chan, C. H. Oh

备注：: 32 pages, 10 figures

摘要：

基于中微子产生和探测过程的量子场论描述，我们建立了一个普遍的、自洽的中微子振荡模型。重点放在这些过程的相互作用的局部性，在通常的应用程序的四个费米子局部哈密顿量，我们假设，弱相互作用只打开时，所涉及的粒子的波函数是重叠和关闭时，他们的分离。在我们的处理中的一个关键假设是，粒子的波包的大小，特别是，中微子产生源粒子和中微子吸收检测器粒子，被认为是可以忽略不计相比，它们在各自的介质中的平均自由程。在此假设下，考虑到中微子产生的时间有限，我们得到了边缘清晰的中微子波包。这一事实，加上弱相互作用的局部性，使我们能够将传播时间与传播距离联系起来，从而避免了通常在推导中微子振荡公式时采用的特别的时间平均程序。不需要对粒子波函数的特殊形式作任何假设，例如高斯函数。我们的方法的一个很好的特点是，中微子振荡公式是自动正常化的，如果生产和检测过程中正在进行的状态是正常化。我们还表明，因果关系和幺正性不能同时满足虚拟中微子模型。

英文摘要：

We develop a general and consistent model of neutrino oscillation based on the quantum field theoretical description of the neutrino production and detection processes. Emphasis is placed on the locality of the interactions of these processes, where on top of the usual application of the four fermion local Hamiltonian, we assume that weak interactions switched on only when the wave functions of the particles involved are overlapping and switched off upon their separation. A key assumption in our treatment is that the wave packet sizes of the particles, in particular, the neutrino producing source particles and the neutrino absorbing detector particles, are taken to be negligible compared with their mean free path in their respective medium. With this assumption, and taking into considerations of the finite time of neutrino production, neutrino wave packets with well-defined edges are generated. This fact, together with the locality of weak interactions, enable us to relate the propagation time to the propagation distance, thus doing away with the ad hoc time averaging procedure normally employing in derivations of neutrino oscillation formula. No assumptions on the particular forms of particle wave functions; for example, Gaussians, need to be made. A good feature of our approach is that the neutrino oscillation formula is automatically normalised if the in-going states of the production and detection processes are normalised. We also show that causality and unitarity cannot both be satisfied in virtual neutrino models.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

摘要：

英文摘要：

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