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arXiv 0708.2328hep-phhep-th
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物质和扭曲磁场中的中微子振荡

Neutrino oscillations in matter and in twisting magnetic fields

Maxim Dvornikov

摘要:

我们找到了具有磁矩的大质量中微子在背景物质中传播并与扭转磁场相互作用的狄拉克方程的解。在描述中微子演化的相对论性量子力学框架下,我们利用所得解导出了满足给定初始条件的中微子波函数。我们将所得结果应用于分析在扭转磁场影响下物质中中微子自旋的振荡。在此基础上,我们描述了具有非零磁矩矩阵的Dirac中微子的自旋味振荡。我们再次制定的初始条件问题,推导中微子波函数和计算不同的磁矩矩阵的跃迁几率。所得到的结果与量子力学处理的自旋味振荡的一致性进行了讨论。我们还考虑了中微子在天体物理学和宇宙学中的几个应用。

英文摘要:

We find the solution to the Dirac equation for a massive neutrino with a magnetic moment propagating in background matter and interacting with the twisting magnetic field. In frames of the relativistic quantum mechanics approach to the description of neutrino evolution we use the obtained solution to derive neutrino wave functions satisfying the given initial condition. We apply the results to the analysis of neutrino spin oscillations in matter under the influence of the twisting magnetic field. Then on the basis of the yielded results we describe spin-flavor oscillations of Dirac neutrinos that mix and have non-vanishing matrix of magnetic moments. We again formulate the initial condition problem, derive neutrinos wave functions and calculate the transition probabilities for different magnetic moments matrices. The consistency of the obtained results with the quantum mechanical treatment of spin-flavor oscillations is discussed. We also consider several applications to astrophysical and cosmological neutrinos.

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。

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