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arXiv 0907.0562hep-phhep-exhep-thquant-ph
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两味中微子振荡中CP破坏的几何印记

Geometric imprint of CP violation in two flavor neutrino oscillations

Poonam Mehta

摘要:

在真空或等密度物质中,由于CP相可以被测量掉,两个味中微子振荡公式对CP破坏相的存在不敏感。与上述情况形成鲜明对比的是,我们表明,CP违反阶段不能被测量的存在下,伴随着不同的CP阶段的背景密度的变化。我们提出了一个纯粹的几何可视化这一事实,利用Pancharatnam的处方循环量子投影。因此,如果在密度变化的介质中发生CP破坏,则在Phys.Rev.D79,096013(2009)中获得的拓扑相位可以变为几何相位。

英文摘要:

In vacuum or constant density matter, the two flavor neutrino oscillation formulae are insensitive to the presence of CP violating phases owing to the fact that the CP phase can be gauged away. In sharp contrast to the above case, we show that the CP violating phases can not be gauged away in presence of adiabatically changing background density accompanied by varying CP phases. We present a pure geometric visualization of this fact by exploiting Pancharatnam's prescription of cyclic quantum projections. Consequently the topological phase obtained in Phys. Rev. D 79, 096013 (2009) can become geometric if CP violation occurs in a varying density medium.

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