论文标题
具有全球和局部有效性的中微子框架中1-2交换对称性的比较研究
Comparative study of the 1-2 exchange symmetries in neutrino frameworks with global and local validities
论文作者
论文摘要
最近提出了一幅新的图片``单谐 - 单对称''，以揭示中微子振荡在物质及其居住地的对称性的性质：$ i \ leftrightArrow j $ state-extexchange类型的对称性，与$ I $ $ $ $ $和$ j $的共同级别相交，该级别的参与者是该级别的参与。一致地，在太阳和大气共振周围分别在局部播种框架中分别确定了1-2和1-3的状态交换对称性。另一方面，丹顿{\ it等}（dmp）扰动理论是一种全球播种框架，具有1-2的交换对称性，类似于上述太阳能振动扰动（SRP）理论中的太阳能振荡。在我们的图片中，对称性必须与共振而不是框架相关联，如果是这样，则这两个1-2对称性必须相同。我们对SRP和DMP拥有的1-2对称性进行了比较研究，以确认其身份。几乎是身份的验证，但以高度不平凡的方式进行了验证。
A new picture ``one-resonance - one-symmetry'' has been proposed recently to reveal nature of the reparametrization symmetry in neutrino oscillation in matter and where it resides: Symmetry of $i \leftrightarrow j$ state-exchange type exists at around a resonance with $i$ and $j$ being the states which participate in the level crossing. Consistently, the 1-2 and 1-3 state exchange symmetries are identified at around the solar and atmospheric resonances, respectively, in the locally-valid frameworks. On the other hand, the Denton {\it et al.} (DMP) perturbation theory, a globally-valid framework, has the 1-2 exchange symmetry which is akin to the one in the aforementioned solar-resonance perturbation (SRP) theory. In our picture, the symmetry must be associated with the resonance, not the framework, and if so these two 1-2 symmetries must be identical to each other. We conduct a comparative study of the 1-2 symmetries possessed by SRP and DMP to confirm their identity. An almost identity is verified, but in a highly nontrivial way.
