从量子杨-巴克斯特方程视角看中微子振荡
Neutrino oscillations from the perspective of the quantum Yang-Baxter equations
AI总结：
本文利用量子杨-巴克斯特方程描述中微子味振荡的三条可能路径，定义相应跃迁概率矩阵，并在三角表述框架下估计三个中微子质量本征值。
摘要：
中微子质量的起源是现代物理学中最大的谜团之一，因为它们超出了标准模型的范畴。作为有质量粒子，中微子在传播过程中会发生味振荡。在本文中，我们证明当中微子从味态 α 振荡到味态 β 时，它遵循与量子杨-巴克斯特方程一致的三条可能路径。这些轨迹定义了振荡的跃迁概率。此外，我们定义了一个与量子杨-巴克斯特方程一致的味跃迁概率矩阵，并在三角表述框架内估计了三个中微子质量本征值的数值。
英文摘要：
The origins of neutrino masses is one of the biggest mysteries in modern physics since they are beyond the realm of the Standard Model. As massive particles, neutrinos undergo flavor oscillations throughout their propagation. In this paper we show that when a neutrino oscillates from a flavor state α to a flavor state \b{eta}, it follows three possible paths consistent with the Quantum Yang- Baxter Equations. These trajectories define the transition probabilities of the oscillations. Moreover, we define a probability matrix for flavor transitions consistent with the Quantum Yang-Baxter Equations, and estimate the values of the three neutrino mass eigenvalues within the framework of the triangular formulation.
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