论文标题
保形耦合模型中真空中的平面波和波袋中微子风味振荡
Plane-wave and wavepacket neutrino flavor oscillations in vacuum in conformal coupling models
论文作者
论文摘要
我们研究了一般的保形耦合模型中真空中的中微子风味振荡。我们首先检查了中微子的平面波描述中的风味振荡，然后将分析扩展到基于波袋的形式主义。在这两种情况下，我们都会在任意静态和球形对称的空间中得出一般公式的风味过渡概率。在这两种情况下，我们都彻底讨论和评估了计算风味过渡概率的不同可能的方式（由共形耦合的存在决定）。我们表明，狄拉克方程的保形不变性意味着共形耦合对中微子风味振荡的影响改变了振荡的长度，但保留了连贯的长度和单位性。然后对两种培养基中微子进行详细应用，并在众所周知的变色龙保形耦合模型中进行数值分析。
We investigate neutrino flavor oscillations in vacuum within a general conformal coupling model. We first examine the flavor oscillations within the plane-wave description of neutrinos, and then we extend our analysis to the wavepacket-based formalism. In both cases, we derive the general formulas for the flavor transition probability in arbitrary static and spherically symmetric spacetimes. We thoroughly discuss and assess in both cases the different possible ways -- dictated by the presence of the conformal coupling -- of computing the flavor transition probability. We show that the conformal invariance of the Dirac equation implies that the effect of conformal coupling on neutrino flavor oscillations modifies the oscillation length, but preserves the coherence length and unitarity. A detailed application to two-flavor neutrinos is then made and a numerical analysis is conducted within the well-known chameleon conformal coupling model.
