论文标题
非权利主义制度的手性振荡
Chiral oscillations in the non-relativistic regime
论文作者
论文摘要
巨大的狄拉克颗粒是左右手性成分的叠加。由于手性不是保守的数量，因此自由狄拉克·哈密顿的进化会引起手性量子振荡，这是一种与\ textit {zitterbewegung}相关的现象，这是自由传播颗粒的颤抖。虽然对相对论动力学状态中的颗粒无法观察到，但当粒子的休息能与其动量相媲美时，手性振荡就会变得相关。在本文中，我们量化了手性振荡对被描述为狄拉克·比斯皮诺（Dirac Bispinor）的粒子状态的非相关演变的影响，并专门描述了非偏移性中微子的手性和风味振荡之间的相互作用：我们计算到时间实用性的生存概率和量化量相比，我们计算了量化的量化量的量。在非权利主义制度中，由于手性振荡引起的这种耗竭可能大至40 $ \％$。最后，我们讨论了手性振荡在即将进行的实验中的相关性，这将探测宇宙中微子的背景。
Massive Dirac particles are a superposition of left and right chiral components. Since chirality is not a conserved quantity, the free Dirac Hamiltonian evolution induces chiral quantum oscillations, a phenomenon related to the \textit{Zitterbewegung}, the trembling motion of free propagating particles. While not observable for particles in relativistic dynamical regimes, chiral oscillations become relevant when the particle's rest energy is comparable to its momentum. In this paper, we quantify the effect of chiral oscillations on the non-relativistic evolution of a particle state described as a Dirac bispinor and specialize our results to describe the interplay between chiral and flavor oscillations of non-relativistic neutrinos: we compute the time-averaged survival probability and observe an energy-dependent depletion of the quantity when compared to the standard oscillation formula. In the non-relativistic regime, this depletion due to chiral oscillations can be as large as 40$\%$. Finally, we discuss the relevance of chiral oscillations in upcoming experiments which will probe the cosmic neutrino background.
