论文标题
中微子本征态和风味，恒定磁场中的自旋和自旋流动性振荡
Neutrino eigenstates and flavour, spin and spin-flavour oscillations in a constant magnetic field
论文作者
论文摘要
我们在\ cite {popov：2019nkr}中引入的磁场中中微子振荡问题开发了一种方法，并将其扩展到三个中微子世代的情况。提供了适合计算磁场中狄拉克中微子自旋，风味和自旋流动性渗出概率的理论框架。结果表明，中微子风味和自旋振荡之间存在纠缠，在一般情况下，不可能分别考虑这两种类型的中微子振荡。对于正常和倒立的层次结构以及CP违规的可能影响，获得了振荡概率的封闭分析表达式。特别是，结果表明，不改变中微子风味的转化率的概率，即$ν_e^l \rightArrowν_e^l $和$ν_e^l \rightArrowν_e^r $，不显示CP阶段的依赖，而其他中性群体则受CP阶段的影响。通常，中微子振荡概率在磁性$μ_νB$和真空频率上表现出相当复杂的振荡相互作用。所获得的结果在极端天体物理环境的影响下（例如磁铁和超新星特有的以及研究星际磁场中的中微子繁殖）的影响中对中微子振荡的应用引起了人们的关注。
We develop the approach to the problem of neutrino oscillations in a magnetic field introduced in \cite{Popov:2019nkr} and extend it to the case of three neutrino generations. The theoretical framework suitable for computation of the Dirac neutrino spin, flavour and spin-flavour oscillations probabilities in a magnetic field is given. It is shown that there is an entanglement between neutrino flavour and spin oscillations and in the general case it is not possible to consider these two types of neutrino oscillations separately. The closed analytic expressions for the probabilities of oscillations are obtained accounting for the normal and inverted hierarchies and the possible effect of CP violation. In particular, it is shown that the probabilities of the conversions without neutrino flavor change, i.e. $ν_e^L \rightarrow ν_e^L$ and $ν_e^L \rightarrow ν_e^R$, do not exhibit the dependence on the CP phase, while the other neutrino conversions are affected by the CP phase. In general, the neutrino oscillation probabilities exhibit quite a complicated interplay of oscillations on the magnetic $μ_ν B$ and vacuum frequencies. The obtained results are of interest in applications to neutrino oscillations under the influence of extreme astrophysical environments, for example peculiar to magnetars and supernovas, as well as in studying neutrino propagation in interstellar magnetic fields.
