如何构造更高自旋的自/反自电荷共轭态？
How to construct self/anti-self charge conjugate states for higher spins?
摘要：
在量子场论中，我们构造了Lorentz群的（1/2，0）+（0，1/2）表示的自/反自电荷共轭（Majorana类）态，以及它们在高自旋情况下的类似态.研究了类Dirac和类Majorana场算子的基旋转和相位选择问题。研究了离散对称性（P，C，T）.给出了相应的动力学方程。在（1/2，0）+（0，1/2）表示中，它们服从由Markov首先引入的具有八个分量的Dirac-like方程。因此，对应量子场的Fock空间加倍（如Ziino所示）。特别注意已经支付的问题的手征性和螺旋性（两个概念，这是经常混淆的文献中）的狄拉克和马约拉纳状态。我们进一步回顾了M.Kirchbach等人关于无中微子双β衰变和G. J. Ni等人关于介子寿命的工作所得出的几个实验结果。
英文摘要：
We construct self/anti-self charge conjugate (Majorana-like) states for the (1/2, 0)+(0, 1/2) representation of the Lorentz group, and their analogs for higher spins within the quantum field theory. The problem of the basis rotations and that of the selection of phases in the Dirac-like and Majorana-like field operators are considered. The discrete symmetries properties (P, C, T) are studied. The corresponding dynamical equations are presented. In the (1/2, 0)+(0, 1/2) representation they obey the Dirac-like equation with eight components, which has been first introduced by Markov. Thus, the Fock space for corresponding quantum fields is doubled (as shown by Ziino). The particular attention has been paid to the questions of chirality and helicity (two concepts which are frequently confused in the literature) for Dirac and Majorana states. We further review several experimental consequences which follow from the previous works of M.Kirchbach et al. on neutrinoless double beta decay, and G.J.Ni et al. on meson lifetimes.
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