How to construct self/anti-self charge conjugate states?

18th International Symposium on Particles Strings and Cosmology

Dvoeglazov, V.V.^1

UAF, Universidad de Zacatecas, Ap. Postal 636, Suc. 3 Cruces, Zacatecas 98068 Zac., Mexico^1

关键词: Charge conjugate;    Discrete symmetry;    Dynamical equation;    Eight component;    Field operators;    Meson lifetimes;    Neutrinoless double-beta decays;    Quantum field theory;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/485/1/012047/pdf
DOI  :  10.1088/1742-6596/485/1/012047

来源: IOP

【 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.