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arXiv 0709.0842hep-ph
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描述中性粒子Majorana性质的新方法

New approach to description of Majorana properties of neutral particles

Yu. V. Gaponov

摘要:

基于U(1)手征群和Pauli SU(2)群的Pauli变换,建立了描述中性粒子Majorana性质的两个混合粒子态和反粒子态的数学模型.第一个描述了一个系统,将左手和右手费米子的相同的味道,它是一个推广的马约拉纳模型,他的先驱文章的1937年。第二个模型描述了一个量子数为Zel'dovich-Konopinsky-Mahmoud(ZKM)型的双味中微子系统。对于无质量的费米子,泡利对称性是精确的,并导致了广义轻子荷。它是一个泡利等空间向量,其不同的方向与狄拉克或广义马约拉纳性质相协调。在非零质量情况下,模型描述了中性粒子的Dirac-Majorana组合性质,这些性质可以用ZKM型的广义轻子荷来表征,也可以用荷算符与手征性乘积的算符本征值来表征.后者与拉格朗日质量项的结构算符或第二模型的广义味数有关。基本算子的选择取决于粒子相对于空间反演的反演类(A-B或C-C型)。修正后的第二模型可以用来描述最简单的双味情况下的中微子振荡。

英文摘要:

Two mathematical models based on Pauli transformations including U(1) chiral group and Pauli SU(2) group, that mixes particle and antiparticle states, are developed for description of Majorana properties of neutral particles. The first one describes a system, incorporating left- and right-handed fermions of the same flavor, and it is a generalization of the Majorana model of his pioneer article of 1937 year. The second describes a two-flavor neutrino system with quantum numbers of Zel'dovich-Konopinsky-Mahmoud (ZKM) type. For massless fermions the Pauli symmetry is exact and leads to the coserved generalized lepton charge. It is a Pauli isospace vector, whose different directions are coordinated with Dirac or generalized Majorana properties. In nonzero-mass case the models describe the combined Dirac-Majorana properties of neutral particles, which are characterized either by the generalized lepton charges of ZKM-type or by the eigenvalues of the operator that is the product of the charge operator and chirality. The latter is connected with operator of the structure of Lagrangian mass term or with the generalized flavor number of the second model. The choice of the basic operator depends on the inversion classes (A-B or C-C - types) of the particles with respect to the space inversion. The modified second model can be used for description of neutrino oscillation in the simplest two-flavor case.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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