Application of Fermion Quantum Number F and Unit Electroweak Charge F0 in the Electroweak Theory

Xin-Hua Ma

公開日: 2023/10/31

Abstract

In the previous work, the traditional flavor-related additive quantum numbers including the hypercharge Y, the isospin I, the isospin projection I3, and four flavor quantum numbers (S, C, B* and T) were substituted by the fermion quantum number F and the unit electroweak charge F0. The empirical selection rules in electroweak interaction were found that they can be interpreted by conservation of F. F and F0, same as the electric charge Q, are conserved in electromagnetic interaction, weak interaction and strong interaction. The relations between the new conservation laws and the internal symmetries are: Indistinguishability of the fermions results in F conservation, and indistinguishability of relative phases of wave functions of the fermions results in F0 conservation. The formula of relation between Q, F and F0 for all the fermions is more general than the Gell-Mann-Nishijima formula. In this paper, the weak isospin Iw3 and the weak hypercharge Yw in the electroweak theory are demonstrated to be equivalent to F/2 and F0 respectively. Therefore, we can unify the traditional flavor-related additive quantum numbers and the additive quantum numbers in the electroweak theory by using only two numbers: F and F0. Furthermore, Q and new defined neutral current weak charge QZ in electroweak interaction can be expressed by mixture of F and F0 via the Weinberg angle thetaW. In consequence, electroweak interaction is separated into two parts: one is neutral current electroweak interaction, including electromagnetic interaction and neutral current weak interaction, having no change of particle types with only exchange of the neutral bosons, determined by conservation of F and F0, and the other is charged current weak interaction which has change of particle types, i.e., decays and their equivalent reactions, determined by conservation of F.