Charged Weak Currents Research Articles

Pion production by fragmentation of weak currents in Weinberg theory

The Feynman quark parton model is used to study inclusive single-pion production by the fragmentation of the neutral and charged weak currents of Weinberg theory. The structure functions for the neutral current-induced reactions are related to those for the electromagnetic and charged weak current processes. Analogues of inclusive deep-inelastic sum rules are derived. The ratios of neutral current to charged current cross sections for semi-inclusive pion production are studied. In the approximation of neglect of “core” partons, these ratios are given in terms of average pion multiplicities in the charged current-induced reaction. We finally specialise to the quark parton distributions of McElhaney and Tuan to calculate these ratios as functions of the Weinberg angle.

Electromagnetic field in the gauge SU(3) × SU(3) chiral group

The massless electromagnetic Yang-Mills field is explicitly constructed as a linear combination E V 3 μ + ( 1 3 ) E V 8 μ of 16 gauge fields of the chiral SU(3) × SU(3) group within the framework of the plasmon generating mechanism [1]. The remaining 15 gauge fields acquire a mass through the non-zero vacuum expectation values of the auxiliary scalar multiplet which transforms according to the (8,8) representation of the gauge group. The tadpoles with non-zero hypercharge which are required for the existence of the only massless electromagnetic potential A μ are due to the natural mixing of charged weak currents with ΔS = 0 and ΔS = 1. The relevance of this phenomenon to the Cabibbo angle is briefly discussed. Also presented is a theorem concerning an admissible form of the zero-order mass term of gauge fields when the canonical number is unknown.

Higgs scalars in semileptonic processes

Interactions of Higgs scalars are discussed in a gauge theory of weak interactions. The construction of the mass matrix for fermions in vector-like theories similar to the gauge theory is also discussed, a few possible extensions of the gauge model to include hadrons and corrections to interactions of weak charged currents due to exchanges by Higgs S± -scalars. It was shown that due to these corrections apparent breaking of the Callen-Freiman relation for Ke3 form factors is possible, but the GoldbergerFreiman relation survives in its original form.

Search for Doubly Charged Weak Currents throughK+→π−e+μ+

We present results of a search for the decay mode ${K}^{+}\ensuremath{\rightarrow}{\ensuremath{\pi}}^{\ensuremath{-}}{e}^{+}{\ensuremath{\mu}}^{+}$ which requires doubly charged weak currents for its existence. Limits are also obtained on the branching ratios for the decay modes ${K}^{+}\ensuremath{\rightarrow}{\ensuremath{\pi}}^{+}{e}^{+}{\ensuremath{\mu}}^{\ensuremath{-}}$ and ${K}^{+}\ensuremath{\rightarrow}{\ensuremath{\pi}}^{+}{e}^{+}{e}^{\ensuremath{-}}$. We give a comparison of some present experimental limits on neutral and doubly charged weak currents.

The [formula omitted] rule in the three-triplet and paraquark models

It is possible to propose a charged weak interaction current which will generate a non-leptonic weak Hamiltonian satisfying the ΔI = 1 2 rule in the model of three triplets with integral charges, but not in the paraquark model.