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Charged current

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Title: Charged current  
Author: World Heritage Encyclopedia
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Subject: Electroweak theory, Mikheyev–Smirnov–Wolfenstein effect, Gauss's law for magnetism, Ampère's force law, Electric current
Collection: Electroweak Theory
Publisher: World Heritage Encyclopedia

Charged current

The Charged current interaction is one of the ways in which subatomic particles can interact by means of the weak force. It is mediated by the W+ and W bosons.

The interaction is often incorrectly believed to be called 'charged' because the W bosons have electric charge. However, the charged current that gives the interaction its name is that of the interacting particles. For example, the charged-current contribution to the ν
e elastic scattering amplitude

\mathfrak{M}^{\mathrm{CC}} \propto J_{\mu}^{\mathrm{(CC)}}(\mathrm{e^{-}}\to\nu_{\mathrm{e}}) \; J^{\mathrm{(CC)}\mu}(\nu_{\mathrm{e}}\to\mathrm{e^{-}})

where the charged currents describing the flow of one fermion into the other are given by

J^{\mathrm{(CC)\mu}}(f\to f') = \bar{u}_{f'}\gamma^{\mu}\frac{1}{2}\left(1-\gamma^{5}\right)u_{f}.

See also

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