Abstract

Mesonic second-class currents have been studied in semileptonic $\ensuremath{\Delta}S=0$ transitions. The closed-loop diagram is finite for the $\ensuremath{\pi}\ensuremath{\omega}$ current, and its energy-dependent lepton part is dominant over the contributions from the two-body exchange diagram. The two-body exchange diagram has energy-dependent and energy-independent lepton parts, which are of comparable magnitude for the $A=12$ triplet. A general form of the mesonic current has also been considered. A general theory of second-class effects, including both mesonic currents and the induced-tensor term for $\mathrm{ft}$ values and $\frac{K}{{\ensuremath{\beta}}^{+}}$ ratios, has been discussed.

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