Abstract
The effect of two-particle--two-hole ground-state correlations on spin-dipole transitions and the similar first-forbidden \ensuremath{\beta}-decay transitions is studied for nuclei in the lead region with realistic shell-model interactions. Transitions are considered between states for which one is a particle-hole excitation of the other. It is found that the tensor component of the residual interaction is quite important for the ${0}^{\mathrm{\ensuremath{-}}}$ and ${1}^{\mathrm{\ensuremath{-}}}$ spin-dipole transitions and the analogous \ensuremath{\beta}-decay matrix elements. It is destructive for ${0}^{\mathrm{\ensuremath{-}}}$ and constructive for ${1}^{\mathrm{\ensuremath{-}}}$ so that the quenching of the two modes is quite different. The atypical 1${\mathit{g}}_{9/2}$\ensuremath{\rightarrow}0${\mathit{h}}_{9/2}$ transition is described. The results are compared to previous determinations.
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