Spreading widths for superdeformed states in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msup><mml:mrow/><mml:mrow><mml:mn>194</mml:mn></mml:mrow></mml:msup></mml:mrow><mml:mi mathvariant="normal">Hg</mml:mi></mml:math>and<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msup><mml:mrow/><mml:mrow><mml:mn>194</mml:mn></mml:mrow></mml:msup></mml:mrow><mml:mi mathvariant="normal">Pb</mml:mi></mml:math>

Using several theoretical models, we have obtained estimates for the spreading widths ${\ensuremath{\Gamma}}^{\ensuremath{\downarrow}}$ for the decay out of a superdeformed (SD) band. We pay particular attention to the statistical model by Gu and Weidenm\"uller. Our results for ${}^{194}\mathrm{Hg}$ and ${}^{194}\mathrm{Pb}$ are compared to other theoretical predictions and to experimental upperbounds for ${\ensuremath{\Gamma}}^{\ensuremath{\downarrow}}.$ We find that the models of Gu and Weidenm\"uller and of Vigezzi et al. yield a consistent description of the data. We relate ${\ensuremath{\Gamma}}^{\ensuremath{\downarrow}}$ to the strength $v$ of the interaction that couples the normally deformed levels to the SD level at which the decay out of the SD band occurs. Using an exponential spin dependence of $v,$ we are able to reproduce the intraband intensities in the SD bands in ${}^{194}\mathrm{Hg}$ and ${}^{194}\mathrm{Pb}.$

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