Abstract
The experimental study of the \ensuremath{\Delta}${\mathit{T}}_{\mathit{z}}$=+1 component of the isovector monopole resonance of $^{208}\mathrm{Pb}$ has revealed itself as an experimental puzzle. We present in this work a theoretical calculation of the strength distribution of this resonance and of its neutron decay properties, within the framework of a model in which random phase approximation states are coupled with continuum configurations and with a set of ``doorway states'' in order to describe the basic escape and damping mechanisms of the nuclear vibration. Our results are compared with existing measurements and with other theoretical analyses. \textcopyright{} 1996 The American Physical Society.
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