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The particle-hole dispersive optical model, developed recently, is applied todescribe properties of high-energy isoscalar monopole excitations inmedium-heavy mass spherical nuclei. We consider, in particular, the doubletransition density averaged over the energy of the isoscalar monopoleexcitations in $^{208}$Pb in a wide energy interval, which includes theisoscalar giant monopole resonance and its overtone. The energy-averagedstrength functions of these resonances are also analyzed. Possibilities forusing the mentioned transition density to description of inelastic$\alpha$-scattering are discussed.

Investigation of the energy-averaged double transition density of isoscalar monopole excitations in medium-heavy mass spherical nuclei