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

TL;DR

This paper applies the particle-hole dispersive optical model to analyze the energy-averaged double transition density and strength functions of isoscalar monopole excitations, including the giant monopole resonance and overtone, in medium-heavy spherical nuclei.

Contribution

It introduces a novel application of the dispersive optical model to describe energy-averaged transition densities and strength functions in medium-heavy nuclei.

Findings

Energy-averaged transition densities are characterized for $^{208}$Pb.

The model provides insights into the properties of giant monopole resonances.

Potential for improved inelastic scattering descriptions is discussed.

Abstract

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