Abstract
The particle-hole dispersive optical model developed recently is applied to describe properties of high-energy isoscalar monopole excitations in 208 Pb. We consider, in particular, the double transition density averaged over the energy of the isoscalar monopole excitations 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. Some corrections to the calculation scheme are formulated to restore the model unitarity.
Highlights
The study of properties of collective states in nuclei provide information on the bulk properties of nuclear matter
The interest in experimental and theoretical studies of high-energy isoscalar monopole (ISM) (p-h)-type excitations in mediumheavy mass nuclei is explained by the possibility to get information about the compressibility modulus of nuclear matter, a fundamental physical quantity essential for cosmology and nuclear physics
To deduce this strength from experimental (α, α )reaction cross sections, it is usually assumed that the ISM strength is concentrated in a vicinity of the ISGMR and the properly normalized collective ISGMR transition density can be used in the analysis of experimental data
Summary
The study of properties of collective states in nuclei provide information on the bulk properties of nuclear matter. The interest in experimental and theoretical studies of high-energy isoscalar monopole (ISM) (p-h)-type excitations in mediumheavy mass nuclei is explained by the possibility to get information about the compressibility modulus of nuclear matter, a fundamental physical quantity essential for cosmology and nuclear physics. The value of this quantity depends on the mean energy of the strength distribution, corresponding to the ISM external field r2Y00 (in other words, on the energy of the isoscalar giant monopole resonance (ISGMR)) [1]. Some corrections to the PHDOM are formulated to restore the model unitarity
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