Microscopic description of Coulomb and nuclear excitation of multiphonon states in ${}^{40}$Ca + ${}^{40}$Ca collisions

Abstract

We calculate the inelastic scattering cross sections to populate one- and two-phonon states in heavy ion collisions with both Coulomb and nuclear excitations. Starting from a microscopic approach based on RPA, we go beyond it in order to treat anharmonicities and non-linear terms in the exciting field. These anharmonicities and non-linearities are shown to have important effects on the cross sections both in the low energy part of the spectrum and in the energy region of the Double Giant Quadrupole Resonance. By properly introducing an optical potential the inelastic cross section is calculated semiclassically by integrating the excitation probability over all impact parameters. A satisfactory agreement with the experimental results is obtained.

arXiv comment20 pages, 2 figures, revtex, to be published in Phys. Rev. C

References in corpus (2)

• Role of anharmonicities and non-linearities in heavy ion collisions. A microscopic approach
• Boson expansion methods applied to a two-level model in the study of multiple giant resonances

Cited by in corpus (5)

• Towards a Microscopic Reaction Description Based on Energy-Density-Functional Structure Models
• Microscopic calculations of double and triple Giant Resonance excitation in heavy ion collisions
• Quantum fluctuations induce collective multiphonons in finite Fermi liquids
• On the Excitation of Double Giant Resonances in Heavy Ion Reactions
• Coulomb Excitation of Multi-Phonon Levels of the Giant Dipole Resonance