Giant Resonances in Coulomb Excitations of Relativistic Ions

Details Giant Resonances in Coulomb Excitations of Relativistic Ions Giant Resonances in Coulomb Excitations of Relativistic Ions

1999-08-16

arxiv.org/abs/nucl-th/9908051v1

Physics

Nuclear Physics

Nuclear Theory

13 pages, 3 ps figures, Invited talk given at the International Workshop on "Collective Excitations in Fermi and Bose Systems"

Scientific paper

We propose a soluble model to incorporate the nonlinear effects in the transition probabilities of the multiphonon Giant Dipole Resonances based on the SU(1,1) algebra. Analytical expressions for the multi-phonon transition probabilities are derived. For reasonably small magnitude of nonlinearity $x\simeq 0.1-0.2$ enhancement factor for the Double Giant Resonance excitation probabilities and the cross sections %in relativistic ion collisions reaches values $1.3-2$ compatible with experimental data.

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