SU(2,1) Dynamics of Multiple Giant Dipole Resonance Coulomb Excitation

Details SU(2,1) Dynamics of Multiple Giant Dipole Resonance Coulomb Excitation SU(2,1) Dynamics of Multiple Giant Dipole Resonance Coulomb Excitation

1999-08-26

arxiv.org/abs/nucl-th/9908075v1

Annals Phys. 284 (2000) 167-177

Physics

Nuclear Physics

Nuclear Theory

10 pages, 3 Postscript figures, latex

Scientific paper

10.1006/aphy.2000.6066

We construct a three-dimensional analytically soluble model of the nonlinear effects in Coulomb excitation of multiphonon Giant Dipole Resonances (GDR) based on the SU(2,1) algebra. The full 3-dimensional model predicts further enhancement of the Double GDR (DGDR) cross sections at high bombarding energies. Enhancement factors for DGDR measured in thirteen different processes with various projectiles and targets at different bombarding energies are well reproduced with the same value of the nonlinearity parameter with the exception of the anomalous case of $^{136}$Xe which requires a larger value.

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