Nonlinear Enhancement of the Multiphonon Coulomb Excitation in Relativistic Heavy Ion Collisions

Abstract

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. Enhancement of the Double Giant Resonance excitation probabilities in relativistic ion collisions scales as $(2k+1)(2k{)}^{-1}$ for the degree of nonlinearity $(2k{)}^{-1}$ and is able to reach values $1.5-2$ compatible with experimental data. The enhancement factor is found to decrease with increasing bombarding energy. [KEYWORDS: Relativistic Heavy Ion Collisions,Double Giant Resonance]

12 pages, 2 figures

References in corpus (2)

• Variational approach to anharmonic collective motion
• Decay theory of double giant resonances

Cited by in corpus (7)

• Physics of Ultra-Peripheral Nuclear Collisions
• Microscopic Studies on Two-Phonon Giant Resonances
• Coulomb Excitation of Double Giant Dipole Resonances
• Comparison of exact and approximate cross-sections in relativistic Coulomb excitation
• Photon Exchange in Nucleus-Nucleus Collisions
• SU(2,1) Dynamics of Multiple Giant Dipole Resonance Coulomb Excitation
• Effective Widths and Effective Number of Phonons of Multiphonon Giant Resonances