Comparison of exact and approximate cross-sections in relativistic Coulomb excitation

Abstract

We present a new method of obtaining time-dependent matrix elements of the electromagnetic pulse produced by a highly-relativistic projectile. These matrix elements are used in a coupled-channel calculation to predict the cross-sections for population of 1- and 2-phonon states of the giant dipole resonance. Comparisons are made with the predictions of the long-wavelength and Born approximations.

26 pages, LaTex2e

References in corpus (7)

• Microscopic Studies on Two-Phonon Giant Resonances
• Role of anharmonicities and non-linearities in heavy ion collisions. A microscopic approach
• Theory of Multiphonon Excitation in Heavy-Ion Collisions
• Nuclear multifragmentation induced by electromagnetic fields of ultrarelativistic heavy ions
• Nonlinear Enhancement of the Multiphonon Coulomb Excitation in Relativistic Heavy Ion Collisions
• Anharmonicities of giant dipole excitations
• Equivalence of the long-wavelength approximation and the truncated Taylor expansion in relativistic Coulomb excitation

Cited by in corpus (4)

• Relativistic Coulomb excitation at small impact parameters
• Gauge dependence of calculations in relativistic Coulomb excitation
• The Semiclassical Coulomb Interaction
• Quantum derivation of the use of classical electromagnetic potentials in relativistic Coulomb excitation