Comparison of exact and approximate cross sections in relativistic Coulomb excitation

Bayman, B. F.; Zardi, F.

doi:10.1103/physrevc.68.014905

Cited by 8 publications

(11 citation statements)

References 31 publications

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“…The excitation energy of the mode is taken to behω 1 = 11.6 MeV (see Refs. [12,15]). In the upper-left corner we display how the real and imaginary components of the complex number a 10 (t) evolve for an impact parameter b = 80 fm and specified as indicated in the caption.…”

Section: Results Of the Calculationsmentioning

confidence: 99%

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Time-dependent aspects of the semiclassical approach in the analysis of heavy ion reactions

et al. 2006

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Section: Results Of the Calculationsmentioning

confidence: 99%

“…Keeping these considerations in mind, we chose to explore these fundamental issues in a deliberate context: The relativistic Coulomb excitation of the giant dipole resonance (GDR) in nuclei [6][7][8][9][10][11][12]. As we know, this regime brings into the construction of the couplings the scalar and vector potentials and A [1].…”

Section: Introductionmentioning

confidence: 99%

Time-dependent aspects of the semiclassical approach in the analysis of heavy ion reactions

et al. 2006

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“…III (crosses). Both are compared with the predictions obtained by Bayman and Zardi [18] making use of the standard formalism of Alder and Winther.…”

Section: Comparison With the Standard Approachmentioning

confidence: 98%

Relativistic Coulomb excitation of the giant dipole resonance in nuclei: A straightforward approach

et al. 2004

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We investigate alternatives to the standard formalism used for the study of relativistic Coulomb excitation of the giant dipole resonance in nuclei. The idea is to obtain reasonable results for the probabilities of excitation and cross sections to the one-phonon and two-phonon levels avoiding the substantial complexity of the treatments exploited so far. This is achieved for the relevant range of partial waves up to bombarding energies of at least 5 GeV per nucleon. The transfer of energy to the center of mass of the excited nuclei is also investigated.

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“…Further details on the calculation of matrix elements using the Brink model eigenstates are given in reference [11].…”

Section: B Multipole Expansions Of V L (ω) and V C (ω)mentioning

confidence: 99%

Gauge dependence of calculations in relativistic Coulomb excitation

Bayman

Zardi

2005

Phys. Rev. C

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Before a quantum-mechanical calculation involving electromagnetic interactions is performed, a choice must be made of the gauge to be used in expressing the potentials. If the calculation is done exactly, the observable results it predicts will be independent of the choice of gauge. However, in most practical calculations approximations are made, which can destroy the gauge invariance of the predictions.We compare here the results of coupled-channel time-dependent relativistic Coulomb excitation calculations, as performed in either Lorentz or Coulomb gauges. We find significant differences when the bombarding energy per nucleon is ≥ 2 GeV, which indicates that the common practice of relying completely on the Lorentz gauge can be dangerous.

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Comparison of exact and approximate cross sections in relativistic Coulomb excitation

Cited by 8 publications

References 31 publications

Time-dependent aspects of the semiclassical approach in the analysis of heavy ion reactions

Time-dependent aspects of the semiclassical approach in the analysis of heavy ion reactions

Relativistic Coulomb excitation of the giant dipole resonance in nuclei: A straightforward approach

Gauge dependence of calculations in relativistic Coulomb excitation

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