Relativistic coulomb excitation

Winther, A.; Alder, K.

doi:10.1016/0375-9474(79)90528-1

Cited by 373 publications

(409 citation statements)

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“…This treatment is discussed in full details by Alder and Winther in Refs. [16,17,18]. We will describe next the formalism developed by Canto et al [19], which explicitly gives the time-dependence of the multipole fields, useful for a coupled-channels calculation.…”

Section: Heavy Ion Excitation Of Giant Resonances 21 Coulomb Excitatmentioning

confidence: 99%

“…In Ref. [18], a multipole expansion of the electromagnetic excitation amplitudes in relativistic heavy ion collisions was carried out. This work used first order perturbation theory and the semiclassical approximation.…”

Section: Heavy Ion Excitation Of Giant Resonances 21 Coulomb Excitatmentioning

confidence: 99%

“…[18]. We note that the multipole decomposition developed by those authors is accomplished by a different approach, i.e., using recurrence relations for the Gegenbauer polynomials, after the integral on time is performed.…”

Section: First-order Perturbation Theorymentioning

confidence: 99%

“…On the other hand, in the theory of relativistic Coulomb excitation [18] recoil effects on the trajectory are neglected (one assumes straight-line motion) but retardation is handled correctly. In fact, the onset of retardation brings new important effects such as the steady increase of the excitation cross sections with bombarding energy.…”

Section: Coulomb Excitation At Intermediate Energies 221 Classical mentioning

confidence: 99%

“…where πλm denotes the multipolarity, G πλm are the Winther-Alder relativistic functions [18], and < I f M f |M(πλ, −m)|I i M i > is the matrix element for the electromagnetic transition of multipolarity πλm from…”

Section: Inelastic Amplitudes and Virtual Photon Numbersmentioning

confidence: 99%

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Microscopic studies of two-phonon giant resonances

Ponomarev

1999

Nuclear Physics A

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A new class of giant resonances in nuclei, namely double giant resonances, is discussed. They are giant resonances built on top of other giant resonances. Investigation on their properties, together with similar studies on low-lying two-phonon states, should give an answer on how far the harmonic picture of boson-type excitations holds in the finite fermion systems like atomic nuclei.The main attention in this review is paid to double giant dipole resonances (DGDR) which are observed in relativistic heavy ion collisions with very large cross sections. A great experimental and theoretical effort is underway to understand the reaction mechanism which leads to the excitation of these states in nuclei, as well as the better microscopic understanding of their properties. The Coulomb mechanism of the excitation of single and double giant resonances in heavy ion collision at different projectile energies is discussed in details. A contribution of the nuclear excitation to the total cross section of the reaction is also considered. The Coulomb excitation of double resonances is described within both, the second-order perturbation theory approach and in coupled-channels calculation. The properties of single and double resonances are considered within the phenomenologic harmonic vibrator model and microscopic quasiparticle-RPA approach. For the last we use the Quasiparticle-Phonon Model (QPM) the basic ideas and formalism of which are presented. The QPM predictions of the DGDR properties (energy centroids, widths, strength distributions, anharmonicities and excitation cross sections) are compared to predictions of harmonic vibrator model, results of other microscopic calculations and experimental data available. : 24.30.Cz, 25.70.De, Pacs

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Section: Heavy Ion Excitation Of Giant Resonances 21 Coulomb Excitatmentioning

confidence: 99%

Section: Heavy Ion Excitation Of Giant Resonances 21 Coulomb Excitatmentioning

confidence: 99%

Section: First-order Perturbation Theorymentioning

confidence: 99%

Section: Coulomb Excitation At Intermediate Energies 221 Classical mentioning

confidence: 99%

Section: Inelastic Amplitudes and Virtual Photon Numbersmentioning

confidence: 99%

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