Theory of multiphonon excitation in heavy-ion collisions

Bertulani, C. A.; Canto, L. F.; Hussein, M. S.; Piza, A. F. R. de Toledo

doi:10.1103/physrevc.53.334

Cited by 53 publications

(79 citation statements)

References 23 publications

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“…As shown in Ref. [19], the coupling of the electric quadrupole (isovector and isoscalar) and the electric dipole states is very weak and can be neglected. We therefore include in our space only one-phonon 1 − and two-phonon [1 − i ⊗ 1 − i ′ ] J π (J π = 0 + , 1 + and 2 + ) states.…”

Section: + Component Of the Dgdrmentioning

confidence: 99%

“…In Ref. [19] one obtained σ DGDR = 620 mb, 299 mb, and 199 mb for the centroid energies of E DGDR = 20 MeV, 24 MeV and 27 MeV, respectively. This shows that anharmonic effects can play a big role in the Coulomb excitation cross sections of the DGDR, depending on the size of the shift of E DGDR .…”

Section: Effect Of Resonance Widthsmentioning

confidence: 99%

“…[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%

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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: + Component Of the Dgdrmentioning

confidence: 99%

Section: Effect Of Resonance Widthsmentioning

confidence: 99%

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Microscopic studies of two-phonon giant resonances

Ponomarev

1999

Nuclear Physics A

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“…The role and interplay of these processes in multi-phonon excitation may be of interest in the physics of Giant Dipole Resonances (GDR) [46,47]. Although precise calculations with inclusion of the relevant microscopic physics of GDR are beyond the scope of this paper, we consider here the effect that the E2 process plays in the two phonon excitation probability We introduce a quadrupole coupling strength x which simply scales the quadrupole part of the perturbation Hamiltonian (2).…”

Section: Interplay Of Dipole and Quadrupole Fieldsmentioning

confidence: 99%

Role ofE1−E2interplay in multiphonon Coulomb excitation

Volya¹,

Esbensen²

2002

Phys. Rev. C

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In this work we study the problem of a charged particle, bound in a harmonic-oscillator potential, being excited by the Coulomb field from a fast charged projectile. Based on a classical solution to the problem and using the squeezed-state formalism we are able to treat exactly both dipole and quadrupole Coulomb field components. Addressing various transition amplitudes and processes of multiphonon excitation we study different aspects resulting from the interplay between E1 and E2 fields, ranging from classical dynamic polarization effects to questions of quantum interference. We compare exact calculations with approximate methods. Results of this work and the formalism we present can be useful in studies of nuclear reaction physics and in atomic stopping theory.

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“…There exists a wide literature devoted to the use of relativistic Coulomb excitation for the study of several aspects of nuclear structure that cannot be explored through the nuclear interaction [2][3][4][5][6][7][8]. In recent years, this subject has been also shown to be relevant to the practical question of the stability of beams of relativistic heavy ions, since some of the processes which lead to loss of beam ions are initiated by Coulomb excitation [2,[9][10][11].…”

Section: Introductionmentioning

confidence: 99%