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Damped transient response of the giant dipole resonance in the lead region

Severyukhin, A. P. LU ; Åberg, S. LU ; Arsenyev, N. N. and Nazmitdinov, R. G. (2018) In Physical Review C 98(4).
Abstract

We analyze thoroughly the statistical properties of the 1- spectrum in energy interval 9.5-18.5 MeV for Hg206, Pb204,206,208, and Po210 nuclei. To this aim we use the Skyrme interaction SLy4 and the volume pairing interaction, treated in the BCS approximation, as our model Hamiltonian to create a single-particle spectrum and to analyze excited states. The excited states are obtained in the quasiparticle random phase approximation taking into account the coupling between one- and two-phonon states. The obtained spectra (studied by means of the nearest-neighbour spacing distribution, Δ3-statistics and the Porter-Thomas distribution) indicate on the onset of statistical properties close to those of the Gaussian Orthogonal Ensembles. The... (More)

We analyze thoroughly the statistical properties of the 1- spectrum in energy interval 9.5-18.5 MeV for Hg206, Pb204,206,208, and Po210 nuclei. To this aim we use the Skyrme interaction SLy4 and the volume pairing interaction, treated in the BCS approximation, as our model Hamiltonian to create a single-particle spectrum and to analyze excited states. The excited states are obtained in the quasiparticle random phase approximation taking into account the coupling between one- and two-phonon states. The obtained spectra (studied by means of the nearest-neighbour spacing distribution, Δ3-statistics and the Porter-Thomas distribution) indicate on the onset of statistical properties close to those of the Gaussian Orthogonal Ensembles. The comparison of the results, obtained with the aid of the coupling calculated microscopically and by means of the Gaussian random distribution, demonstrates a close similarity in the description of the spreading widths of the Isovector Dipole Giant Resonanse of the considered nuclei. Furthermore, we show that employing the random distribution for the coupling between microscopic one-phonon states and two-phonon states, generated by the Gaussian Orthogonal Ensembles distribution, a good agreement is also obtained with the microscopic description of the decay widths.

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author
; ; and
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
Physical Review C
volume
98
issue
4
article number
044319
publisher
American Physical Society
external identifiers
  • scopus:85055825575
ISSN
2469-9985
DOI
10.1103/PhysRevC.98.044319
language
English
LU publication?
yes
id
d64ecdaf-c2c4-4206-a61e-e37a3a7661d1
date added to LUP
2018-11-15 10:45:51
date last changed
2022-03-17 19:07:56
@article{d64ecdaf-c2c4-4206-a61e-e37a3a7661d1,
  abstract     = {{<p>We analyze thoroughly the statistical properties of the 1- spectrum in energy interval 9.5-18.5 MeV for Hg206, Pb204,206,208, and Po210 nuclei. To this aim we use the Skyrme interaction SLy4 and the volume pairing interaction, treated in the BCS approximation, as our model Hamiltonian to create a single-particle spectrum and to analyze excited states. The excited states are obtained in the quasiparticle random phase approximation taking into account the coupling between one- and two-phonon states. The obtained spectra (studied by means of the nearest-neighbour spacing distribution, Δ3-statistics and the Porter-Thomas distribution) indicate on the onset of statistical properties close to those of the Gaussian Orthogonal Ensembles. The comparison of the results, obtained with the aid of the coupling calculated microscopically and by means of the Gaussian random distribution, demonstrates a close similarity in the description of the spreading widths of the Isovector Dipole Giant Resonanse of the considered nuclei. Furthermore, we show that employing the random distribution for the coupling between microscopic one-phonon states and two-phonon states, generated by the Gaussian Orthogonal Ensembles distribution, a good agreement is also obtained with the microscopic description of the decay widths.</p>}},
  author       = {{Severyukhin, A. P. and Åberg, S. and Arsenyev, N. N. and Nazmitdinov, R. G.}},
  issn         = {{2469-9985}},
  language     = {{eng}},
  number       = {{4}},
  publisher    = {{American Physical Society}},
  series       = {{Physical Review C}},
  title        = {{Damped transient response of the giant dipole resonance in the lead region}},
  url          = {{http://dx.doi.org/10.1103/PhysRevC.98.044319}},
  doi          = {{10.1103/PhysRevC.98.044319}},
  volume       = {{98}},
  year         = {{2018}},
}