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Polarization effects in superdeformed nuclei

Karlsson, Lennart B. LU ; Ragnarsson, Ingemar LU and Åberg, Sven LU (1998) In Nuclear Physics A 639(3-4). p.654-682
Abstract

A detailed theoretical investigation of polarization effects in superdeformed nuclei is performed. In the pure harmonic oscillator potential it is shown that when one particle (or hole) with the mass single-particle quadrupole moment qν is added to a superdeformed core, the change of the electric quadrupole moment can be parameterized as qeff = e(bqν + a), and analytical expressions are derived for the two parameters, a and b. Simple numerical expressions for qeff(qν) are obtained in the more realistic modified oscillator model. It is also shown that quadrupole moments of nuclei with up to 10 particles removed from the superdeformed core of 152Dy can be well described by... (More)

A detailed theoretical investigation of polarization effects in superdeformed nuclei is performed. In the pure harmonic oscillator potential it is shown that when one particle (or hole) with the mass single-particle quadrupole moment qν is added to a superdeformed core, the change of the electric quadrupole moment can be parameterized as qeff = e(bqν + a), and analytical expressions are derived for the two parameters, a and b. Simple numerical expressions for qeff(qν) are obtained in the more realistic modified oscillator model. It is also shown that quadrupole moments of nuclei with up to 10 particles removed from the superdeformed core of 152Dy can be well described by simply subtracting effective quadrupole moments of the active single-particle states from the quadrupole moment of the core. Tools are given for estimating the quadrupole moment for possible configurations in the superdeformed A ∼ 150 region.

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author
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publishing date
type
Contribution to journal
publication status
published
subject
keywords
Harmonic oscillator, Nilsson-Strutinsky, Polarization, Quadrupole moment, Superdeformation
in
Nuclear Physics A
volume
639
issue
3-4
pages
29 pages
publisher
Elsevier
external identifiers
  • scopus:0032584839
ISSN
0375-9474
DOI
10.1016/S0375-9474(98)00436-9
language
English
LU publication?
yes
id
fcb3a629-f211-4835-bddf-ef4e576ce27f
date added to LUP
2025-09-02 14:23:57
date last changed
2025-09-10 10:55:38
@article{fcb3a629-f211-4835-bddf-ef4e576ce27f,
  abstract     = {{<p>A detailed theoretical investigation of polarization effects in superdeformed nuclei is performed. In the pure harmonic oscillator potential it is shown that when one particle (or hole) with the mass single-particle quadrupole moment q<sub>ν</sub> is added to a superdeformed core, the change of the electric quadrupole moment can be parameterized as q<sub>eff</sub> = e(bq<sub>ν</sub> + a), and analytical expressions are derived for the two parameters, a and b. Simple numerical expressions for q<sub>eff</sub>(q<sub>ν</sub>) are obtained in the more realistic modified oscillator model. It is also shown that quadrupole moments of nuclei with up to 10 particles removed from the superdeformed core of <sup>152</sup>Dy can be well described by simply subtracting effective quadrupole moments of the active single-particle states from the quadrupole moment of the core. Tools are given for estimating the quadrupole moment for possible configurations in the superdeformed A ∼ 150 region.</p>}},
  author       = {{Karlsson, Lennart B. and Ragnarsson, Ingemar and Åberg, Sven}},
  issn         = {{0375-9474}},
  keywords     = {{Harmonic oscillator; Nilsson-Strutinsky; Polarization; Quadrupole moment; Superdeformation}},
  language     = {{eng}},
  month        = {{08}},
  number       = {{3-4}},
  pages        = {{654--682}},
  publisher    = {{Elsevier}},
  series       = {{Nuclear Physics A}},
  title        = {{Polarization effects in superdeformed nuclei}},
  url          = {{http://dx.doi.org/10.1016/S0375-9474(98)00436-9}},
  doi          = {{10.1016/S0375-9474(98)00436-9}},
  volume       = {{639}},
  year         = {{1998}},
}