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Oblate deformation of light neutron-rich even-even nuclei

Hamamoto-Kuroda, Ikuko LU (2014) In Physical Review C (Nuclear Physics) 89(5).
Abstract
Light neutron-rich even-even nuclei, of which the ground state is oblately deformed, are looked for, examining the Nilsson diagram based on realisticWoods-Saxon potentials. One-particle energies of the Nilsson diagram are calculated by solving the coupled differential equations obtained from the Schrodinger equation in coordinate space with the proper asymptotic behavior for r -> infinity for both one-particle bound and resonant levels. The eigenphase formalism is used in the calculation of one-particle resonant energies. Large energy gaps on the oblate side of the Nilsson diagrams are found to be related to the magic numbers for the oblate deformation of the harmonic-oscillator potential where the frequency ratios (omega(perpendicular... (More)
Light neutron-rich even-even nuclei, of which the ground state is oblately deformed, are looked for, examining the Nilsson diagram based on realisticWoods-Saxon potentials. One-particle energies of the Nilsson diagram are calculated by solving the coupled differential equations obtained from the Schrodinger equation in coordinate space with the proper asymptotic behavior for r -> infinity for both one-particle bound and resonant levels. The eigenphase formalism is used in the calculation of one-particle resonant energies. Large energy gaps on the oblate side of the Nilsson diagrams are found to be related to the magic numbers for the oblate deformation of the harmonic-oscillator potential where the frequency ratios (omega(perpendicular to) : omega(z)) are simple rational numbers. In contrast, for the prolate deformation the magic numbers obtained from simple rational ratios of (omega(perpendicular to) : omega(z)) of the harmonic-oscillator potential are hardly related to the particle numbers, at which large energy gaps appear in the Nilsson diagrams based on realisticWoods-Saxon potentials. The argument for an oblate shape of Si-42(14)28 is given. Among light nuclei the nucleus C-20(6)14 is found to be a good candidate for having the oblate ground state. In the region of the mass number A approximate to 70 the oblate ground state may be found in the nuclei around Ni-76(28)48 in addition to Ni-64(28)36. (Less)
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author
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
Physical Review C (Nuclear Physics)
volume
89
issue
5
publisher
American Physical Society
external identifiers
  • wos:000335530500002
  • scopus:84899917470
ISSN
0556-2813
DOI
10.1103/PhysRevC.89.057301
language
English
LU publication?
yes
id
d2e4c931-fb0c-47a2-ad4d-a074ba39f057 (old id 4482545)
date added to LUP
2014-06-19 14:33:11
date last changed
2017-05-21 03:50:23
@article{d2e4c931-fb0c-47a2-ad4d-a074ba39f057,
  abstract     = {Light neutron-rich even-even nuclei, of which the ground state is oblately deformed, are looked for, examining the Nilsson diagram based on realisticWoods-Saxon potentials. One-particle energies of the Nilsson diagram are calculated by solving the coupled differential equations obtained from the Schrodinger equation in coordinate space with the proper asymptotic behavior for r -> infinity for both one-particle bound and resonant levels. The eigenphase formalism is used in the calculation of one-particle resonant energies. Large energy gaps on the oblate side of the Nilsson diagrams are found to be related to the magic numbers for the oblate deformation of the harmonic-oscillator potential where the frequency ratios (omega(perpendicular to) : omega(z)) are simple rational numbers. In contrast, for the prolate deformation the magic numbers obtained from simple rational ratios of (omega(perpendicular to) : omega(z)) of the harmonic-oscillator potential are hardly related to the particle numbers, at which large energy gaps appear in the Nilsson diagrams based on realisticWoods-Saxon potentials. The argument for an oblate shape of Si-42(14)28 is given. Among light nuclei the nucleus C-20(6)14 is found to be a good candidate for having the oblate ground state. In the region of the mass number A approximate to 70 the oblate ground state may be found in the nuclei around Ni-76(28)48 in addition to Ni-64(28)36.},
  articleno    = {057301},
  author       = {Hamamoto-Kuroda, Ikuko},
  issn         = {0556-2813},
  language     = {eng},
  number       = {5},
  publisher    = {American Physical Society},
  series       = {Physical Review C (Nuclear Physics)},
  title        = {Oblate deformation of light neutron-rich even-even nuclei},
  url          = {http://dx.doi.org/10.1103/PhysRevC.89.057301},
  volume       = {89},
  year         = {2014},
}