Oblate deformation of light neutron-rich even-even nuclei
(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
- Hamamoto-Kuroda, Ikuko LU
- organization
- publishing date
- 2014
- type
- Contribution to journal
- publication status
- published
- subject
- in
- Physical Review C (Nuclear Physics)
- volume
- 89
- issue
- 5
- article number
- 057301
- publisher
- American Physical Society
- external identifiers
-
- wos:000335530500002
- scopus:84899917470
- ISSN
- 0556-2813
- DOI
- 10.1103/PhysRevC.89.057301
- language
- English
- LU publication?
- yes
- additional info
- The information about affiliations in this record was updated in December 2015. The record was previously connected to the following departments: Mathematical Physics (Faculty of Technology) (011040002)
- id
- d2e4c931-fb0c-47a2-ad4d-a074ba39f057 (old id 4482545)
- date added to LUP
- 2016-04-01 13:04:30
- date last changed
- 2022-01-27 17:12:01
@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.}},
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}},
doi = {{10.1103/PhysRevC.89.057301}},
volume = {{89}},
year = {{2014}},
}