Oblate deformation of light neutronrich eveneven nuclei
(2014) In Physical Review C (Nuclear Physics) 89(5). Abstract
 Light neutronrich eveneven nuclei, of which the ground state is oblately deformed, are looked for, examining the Nilsson diagram based on realisticWoodsSaxon potentials. Oneparticle 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 oneparticle bound and resonant levels. The eigenphase formalism is used in the calculation of oneparticle 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 harmonicoscillator potential where the frequency ratios (omega(perpendicular... (More)
 Light neutronrich eveneven nuclei, of which the ground state is oblately deformed, are looked for, examining the Nilsson diagram based on realisticWoodsSaxon potentials. Oneparticle 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 oneparticle bound and resonant levels. The eigenphase formalism is used in the calculation of oneparticle 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 harmonicoscillator 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 harmonicoscillator potential are hardly related to the particle numbers, at which large energy gaps appear in the Nilsson diagrams based on realisticWoodsSaxon potentials. The argument for an oblate shape of Si42(14)28 is given. Among light nuclei the nucleus C20(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 Ni76(28)48 in addition to Ni64(28)36. (Less)
Please use this url to cite or link to this publication:
http://lup.lub.lu.se/record/4482545
 author
 HamamotoKuroda, Ikuko ^{LU}
 organization
 publishing date
 2014
 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
 05562813
 DOI
 10.1103/PhysRevC.89.057301
 language
 English
 LU publication?
 yes
 id
 d2e4c931fb0c47a2ad4da074ba39f057 (old id 4482545)
 date added to LUP
 20140619 14:33:11
 date last changed
 20180318 03:59:50
@article{d2e4c931fb0c47a2ad4da074ba39f057, abstract = {Light neutronrich eveneven nuclei, of which the ground state is oblately deformed, are looked for, examining the Nilsson diagram based on realisticWoodsSaxon potentials. Oneparticle 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 oneparticle bound and resonant levels. The eigenphase formalism is used in the calculation of oneparticle 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 harmonicoscillator 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 harmonicoscillator potential are hardly related to the particle numbers, at which large energy gaps appear in the Nilsson diagrams based on realisticWoodsSaxon potentials. The argument for an oblate shape of Si42(14)28 is given. Among light nuclei the nucleus C20(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 Ni76(28)48 in addition to Ni64(28)36.}, articleno = {057301}, author = {HamamotoKuroda, Ikuko}, issn = {05562813}, language = {eng}, number = {5}, publisher = {American Physical Society}, series = {Physical Review C (Nuclear Physics)}, title = {Oblate deformation of light neutronrich eveneven nuclei}, url = {http://dx.doi.org/10.1103/PhysRevC.89.057301}, volume = {89}, year = {2014}, }