Oblate deformation of light neutron-rich even-even nuclei

Ikuko Hamamoto
Phys. Rev. C 89, 057301 – Published 1 May 2014

Abstract

Light neutron-rich even-even nuclei, of which the ground state is oblately deformed, are looked for, examining the Nilsson diagram based on realistic Woods-Saxon potentials. One-particle energies of the Nilsson diagram are calculated by solving the coupled differential equations obtained from the Schrödinger equation in coordinate space with the proper asymptotic behavior for r 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 (ω:ωz) are simple rational numbers. In contrast, for the prolate deformation the magic numbers obtained from simple rational ratios of (ω:ωz) of the harmonic-oscillator potential are hardly related to the particle numbers, at which large energy gaps appear in the Nilsson diagrams based on realistic Woods-Saxon potentials. The argument for an oblate shape of 1442Si28 is given. Among light nuclei the nucleus 620C14 is found to be a good candidate for having the oblate ground state. In the region of the mass number A70 the oblate ground state may be found in the nuclei around 2876Ni48 in addition to 2864Ni36.

  • Figure
  • Figure
  • Received 18 February 2014
  • Revised 10 April 2014

DOI:https://doi.org/10.1103/PhysRevC.89.057301

©2014 American Physical Society

Authors & Affiliations

Ikuko Hamamoto*

  • Riken Nishina Center, Wako, Saitama 351-0198, Japan and Division of Mathematical Physics, Lund Institute of Technology at the University of Lund, Lund, Sweden

  • *ikuko@matfys.lth.se

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Issue

Vol. 89, Iss. 5 — May 2014

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