One-particle properties of deformed N28 odd-N nuclei with weakly bound or resonant neutrons

Ikuko Hamamoto
Phys. Rev. C 79, 014307 – Published 16 January 2009

Abstract

Possible deformation of odd-N nuclei with N28 toward the neutron drip line is investigated using the Nilsson diagram based on deformed Woods-Saxon potentials. Both weakly-bound and resonant one-particle levels are properly obtained by directly solving the Schrödinger equation in mesh of space coordinate with the correct boundary condition. If we use the same diffuseness of the potential as that of β-stable nuclei, the energy difference between the neutron 2p3/2 and 1f7/2 levels becomes very small or the N=28 energy gap almost disappears, as the binding energies of those levels approach zero. This suggests that the ground states of those neutron drip line nuclei are likely to be deformed. In particular, the spin-parity and the magnetic moment of the ground state of odd-N nuclei, 1643S27 and 1645S29, are examined. Moreover, it is suggested that in 1239Mg27 lying outside the drip line the lowest resonant state may have 5/2, if the N=28 energy gap almost vanishes.

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  • Received 29 September 2008

DOI:https://doi.org/10.1103/PhysRevC.79.014307

©2009 American Physical Society

Authors & Affiliations

Ikuko Hamamoto

  • Division of Mathematical Physics, Lund Institute of Technology at the University of Lund, Lund, Sweden and The Niels Bohr Institute, Blegdamsvej 17, Copenhagen Ø, DK-2100, Denmark

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Issue

Vol. 79, Iss. 1 — January 2009

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