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One-particle properties of deformedN≈28odd-Nnuclei with weakly bound or resonant neutrons

2008/12/14 by Ikuko Hamamoto, I. Hamamoto
Physics and Astronomy · #Nuclear physics research studies #Quantum, superfluid, helium dynamics #Rare-earth and actinide compounds #nucl-th

paper · pdf · doi:10.1103/physrevc.79.014307

published as Phys.Rev.C79:014307,2009 · 3 figures

arxiv created 2008/12/14 · openalex publication_date 2009/01/16 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

Possible deformation of odd-N nuclei with N\ensuremath≈28 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 Schr"odinger equation in mesh of space coordinate with the correct boundary condition. If we use the same diffuseness of the potential as that of \ensuremathβ-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^\ensuremath-, if the N=28 energy gap almost vanishes.

Citations