One-particle properties of deformed N{approx_equal}28 odd-N nuclei with weakly bound or resonant neutrons

Possible deformation of odd-N nuclei with N{approx_equal}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 Schroedinger equation in mesh of space coordinate with the correct boundary condition. If we use the same diffuseness of the potential as that of {beta}-stable nuclei, the energy difference between the neutron 2p{sub 3/2} and 1f{sub 7/2} 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, {sub 16}{sup 43}S{sub 27} and {sub 16}{sup 45}S{sub 29}, are examined. Moreover, it is suggested that in {sub 12}{sup 39}Mg{sub 27} lying outside the drip line the lowest resonant state may have 5/2{sup -}, if the N=28 energy gap almost vanishes.