Eur. Phys. J. Special Topics 150, 123-126 (2007)
https://doi.org/10.1140/epjst/e2007-00283-7

Resonant and weakly-bound one-particle levels in quadrupole-deformed potentials

Division of Mathematical Physics, LTH, University of Lund, P.O. Box 118, 22100 Lund, Sweden Niels Bohr Institute, University of Copenhagen, Blegdamsvej 17, 2100 Copenhagen, Denmark

Received: 31 January 2007
Published online: 8 December 2007

Abstract

Both positive-energy and weakly-bound one-particle levels for neutrons in Y₂₀ deformed Woods-Saxon potentials are examined in comparison with those in spherical Woods-Saxon potentials. While s_1/2 levels play a unique role in spherical drip-line nuclei, the Ω^π = 1/2⁺ levels in Y₂₀ deformed potentials, which always contain some amount of s_1/2 component, exhibit an important role in deformed drip-line nuclei. As the potential strength becomes weaker, some weakly-bound Ω^π = 1/2⁺ levels continue to the positive-energy region as one-particle resonant levels, while others have no such continuation. Among an infinite number of one-particle levels at a given positive-energy and in a given deformed potential, only some selected levels expressed in terms of eigenphase are found to be important in the pair-correlated ground state of neutron-drip-line nuclei.