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

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 s1/2 levels play a unique role in spherical drip-line nuclei, the Ωπ = 1/2+ levels in Y20 deformed potentials, which always contain some amount of s1/2 component, exhibit an important role in deformed drip-line nuclei. As the potential strength becomes weaker, some weakly-bound Ωπ = 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.