Shell corrections for finite depth potentials: Particle continuum effects

Details Shell corrections for finite depth potentials: Particle continuum effects Shell corrections for finite depth potentials: Particle continuum effects

1998-02-04

arxiv.org/abs/nucl-th/9802014v1

Phys.Rev.C57:3089-3098,1998

Physics

Nuclear Physics

Nuclear Theory

18 pages, 8 figures

Scientific paper

10.1103/PhysRevC.57.3089

Shell corrections of finite, spherical, one-body potentials are analyzed using a smoothing procedure which properly accounts for the contribution from the particle continuum, i.e., unbound states. Since the plateau condition for the smoothed single-particle energy seldom holds, a new recipe is suggested for the definition of the shell correction. The generalized Strutinsky smoothing procedure is compared with the results of the semi-classical Wigner-Kirkwood expansion. A good agreement has been found for weakly bound nuclei in the vicinity of the proton drip line. However, some deviations remain for extremely neutron-rich systems due to the pathological behavior of the semi-classical level density around the particle threshold.

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