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Shell corrections for finite depth potentials: Particle continuum effects

T. Vertse·A. T. Kruppa·R. J. Liotta·W. Nazarewicz·N. Sandulescu·T. R. Werner
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Abstract

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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T. Vertse, A. T. Kruppa, R. J. Liotta, W. Nazarewicz, N. Sandulescu, T. R. Werner. 1998-02-04. Shell corrections for finite depth potentials: Particle continuum effects. https://doi.org/10.1103/physrevc.57.3089

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