A Particle number conserving shell-correction method

Details A Particle number conserving shell-correction method A Particle number conserving shell-correction method

2004-03-27

arxiv.org/abs/nucl-th/0403082v1

Phys.Rev. C70 (2004) 044306

Physics

Nuclear Physics

Nuclear Theory

11 pages in LaTeX, 7 figures

Scientific paper

10.1103/PhysRevC.70.044306

The shell correction method is revisited. Contrary to the traditional Strutinsky method, the shell energy is evaluated by an averaging over the number of particles and not over the single-particle energies, which is more consistent with the definition of the macroscopic energy. In addition, the smooth background is subtracted before averaging the sum of single-particle energies, which significantly improves the plateau condition and allows to apply the method also for nuclei close to the proton or neutron drip lines. A significant difference between the shell correction energy obtained with the traditional and the new method is found in particular for highly degenerated single-particle spectra (as i.e. in magic nuclei) while for deformed nuclei (where the degeneracy is lifted to a large extent) both estimates are close, except in the region of super or hyper-deformed states.

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