A Particle number conserving shell-correction method

Abstract

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.

11 pages in LaTeX, 7 figures

Cited by in corpus (10)

• Theory of Nuclear Fission
• Surface Symmetry Energy of Nuclear Energy Density Functionals
• Shell structure and orbit bifurcations in finite fermion systems
• Improved microscopic-macroscopic approach incorporating the effects of continuum states
• Connection between the "Strutinsky level density" and the semiclassical level density (published version)
• New method for calculating shell correction
• Average ground-state energy of finite Fermi systems
• Curvature Correction in the Strutinsky's Method
• Probing the structural evolution along the fission path in the superheavy nucleus ${}^{256}$Sg
• Vilen Mitrofanovich Strutinsky's impact on nuclear and many particle physics