Connection between the "Strutinsky level density" and the semiclassical level density (published version)

Abstract

We establish an analytical link between the level density obtained by means of the Strutinsky averaging method, and the semiclassical level density. This link occurs only in the so-called "asymptotic limit". It turns out that the Strutinsky method amounts to an approximation to the semiclassical method. This approximation contains an unavoidable remainder which constitutes an intrinsic noise in comparison to the semiclassical method. Thus, the "old" problem of the dependency of the Strutinsky procedure on the two free smoothing parameters of the averaging is intimately connected to this noise. On the other hand, we demonstrate that the noise of the method is small in the average density of states and in the average energy, whereas it might be non-negligible in the shell correction itself. In order to improve this method, we give a "rule" which consists simply of minimizing the relative error made on the average energy.

arXiv comment6 figures

References in corpus (7)

• Nuclear Ground-State Masses and Deformations
• Shell corrections for finite depth potentials: Particle continuum effects
• A Particle number conserving shell-correction method
• Shell Corrections for Finite-Depth Deformed Potentials: Green's Function Oscillator Expansion Method
• Shell corrections for finite depth potentials with bound states only
• Semiclassical expansions up to ${\hslash }^4$-order in relativistic nuclear physics
• Single particle calculations for a Woods-Saxon potential with triaxial deformations, and large Cartesian oscillator basis

Cited by in corpus (7)

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• Microscopic-Macroscopic Approach for Binding Energies with the Wigner-Kirkwood Method - II
• Curvature Correction in the Strutinsky's Method
• Better insight into the Strutinsky method (published version)
• Microscopic-Macroscopic Approach for Ground-State Energies Based on the Gogny Force with the Wigner-Kirkwood Averaging Scheme
• Numerical approach to the nuclear deformation energy
• Derivation of the Strutinsky method from the least squares principle