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Shell corrections for finite depth potentials with bound states only

2004/05/07 by A. Díaz-Torres, Alexis Diaz-Torres · 12 citations
Engineering · Mathematics · Physics and Astronomy · #Algorithm #Bound state #Function (biology) #Ground state #Lanczos resampling #Materials science #Mathematical analysis #Mathematical physics #Mathematics #Nuclear Physics and Applications #Nuclear physics research studies #Nuclear reactor physics and engineering #Physics #Quantum mechanics #Shell (structure) #Sigma #Smoothing #State (computer science) #nucl-th

paper · pdf · doi:10.1016/j.physletb.2004.05.022

published in Physics Letters B 594(1-2), 69-75 (Elsevier BV) · 5 pages, 2 tables and 3 figures. Accepted in Physics Letters B

arxiv created 2004/05/07 · openalex publication_date 2004/06/16 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

A new method of calculating unique values of ground-state shell corrections for finite depth potentials is shown, which makes use of bound states only. It is based on (i) a general formulation of extracting the smooth part from any fluctuating quantity proposed by Strutinsky and Ivanjuk, (ii) a generalized Strutinsky smoothing condition suggested recently by Vertse et al., and (iii) the technique of the Lanczos σ factors. Numerical results for some spherical heavy nuclei (132,154Sn, 180,208Pb and 298114) are presented and compared to those obtained with the Green's function oscillator expansion method.

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