Shell corrections for finite depth potentials with bound states only

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 $\sigma$ factors. Numerical results for some spherical heavy nuclei (${}^{132,154}$Sn, ${}^{180,208}$Pb and ${}^{298}$114) are presented and compared to those obtained with the Green's function oscillator expansion method.

5 pages, 2 tables and 3 figures. Accepted in Physics Letters B

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