content_image/357601.jpg content_image/357602.jpg content_image/357603.jpg content_image/357604.jpg content_image/357605.jpg content_image/357606.jpg
We calculate the smoothed energy by using the smoothed level density in Eq.(9) : 

<img src='content_image/357601.jpg'>

The smoothed Fermi-level ˜ λ is calculated from the condition that the number of neutrons and protons, i.e. the particle number is given: 

<img src='content_image/357602.jpg'>

The smoothed Fermi-level ˜ λ is different from the Fermi-level λ because the level density has been modified by the smoothing. 

## III. STANDARD STRUTINSKI METHOD WITH PLATEAU CONDITION 

Strutinski used a smoothing function with a Gaussian a weight function 

<img src='content_image/357603.jpg'>

and it can be shown that the curvature correction polynomials for a weight function of Gaussian shape are the associated Laguerre-polynomials 

<img src='content_image/357604.jpg'>

Therefore, in the standard Strutinski method the smoothing function is 

<img src='content_image/357605.jpg'>

For nuclei lying on the bottom of the stability valley the single particle potential can be approximated by a simple harmonic oscillator (h.o.) form. For a nucleus with mass number A the distance of consecutive shells can be expressed by the well known rule [20] 

<img src='content_image/357606.jpg'>

Shell structure of this simple h.o. model is modified by the presence of the spin-orbit interaction and also by the non-spherical shape of deformed nuclei but the quantity in Eq.(18) is still serves as a reasonably good measure for the shell structure. An attractive feature of 

