-1 -0.5 0 0.5 1 -2 0 2 4 6 p = 0 p = 2 p = 4 p = 14 FIG. 3: Shapes of the finite range smoothing function f$_{p}$ ( x ) for p = 0 , 2 , 4 , 14. Note that f$_{0}$ ( x ) = w ( x ). Nucleus δE$_{n}$ σ δE$_{sc}$ Δ $^{16}$O − 1 . 63 0 . 04 − 1 . 57 0 . 06 $^{18}$O 2 . 67 0 . 04 3 . 01 0 . 34 $^{20}$O 3 . 25 0 . 24 3 . 11 0 . 14 $^{22}$O 0 . 12 0 . 53 0 . 09 0 . 03 $^{24}$O − 1 . 68 0 . 49 − 1 . 69 0 . 01 $^{20}$Ne 3 . 07 0 . 56 3 . 01 0 . 06 $^{40}$Ca − 1 . 77 0 . 35 − 0 . 66 0 . 97 $^{48}$Ca − 2 . 91 0 . 24 − 2 . 59 0 . 32 TABLE IV: Shell correction δE$_{n}$ , the variation σ in Eq.(24) and the semi-classical shell correction δE$_{sc}$ = E$_{sc}$ − E n sp calculated for several nuclei. The deviations Δ = | E$_{sc}$ − ˜ E | are also shown. All energies are in MeV units. 22