Surface-layer corrections to the level-density formula for a diffuse Fermi gas

Thermostatic properties of Seyler-Blanchard nuclei

“…Is is interesting to compare our result with that obtained by Toke and Swiatecki [7] using idealized density distributions. The most significant difference arises from the fact that we have an effective mass, due to the momentum dependence of the Seyler-Blanchard interaction (1).…”

“…A similar enhancement was found for the coefficient c 2 of the first correction term, so that the relative size of the first-order correction in A -1 1 3 comes out very similar to the result of ref. [7]. However, the coefficient c 3 associated with the second-order correction is nearly two orders of magnitude smaller than the corresponding one obtained in ref.…”

“…The coefficient F 2 denotes the ratio between the actual surface area and that of the equivalent sphere. [7] For a slab, this quantity is readily found to be equal to 3, as already used above. The second-order correction coefficient c 3 can be determined by considering the behavior of aA for large spherical nuclei.…”

“…However, the coefficient c 3 associated with the second-order correction is nearly two orders of magnitude smaller than the corresponding one obtained in ref. [7]. We suspect that this difference arises in large part because the results, at this level of accuracy, have a high sensitivity to the model details, especially the density profile.…”

“…We recently formulated a statistical model for the calculation of the free energy F associated with an arbitrary specified density distribution p( r ), held at a constant temperature 7.…”