This shape parameter becomes sizable for Z > 50. The sign is positive in the first half of the major shells and negative in the second half. This behavior is in agreement with the results of the FRDM [MNM94] ( GIF file of 11KB or PS file of 225KB ) as well as with a naive expectation from the density profile of pure-j single-particle wavefunctions. The largest value of |a40| is about 0.1 both for positive and negative signs.
We have also prepared similar figures for other shape parameters of the results of the FRDM [MNM94].