**Authors:****Eberhard R. Hilf**Phone: +49-(0)441-798-2542 Fax: +49-(0)441-798-3201**H. von Groote****K. Takahashi****Files:****ebs.gross.theory.pdf**

**Date:**1976**Article:**published in IKDA 76/12, TH Darmstadt**Abstract:**A simple analytic mass-formula is reviewed, which contains the Droplet Model of Myers and Swiatecki as its smooth part and a shell correction term constructed by bunching the smooth single-particle level density of a potential-well appropriate to the size of the respective nucleus. A fit of the 51 adjustable parameters is performed to 1312 experimental nuclear masses. The r.m.s. deviation of the calculated masses from the experimental ones is 660 keV. Predictions are compared to several experimental data: the newly measured Na and Rb masses, the isobaric mass parabola properties, the quadrupole moments, the nuclear radii, and the Hg alpha-decay energies. Further specific modifications are discussed concerning: 1) a shell correction to the nuclear radii, 2) a single-particle level density; besides the volume term it also contains a surface term and a term which reflects the finite depth of the potential well and leads to a higher-order surface asymmetry term in the Droplet-Model part, and 3) a deformation dependence of the bunched level density inferred from microscopic calculations.

Metadata by Thomas Severiens on 14 April 1999

Supporting work done by Sandra Valeska Bergmann.