A soluble model for the study of saturation in finite nuclei

✍ Scribed by B Grammaticos

• Publisher: Elsevier Science
• Year: 1980
• Tongue: English
• Weight: 495 KB
• Volume: 126
• Category: Article
• ISSN: 0003-4916
• DOI: 10.1016/0003-4916(80)90183-9

✦ Synopsis

The deviation of very small nuclear systems from saturation is studied. In the framework of a soluble one-dimensional model based on the energy density formalism, we establish simple expressions for the density profile, the deviation from nuclear matter density, and the Fermi energy as a function of particle number. The binding energy of the nucleus is computed and the effect of the departure from saturation is identified as a term exponentially decaying for large A. A comparison with the theory of Krappe and Nix is also presented. Minimizing the total energy p tk = 0 = a~,(~) + u;(p) A-1'3 + a&(p) A--2'3, 4 (I-2) 450