Analytical mass formula and nuclear surface properties in the ETF approximation. Part I: symmetric nuclei

作者：Aymard Francois; Gulminelli Francesca^*; Margueron Jerome

来源：Journal of Physics G: Nuclear and Particle Physics , 2016, 43(4): 045105.

DOI：10.1088/0954-3899/43/4/045105

• Mass model
• semi-classical methods
• surface energy
• extended Thomas Fermi
• low-density nuclear matter

The problem of determination of nuclear surface energy is addressed within the framework of the extended Thomas Fermi (ETF) approximation using Skyrme functionals. We propose an analytical model for the density profiles with variationally determined diffuseness parameters. In this first paper, we consider the case of symmetric nuclei. In this situation, the ETF functional can be exactly integrated, leading to an analytical formula expressing the surface energy as a function of the couplings of the energy functional. The importance of non-local terms is stressed and it is shown that they cannot be deduced simply from the local part of the functional, as it was suggested in previous works.

• 出版日期2016-4