Analytical mass formula and nuclear surface properties in the ETF approximation. Part II: asymmetric nuclei

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

来源：Journal of Physics G: Nuclear and Particle Physics , 2016, 43(4): 045106.

DOI：10.1088/0954-3899/43/4/045106

• mass model
• semi-classical methods
• surface symmetry energy
• neutron skin
• extended Thomas-Fermi

We have recently addressed the problem of the determination of the nuclear surface energy for symmetric nuclei in the framework of the extended Thomas-Fermi (ETF) approximation using Skyrme functionals. We presently extend this formalism to the case of asymmetric nuclei and the question of the surface symmetry energy. We propose an approximate expression for the diffuseness and the surface energy. These quantities are analytically related to the parameters of the energy functional. In particular, the influence of the different equation of state parameters can be explicitly quantified. Detailed analyses of the different energy components (local/non-local, isoscalar/isovector, surface/curvature and higher order) are also performed. Our analytical solution of the ETF integral improves. previous models and leads to a precision of better than 200. keV per nucleon in the determination of the nuclear binding energy for dripline nuclei.

• 出版日期2016-4