Thomas-Fermi calculations in nuclei

Abstract

The Thomas-Fermi theory was used to calculate the energy per particle, the density distribution and the single-particle potential for neutrons and protons in finite nuclei. The calculation was performed for the nuclei ²⁰⁸Pb, ¹⁴⁰Ce, ^120Sn and ^90Zr. The binding energies per particle were 0.5-0.8 MeV too small, the rms radii of the density distributions were well reproduced, whereas the surface thickness was too small.