Microscopic-Macroscopic Approach for Binding Energies with Wigner-Kirkwood Method
Abstract
The semi-classical Wigner-Kirkwood expansion method is used to calculate shell corrections for spherical and deformed nuclei. The expansion is carried out up to fourth order in . A systematic study of Wigner-Kirkwood averaged energies is presented as a function of the deformation degrees of freedom. The shell corrections, along with the pairing energies obtained by using the Lipkin-Nogami scheme, are used in the microscopic-macroscopic approach to calculate binding energies. The macroscopic part is obtained from a liquid drop formula with six adjustable parameters. Considering a set of 367 spherical nuclei, the liquid drop parameters are adjusted to reproduce the experimental binding energies, which yields a {\it rms} deviation of 630 keV. It is shown that the proposed approach is indeed promising for the prediction of nuclear masses.
Cite
@article{arxiv.0911.4648,
title = {Microscopic-Macroscopic Approach for Binding Energies with Wigner-Kirkwood Method},
author = {A. Bhagwat and X. Viñas and M. Centelles and P. Schuck and R. Wyss},
journal= {arXiv preprint arXiv:0911.4648},
year = {2010}
}