Microscopic-macroscopic approach for binding energies with the Wigner-Kirkwood method
2010 (English)In: Physical Review C. Nuclear Physics, ISSN 0556-2813, E-ISSN 1089-490X, Vol. 81, no 4, 044321- p.Article in journal (Refereed) Published
The semiclassical Wigner-Kirkwood h expansion method is used to calculate shell corrections for spherical and deformed nuclei. The expansion is carried out up to fourth order in h. 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 root mean square (rms) deviation of 630 keV. It is shown that the proposed approach is indeed promising for the prediction of nuclear masses.
Place, publisher, year, edition, pages
2010. Vol. 81, no 4, 044321- p.
IdentifiersURN: urn:nbn:se:kth:diva-27928DOI: 10.1103/PhysRevC.81.044321ISI: 000277209500034ScopusID: 2-s2.0-77951986638OAI: oai:DiVA.org:kth-27928DiVA: diva2:382807
QC 201101032011-01-032011-01-032011-01-03Bibliographically approved