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Microscopic-macroscopic approach for binding energies with the Wigner-Kirkwood method
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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.
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BHAGWAT, A., et al. Microscopic-macroscopic approach for binding energies with the Wigner-Kirkwood method. Physical Review C. 2010. Vol. 81, núm. 4, pàgs. 044321-1-044321-18. ISSN 0556-2813. [consulta: 7 de maig de 2026]. Disponible a: https://hdl.handle.net/2445/45446