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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., VIÑAS GAUSÍ, Xavier, CENTELLES AIXALÀ, Mario, SCHUCK, Peter, WYSS, R.. Microscopic-macroscopic approach for binding energies with the Wigner-Kirkwood method. _Physical Review C_. 2010. Vol. 81, núm. 4, pàgs. 044321-1-044321-18. [consulta: 25 de febrer de 2026]. ISSN: 0556-2813. [Disponible a: https://hdl.handle.net/2445/45446]