# Microscopic-Macroscopic Approach for Binding Energies with Wigner-Kirkwood Method

Abstract : The semi-classical Wigner-Kirkwood $\hbar$ expansion method is used to calculate shell corrections for spherical and deformed nuclei. The expansion is carried out up to fourth order in $\hbar$. 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.
Document type :
Journal articles

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Submitted on : Thursday, November 26, 2009 - 5:01:38 PM
Last modification on : Wednesday, September 16, 2020 - 4:07:55 PM

### Citation

A. Bhagwat, X. Viñas, M. Centelles, P. Schuck, R. Wyss. Microscopic-Macroscopic Approach for Binding Energies with Wigner-Kirkwood Method. Physical Review C, American Physical Society, 2010, 81, pp.044321. ⟨10.1103/PhysRevC.81.044321⟩. ⟨in2p3-00436435⟩

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