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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.
http://hal.in2p3.fr/in2p3-00436435
Contributor : Sophie Heurteau <>
Submitted on : Thursday, November 26, 2009 - 5:01:38 PM
Last modification on : Wednesday, September 16, 2020 - 4:07:55 PM
Contributor : Sophie Heurteau <>
Submitted on : Thursday, November 26, 2009 - 5:01:38 PM
Last modification on : Wednesday, September 16, 2020 - 4:07:55 PM
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