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arXiv · 0911.4648

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

A. Bhagwat·X. Viñas·M. Centelles·P. Schuck·R. Wyss
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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.

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A. Bhagwat, X. Viñas, M. Centelles, P. Schuck, R. Wyss. 2009-11-24. Microscopic-Macroscopic Approach for Binding Energies with Wigner-Kirkwood Method. https://doi.org/10.1103/physrevc.81.044321

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