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WIGNER-KIRKWOOD METHOD FOR MICROSCOPIC-MACROSCOPIC CALCULATION OF BINDING ENERGIES

Abstract : We propose to use the semi-classical Wigner-Kirkwood ħ expansion to calculate shell corrections for spherical and deformed nuclei. The expansion is carried out up to fourth order in ħ. 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 rms deviation of 630 keV.
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http://hal.in2p3.fr/in2p3-00488853
Contributor : Sophie Heurteau <>
Submitted on : Thursday, June 3, 2010 - 1:25:45 PM
Last modification on : Wednesday, September 16, 2020 - 4:08:30 PM

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A. Bhagwat, X. Vinas, R. Wyss, P. Schuck. WIGNER-KIRKWOOD METHOD FOR MICROSCOPIC-MACROSCOPIC CALCULATION OF BINDING ENERGIES. 16th Nuclear Physics Workshop "Marie & Pierre Curie", Sep 2009, Kazimierz, Poland. pp.747-758, ⟨10.1142/S0218301310015187⟩. ⟨in2p3-00488853⟩

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