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On the mass formula and Wigner and curvature energy terms

Abstract : The efficiency of different mass formulas derived from the liquid drop model including or not the curvature energy, the Wigner term and different powers of the relative neutron excess $I$ has been determined by a least square fitting procedure to the experimental atomic masses assuming a constant R$_{0,charge}$/A$^{1/3}$ ratio. The Wigner term and the curvature energy can be used independently to improve the accuracy of the mass formula. The different fits lead to a surface energy coefficient of around 17-18 MeV, a relative sharp charge radius r$_0$ of 1.22-1.23 fm and a proton form-factor correction to the Coulomb energy of around 0.9 MeV.
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Contributor : Dominique Girod <>
Submitted on : Friday, October 12, 2007 - 1:59:45 PM
Last modification on : Tuesday, February 11, 2020 - 10:26:05 AM
Long-term archiving on: : Thursday, September 27, 2012 - 1:01:02 PM


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  • HAL Id : in2p3-00178884, version 1
  • ARXIV : 0710.2503


G. Royer. On the mass formula and Wigner and curvature energy terms. Romanian Reports in Physics, Editura Academiei Române, 2007, 59, pp.625-634. ⟨in2p3-00178884⟩



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