Regular Article - Theoretical Physics
On the liquid drop model mass formulae and charge radii
Laboratoire Subatech, UMR: IN2P3/CNRS-Université-Ecole des Mines, 44, Nantes, France
* e-mail: firstname.lastname@example.org
Accepted: 4 February 2009
Published online: 12 March 2009
An adjustment to 782 ground-state nuclear charge radii for nuclei with N, Z 8 leads to fm and = 0.124 fm for the charge radius. Assuming such a Coulomb energy , the coefficients of different possible mass formulae derived from the liquid drop model and including the shell and pairing energies have been determined from 2027 masses verifying N, Z 8 and a mass uncertainty 150 keV. These formulae take into account or do not the diffuseness correction ( term), the charge exchange correction term ( term), the curvature energy, the Wigner terms and different powers of I = (N - Z)/A . The Coulomb diffuseness correction or the charge exchange correction term play the main role to improve the accuracy of the mass formulae. The different fits lead to a surface energy coefficient of around 17-18MeV. A possible more precise formula for the Coulomb radius is fm with = 0.052 fm.
© SIF, Springer-Verlag Berlin Heidelberg, 2009