https://doi.org/10.1140/epja/i2008-10745-8
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: royer@subatech.in2p3.fr
Received:
16
December
2008
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
