On the liquid drop model mass formulae and charge radii
نویسندگان
چکیده
An adjustment to 782 ground state nuclear charge radii for nuclei with N,Z ≥ 8 leads to R0 = 1.2257 A 1/3 fm and σ = 0.124 fm for the charge radius. Assuming such a Coulomb energy Ec = 3 5 eZ/1.2257 A 1 3 , 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 not the diffuseness correction (Z/A term), the charge exchange correction term (Z/A 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 plays the main role to improve the accuracy of the mass formulae. The different fits lead to a surface energy coefficient of around 17-18 MeV. A possible more precise formula for the Coulomb radius is R0 = 1.2332A 1/3 + 2.8961/A − 0.18688AI fm with σ = 0.052 fm. PACS. 21.10.Dr Binding energies and masses 21.60.Ev Collective models
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On the coefficients of the liquid drop model mass formulae and nuclear radii
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