We tabulate the atomic mass excesses and nuclear ground-state deformations of 8979 nuclei ranging from 16 O to A = 339. The calculations are based on the finite-range droplet macroscopic model and the folded-Yukawa single-particle microscopic model. Relative to our 1981 mass table the current results are obtained with an improved macroscopic model, an improved pairing model with a new form for the effective-interaction pairing gap, and minimization of the ground-state energy with respect to additional shape degrees of freedom. The values of only 9 constants are determined directly from a least-squares adjustment to the ground-state masses of 1654 nuclei ranging from 16 O to 263 106 and to 28 fission-barrier heights. The error of the mass model is 0.669 MeV for the entire region of nuclei considered, but is only 0.448 MeV for the region above N = 65.
The parameters in the macroscopic droplet part of the finite-range droplet model (FRDM) are related to the properties of the equation of state. In the FRDM (1992) version, the optimization of the model parameters was not sufficiently sensitive to variations of the compressibility constant K and the density-symmetry constant L to allow their determination. In the new, more accurate FRDM-2011a adjustment of the model constants to new and more accurate experimental masses allows the determination of L together with the symmetry-energy constant J. The optimization is still not sensitive to K which is therefore fixed at K=240 MeV. Our results are J=32.5±0.5 MeV and L=70±15 MeV and a considerably improved mass-model accuracy σ=0.5700 MeV, with respect to the 2003 Atomic Mass Evaluation (AME2003) for FRDM-2011a, compared to σ=0.669 MeV for FRDM (1992).
There is a typographical error in Eq. (8). It should readThe rest of the paper is not affected; in particular the table is correct.We thank A. P. Hayes of the University of Maine for bringing this error to our attention.
LBL-1957 The Droplet Model of nuclear masses and density distributions, introduced in Ref. [1] for spherical configurations, is generalized to arbitrary shapes. Equations in closed form are given for the neutron and proton density non-uniformities induced by the electric forces, and also for the dependence of the neutron skin thickness on position on the nuclear surface. The formulae for the corrections to the nuclear energy associated with these effects are derived and this leads to a Droplet Model atomic mass formula which is presented with a preliminary set of coefficients adjusted to nuclear ground state masses and fission barriers.
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