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Nuclear mass predictions with a radial basis function approach

Ning Wang, +1 more
- 10 Nov 2011 - 
- Vol. 84, Iss: 5, pp 051303
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TLDR
With the help of the radial basis function (RBF) and the Garvey-Kelson relation, the accuracy and predictive power of some global nuclear mass models are significantly improved as discussed by the authors.
Abstract
With the help of the radial basis function (RBF) and the Garvey-Kelson relation, the accuracy and predictive power of some global nuclear mass models are significantly improved. The rms deviation between predictions from four models and 2149 known masses falls to $\ensuremath{\sim}$200 keV. The AME95-03 and AME03-Border tests show that the RBF approach is a very useful tool for further improving the reliability of mass models. Simultaneously, the differences from different model predictions for unknown masses are remarkably reduced and the isospin symmetry is better represented when the RBF extrapolation is combined.

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Citations
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Improved empirical formula for α -decay half-lives

TL;DR: Wang et al. as mentioned in this paper proposed an improved Royer formula with only eight parameters, which takes into account both the blocking effect of unpaired nucleons and the contribution of centrifugal potential.
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Predictions of unknown masses and their applications

TL;DR: In this paper, the authors predict atomic masses which are not experimentally accessible by using local mass relations which connect with the proton-neutron interactions with improved accuracy based on their predicted masses, and investigate one-proton and one-nutron drip lines for a few regions in the nuclide chart and α-decay half-lives times for some isotopes with proton number 102 Z 106.
References
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Journal ArticleDOI

Nuclear ground state masses and deformations

TL;DR: In this paper, the atomic mass excesses and nuclear ground-state deformations of 8979 nuclei ranging from 16O to A = 339 were tabulated based on the finite-range droplet macroscopic model and the folded-Yukawa single-particle microscopic model.
Journal ArticleDOI

Multiquadric equations of topography and other irregular surfaces

TL;DR: In this paper, a method of representing irregular surfaces that involves the summation of equations of quadric surfaces having unknown coefficients is described, and procedures are given for solving multiquadric equations of topography that are based on coordinate data.
Journal ArticleDOI

The AME2003 atomic mass evaluation . (II). Tables, graphs and references

TL;DR: The second part of the new evaluation of atomic masses Ame 2003 is presented in this paper, where the results of a least squares calculation described in Part I for all accepted experimental data are derived here tables and graphs to replace those of 1993.
Book

Radial Basis Functions: Theory and Implementations

TL;DR: In this paper, a radial basis function approximation on infinite grids is proposed, based on the wavelet method with radial basis functions (WBFF) with compact support, which is a general method for approximation and interpolation.
Journal ArticleDOI

The 1995 update to the atomic mass evaluation

TL;DR: In this article, a complete list of "mass excesses" is presented, which is an update of the similar values in the 1993 Atomic Mass Evaluation, and a list of the isomeric transition energies which are best determined from a combination of masses.
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