Updated mass predictions from the Garvey-Kelson mass relations

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Abstract

Part A, Neutron-Rich Nuclides, describes the procedures for estimating masses of neutron-rich nuclei from the transverse Garvey-Kelson mass relation. This relation represents a homogeneous partial difference equation. The most general solutions have been subjected to a χ2-minimization procedure (boundary condition) based on the new atomic mass adjustment of Wapstra and Bos. The resulting solution can be viewed as a many-parameter mass equation with about 500 parameters. About 5000 mass values have been calculated for nuclei with 2 ≤ Z ≤ 100, 4 ≤ N ≤ 156, and N > Z (or N = Z= even). The standard deviation between calculated and experimental mass-excess values is σm = 118 keV.

Part B, Proton-Rich Nuclides, describes the procedure for estimating masses of proton-rich nuclei with T ≥ 1 based on the charge-symmetric mass relation of Kelson and Garvey. Use is made of the experimental Coulomb energy differences between T = 12 mirror nuclei (A ≤ 55) together with a few estimated values (57 ≤ A ≤ 71). Mass values have been calculated for about 120 nuclei with 1 ≤ T ≤ 52 and A ≤ 70. The standard deviation between calculated and experimental mass-excess values is σm ≈ 100 keV.

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Supported in part by the U.S. Energy Research and Development Administration, Contract E(11-1)-2167, and by a research grant from the Michigan Memorial Phoenix Project, University of Michigan

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