Mass predictions from the Garvey-Kelson mass relations

Abstract

Part A: The transverse Garvey-Kelson mass relation represents a homogeneous third-order partial difference equation. Procedures are described for estimating masses of nuclei with N [ges] Z from the most general solution of this difference equation subject to a [chi]2 minimization, using the recent atomic mass adjustment of Wapstra, Audi, and Hoekstra as a boundary condition. A judicious division of the input data into subsets of neutron-rich and proton-rich nuclei had to be introduced to reduce systematic errors in long-range extrapolations. Approximately 5600 mass-excess values for nuclei with 2 [les] Z [les] 103, 4 [les] N [les] 157, and N [ges] Z (except N = Z = odd for A m [approximate] 103 keV.Part B: The charge-symmetric mass relation of Kelson and Garvey for estimating masses of nuclei with Z > N and T [ges] 1 is described. The calculations make use of the experimental Coulomb energy differences between mirror nuclei for A [les] 59 and of estimated values for A > 59. Some 250 mass-excess values have been calculated. The standard deviation for reproducing the known values is [sigma]m [approximate] 231 keV.