Mass predictions from the Garvey-Kelson mass relations

Journal Article · Fri Jul 01 04:00:00 EDT 1988 · At. Data Nucl. Data Tables; (United States)

DOI:https://doi.org/10.1016/0092-640X(88)90028-9· OSTI ID:6906957

Jaenecke, J; Masson, P J

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 Ngreater than or equal toZ from the most general solution of this difference equation subject to a chi/sup 2/ minimization, using the recent atomic mass adjustment of Wapstra, Audi, and Hoekstra as a boundary condition. A judicious division of the input data in 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 2less than or equal toZless than or equal to103, 4less than or equal toNless than or equal to157, and Ngreater than or equal toZ (except N = Z odd for A<40) have been calculated. The standard deviation for reproducing the known mass-excess values is sigma/sub m/approx. =103 keV.

• Research Organization: Department of Physics, University of Michigan, Ann Arbor, Michigan 48109
• OSTI ID: 6906957
• Journal Information: At. Data Nucl. Data Tables; (United States), Journal Name: At. Data Nucl. Data Tables; (United States) Vol. 39:2; ISSN ADNDA
• Country of Publication: United States
• Language: English

Related Subjects

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LIGHT NUCLEI
MASS
MASS FORMULAE
MATHEMATICAL MODELS
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NUCLEI
NUMERICAL SOLUTION
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