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 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.
- Authors:
- Publication Date:
- Research Org.:
- Department of Physics, University of Michigan, Ann Arbor, Michigan 48109
- OSTI Identifier:
- 6906957
- Resource Type:
- Journal Article
- Journal Name:
- At. Data Nucl. Data Tables; (United States)
- Additional Journal Information:
- Journal Volume: 39:2
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 73 NUCLEAR PHYSICS AND RADIATION PHYSICS; INTERMEDIATE MASS NUCLEI; MASS; NUCLEAR MODELS; LIGHT NUCLEI; FINITE DIFFERENCE METHOD; MASS FORMULAE; SINGLE-PARTICLE MODEL; STATISTICAL MODELS; ITERATIVE METHODS; MATHEMATICAL MODELS; NUCLEI; NUMERICAL SOLUTION; PARTICLE MODELS; 653001* - Nuclear Theory- Nuclear Structure, Moments, Spin, & Models
Citation Formats
Jaenecke, J, and Masson, P J. Mass predictions from the Garvey-Kelson mass relations. United States: N. p., 1988.
Web. doi:10.1016/0092-640X(88)90028-9.
Jaenecke, J, & Masson, P J. Mass predictions from the Garvey-Kelson mass relations. United States. https://doi.org/10.1016/0092-640X(88)90028-9
Jaenecke, J, and Masson, P J. 1988.
"Mass predictions from the Garvey-Kelson mass relations". United States. https://doi.org/10.1016/0092-640X(88)90028-9.
@article{osti_6906957,
title = {Mass predictions from the Garvey-Kelson mass relations},
author = {Jaenecke, J and Masson, P J},
abstractNote = {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.},
doi = {10.1016/0092-640X(88)90028-9},
url = {https://www.osti.gov/biblio/6906957},
journal = {At. Data Nucl. Data Tables; (United States)},
number = ,
volume = 39:2,
place = {United States},
year = {Fri Jul 01 00:00:00 EDT 1988},
month = {Fri Jul 01 00:00:00 EDT 1988}
}