Masses from an inhomogeneous partial difference equation with higher-order isospin contributions
In the present work, a mass equation obtained as the solution of an inhomogeneous partial difference equation is used to predict masses of unknown neutron-rich and proton-rich nuclei. The inhomogeneous source terms contain shell-dependent symmetry energy expressions (quadratic in isospin), and include, as well, an independently derived shell-model Coulomb energy equation which describes all known Coulomb displacement energies with a standarad deviation of sigma/sub c/ = 41 keV. Perturbations of higher order in isospin, previously recognized as a cause of systematic effects in long-range mass extrapolations, are also incorporated. The most general solutions of the inhomogeneous difference equation have been deduced from a chi/sup 2/-minimization procedure based on the recent atomic mass adjustment of Wapstra, Audi, and Hoekstra. Subjecting the solutions further to the condition of charge symmetry preserves the accuracy of Coulomb energies and allows mass predictions for nuclei with both Ngreater than or equal toZ and Z>N. The solutions correspond to a mass equation with 470 parameters. Using this equation, 4385 mass values have been calculated for nuclei with Agreater than or equal to16 (except N = Z = odd for A<40), with a standard deviation of sigma/sub m/ = 194 keV from the experimental masses. copyright 1988 Academic Press, Inc.
- Research Organization:
- Department of Physics, University of Michigan, Ann Arbor, Michigan 48109
- OSTI ID:
- 7124210
- Journal Information:
- At. Data Nucl. Data Tables; (United States), Vol. 39:2
- Country of Publication:
- United States
- Language:
- English
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NUCLEI
MASS
NUCLEAR MODELS
COULOMB ENERGY
FINITE DIFFERENCE METHOD
ISOSPIN
MASS FORMULAE
STATISTICAL MODELS
ENERGY
ITERATIVE METHODS
MATHEMATICAL MODELS
NUMERICAL SOLUTION
PARTICLE PROPERTIES
653001* - Nuclear Theory- Nuclear Structure
Moments
Spin
& Models