Finite nucleus Dirac mean field theory and random phase approximation using finite /ital B/ splines

Journal Article · Sat Jul 01 00:00:00 EDT 1989 · Phys. Rev. C; (United States)

DOI:https://doi.org/10.1103/PhysRevC.40.399· OSTI ID:6063090

McNeil, J A; Furnstahl, R J; Rost, E; Shepard, J R

We calculate the finite nucleus Dirac mean field spectrum in a Galerkinapproach using finite basis splines. We review the method and present resultsfor the relativistic sigma-..omega.. model for the closed-shell nuclei/sup 16/O and /sup 40/Ca. We study the convergence of themethod as a function of the size of the basis and the closure properties of thespectrum using an energy-weighted dipole sum rule. We apply the method to theDirac random-phase-approximation response and present results for the isoscalar1/sup /minus// and 3/sup /minus// longitudinal form factors of/sup 16/O and /sup 40/Ca. We also use a /ital B/-splinespectral representation of the positive-energy projector to evaluate partialenergy-weighted sum rules and compare with nonrelativistic sum rule results.

• Research Organization: Department of Physics, Colorado School of Mines, Golden, Colorado 80401(US); Department of Physics, University of Maryland, College Park, Maryland 20742; Department of Physics, University of Colorado, Boulder, Colorado 80309
• OSTI ID: 6063090
• Journal Information: Phys. Rev. C; (United States), Vol. 40:1
• Country of Publication: United States
• Language: English

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73 NUCLEAR PHYSICS AND RADIATION PHYSICS
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ENERGY LEVELS
OXYGEN 16
BOUND STATE
DIRAC EQUATION
FORM FACTORS
GREEN FUNCTION
HYDRODYNAMIC MODEL
MAGNETIC MOMENTS
MANY-BODY PROBLEM
MEAN-FIELD THEORY
PARITY
RANDOM PHASE APPROXIMATION
RELATIVITY THEORY
RENORMALIZATION
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SUM RULES
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ANGULAR MOMENTUM
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DIFFERENTIAL EQUATIONS
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EVEN-EVEN NUCLEI
FIELD THEORIES
FUNCTIONS
GENERAL RELATIVITY THEORY
ISOTOPES
LIGHT NUCLEI
MATHEMATICAL MODELS
NUCLEAR MODELS
NUCLEI
OXYGEN ISOTOPES
PARTIAL DIFFERENTIAL EQUATIONS
PARTICLE MODELS
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STATISTICAL MODELS
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