Applications of a relativistic quantum field theory to the nuclear many-body problem

Thesis/Dissertation · Wed Jan 01 04:00:00 EST 1986

OSTI ID:6461839

Price, C E

A relativistic mean field model was investigated through three separate applications. In the first of these, the electric dipole sum rule was evaluated using a relativistic formulation and consistently determined single particle orbitals. The resulting predictions for the total integrated photon absorption cross section were in qualitative agreement with experiment. Such agreement was difficult to obtain with standard nonrelativistic techniques. In the second application, a relativistic schematic model for nuclear structure was developed. Although the model provided certain insights and suggested interesting areas for further investigation, due to the more complicated nature of the relativistic model it did not have the same power as previous nonrelativistic models for explaining the relationship between the energy shifts of certain excited states and the corresponding transition strengths. Finally, in the third application, numerical techniques for obtaining shell model orbitals for deformed nuclei in a relativistic mean field model were developed and applied to a variety of nuclei. In general, this procedure provides self consistently determined meson means fields and single particle orbitals for use in other calculations. For the nuclei considered here, the results were in qualitative agreement with both previous nonrelativistic calculations and experiment.

• Research Organization: Indiana Univ., Bloomington (USA)
• OSTI ID: 6461839
• Country of Publication: United States
• Language: English

Related Subjects

653001* -- Nuclear Theory-- Nuclear Structure
Moments
Spin
& Models
653003 -- Nuclear Theory-- Nuclear Reactions & Scattering
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
CAPTURE
CROSS SECTIONS
DEFORMED NUCLEI
ENERGY LEVELS
ENERGY RANGE
ENERGY-LEVEL TRANSITIONS
EQUATIONS
FIELD THEORIES
MANY-BODY PROBLEM
MATHEMATICAL MODELS
MEAN-FIELD THEORY
NUCLEAR MODELS
NUCLEAR REACTIONS
NUCLEAR STRUCTURE
NUCLEI
PHOTONUCLEAR REACTIONS
QUANTUM FIELD THEORY
RELATIVISTIC RANGE
SUM RULES