Self-consistent Hartree description of deformed nuclei in a relativistic quantum field theory

Journal Article · Wed Jul 01 04:00:00 EDT 1987 · Phys. Rev. C; (United States)

DOI:https://doi.org/10.1103/PhysRevC.36.354· OSTI ID:6396859

Price, C E; Walker, G E

Relativistic Hartree orbitals for nonspherical (even-even) nuclei have been calculated self-consistently from a Lagrangian field theory using the mean field approximation. All parameters in this model are determined from the properties of infinite nuclear matter, so there are no parameters which can be adjusted in the calculation of the orbitals. The energy levels, rms radii, and quadrupole moments are in qualitative agreement with earlier nonrelativistic calculations and with experiment; however, the overall deformations (which are fixed by the self-consistency) are somewhat smaller than those obtained experimentally and from nonrelativistic calculations. The difference may be due to the large compressibility characteristic of relativistic mean field calculations. These orbitals and the self-consistently determined mean fields provide a framework for a detailed investigation of the compressibility as well as other relativistic effects.

• Research Organization: Physics Department and Nuclear Theory Center, Indiana University, Bloomington, Indiana 47405
• OSTI ID: 6396859
• Journal Information: Phys. Rev. C; (United States), Journal Name: Phys. Rev. C; (United States) Vol. 36:1; ISSN PRVCA
• Country of Publication: United States
• Language: English

Related Subjects

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Moments
Spin
& Models
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
DEFORMED NUCLEI
DIFFERENTIAL EQUATIONS
DIRAC EQUATION
ENERGY LEVELS
EQUATIONS
EVEN-EVEN NUCLEI
FIELD THEORIES
HARTREE-FOCK METHOD
LAGRANGIAN FIELD THEORY
MATHEMATICAL MODELS
MATTER
MEAN-FIELD THEORY
NUCLEAR MATTER
NUCLEAR MODELS
NUCLEAR PROPERTIES
NUCLEAR RADII
NUCLEI
PARTIAL DIFFERENTIAL EQUATIONS
QUADRUPOLE MOMENTS
QUANTUM FIELD THEORY
SELF-CONSISTENT FIELD
SHELL MODELS
VACUUM POLARIZATION
WAVE EQUATIONS