Effective interaction for relativistic mean-field theories of nuclear structure

Journal Article · Mon Jun 01 00:00:00 EDT 1987 · Phys. Rev. C; (United States)

DOI:https://doi.org/10.1103/PhysRevC.35.2299· OSTI ID:6476303

Ai, H B; Celenza, L S; Harindranath, A; Shakin, C M

We construct an effective interaction, which when treated in a relativistic Hartree-Fock approximation, reproduces rather accurately the nucleon self-energy in nuclear matter and the Migdal parameters obtained via relativistic Brueckner-Hartree-Fock calculations. This effective interaction is constructed by adding Born terms, describing the exchange of pseudoparticles, to the Born terms of the Dirac-Hartree-Fock analysis. The pseudoparticles have relatively large masses and either real or imaginary coupling constants. (For example, exchange of a pseudo-sigma with an imaginary coupling constant has the effect of reducing the scalar attraction arising from sigma exchange while exchange of a pseudo-omega with an imaginary coupling constant has the effect of reducing the repulsion arising from omega exchange. The terms beyond the Born term in the case of pion exchange are well simulated by pseudo-sigma exchange with a real coupling constant.) The effective interaction constructed here may be used for calculations of the properties of finite nuclei in a relativistic Hartree-Fock approximation.

• Research Organization: Department of Physics and Center for Nuclear Theory, Brooklyn College of the City University of New York, Brooklyn, New York 11210
• OSTI ID: 6476303
• Journal Information: Phys. Rev. C; (United States), Vol. 35:6
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
NUCLEAR STRUCTURE
MEAN-FIELD THEORY
COUPLING CONSTANTS
DIRAC EQUATION
EFFECTIVE RANGE THEORY
HARTREE-FOCK METHOD
LADDER APPROXIMATION
MASS
MATRIX ELEMENTS
NUCLEAR MATTER
NUCLEONS
RELATIVITY THEORY
SELF-ENERGY
SPINORS
BARYONS
DIFFERENTIAL EQUATIONS
ELEMENTARY PARTICLES
ENERGY
EQUATIONS
FERMIONS
FIELD THEORIES
GENERAL RELATIVITY THEORY
HADRONS
MATTER
PARTIAL DIFFERENTIAL EQUATIONS
WAVE EQUATIONS
653001* - Nuclear Theory- Nuclear Structure
Moments
Spin
& Models
653002 - Nuclear Theory- Nuclear Matter