Optical-model potential in a relativistic quantum field model

Journal Article · Sat Nov 01 04:00:00 EST 1980 · Phys. Rev., C; (United States)

DOI:https://doi.org/10.1103/PhysRevC.22.2027· OSTI ID:6822742

Jaminon, M; Mahaux, C; Rochus, P

The average nucleon-nucleus potential at low and medium energy is investigated in the framework of a relativistic quantum field model. Using the same input parameters as Brockmann in his recent study of nuclear ground states, we calculate the self-consistent relativistic Hartree potential at positive energy in the case of infinite nuclear matter and of /sup 16/O and /sup 40/Ca. This potential is the sum of a scalar operator and of the fourth component of a vector operator. We construct its Schroedinger-equivalent potential by eliminating the small component of the Dirac spinor. The central part of this Schroedinger-equivalent potential is in fair agreement with empirical values at low and intermediate energy. Particular attention is paid to the intermediate energy domain, in which the calculated potential is repulsive in the nuclear interior and attractive at the nuclear surface. This is in keeping with some empirical evidence and is similar to results found in the framework of the nonrelativistic Brueckner-Hartree-Fock approximation. The spin-orbit potential of the relativistic Hartree model is also in good agreement with empirical values.

• Research Organization: Institut de Physique, Universite de Liege, B4000 Liege 1, Belgium
• OSTI ID: 6822742
• Journal Information: Phys. Rev., C; (United States), Journal Name: Phys. Rev., C; (United States) Vol. 22:5; ISSN PRVCA
• Country of Publication: United States
• Language: English

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73 NUCLEAR PHYSICS AND RADIATION PHYSICS
ALKALINE EARTH ISOTOPES
BINDING ENERGY
BOSON-EXCHANGE MODELS
CALCIUM 40
CALCIUM ISOTOPES
CANONICAL TRANSFORMATIONS
COUPLING
DIFFERENTIAL EQUATIONS
DIRAC EQUATION
ENERGY
EQUATIONS
EVEN-EVEN NUCLEI
FIELD THEORIES
FOLDY-WOUTHUYSEN TRANSFORM
GENERAL RELATIVITY THEORY
HAMILTONIANS
HARTREE-FOCK METHOD
INTERMEDIATE COUPLING
ISOTOPES
L-S COUPLING
LIGHT NUCLEI
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
MATTER
NUCLEAR MATTER
NUCLEAR MODELS
NUCLEAR POTENTIAL
NUCLEI
NUCLEON-NUCLEON POTENTIAL
OBE MODEL
OPTICAL MODELS
OXYGEN 16
OXYGEN ISOTOPES
PARTICLE MODELS
PERIPHERAL MODELS
POTENTIALS
QUANTUM FIELD THEORY
QUANTUM OPERATORS
RELATIVITY THEORY
SHELL MODELS
SPINORS
STABLE ISOTOPES
TRANSFORMATIONS
WAVE EQUATIONS