Consistent three-nucleon forces in the nuclear many-body problem

Journal Article · Tue Aug 01 00:00:00 EDT 1989 · Physical Review (Section) C: Nuclear Physics; (USA)

DOI:https://doi.org/10.1103/PhysRevC.40.1040· OSTI ID:5466776

Grange, P; Lejeune, A; Martzolff, M; Mathiot, J ^[1]

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1. Institut Laue Langevin, F-38042 Grenoble CEDEX, France Universite de Liege, Institut de Physique au Sart-Tilman B.5, B-4001 Liege 1, Belgium Centre de Recherche Nucleaire, F-67037 Strasbourg, France Institut de Physique Nucleaire, Division de Physique Theorique, F-91406 Orsay CEDEX, France (FR)

Describing an assembly of an infinite number of nucleons in interaction via a two-body potential as a nonrelativistic many-body problem in the first place, we envisage corrections to this picture due to suppressed degrees of freedom at the level of the two-body potential. At variance with relativistic many-body theory, the solution of the nonrelativistic problem with a two-body potential only is sufficiently under control at present so that evaluating corrections in this framework is of particular interest. These corrections come primarily from additional three-body forces either due to finite-density effects (Pauli blocking of fermions) or are of genuine origin: relativistic dynamical processes and effects from the intrinsic structure of the nucleon. Recalling the successful treatment of electromagnetic interactions in nuclei in terms of meson-exchange currents, we establish novel consistency requirements between the initial two-body force and the well-identified residual three-body force. In this way no new parameters enter in the three-body force, save for the controversial mass of the fictitious scalar {sigma}'' meson. We show further that the nucleon-antinucleon pair term required in the analysis of meson-exchange currents has a genuine three-body counterpart resulting from time-ordered diagrams containing a single {ital Z} branch. Its contribution to the energy per particle is repulsive and varies with a high power of the density. Thereby we obtain the important saturating effect present in relativistic mean-field approaches. We envisage next the role of the first radial nucleon resonance {ital N}{sup *}((1/2,1)/2) (Roper resonance) in inducing a specific three-body force. The meson-nucleon-Roper coupling constants and form factors are evaluated in a relativistic quark model.

• OSTI ID: 5466776
• Journal Information: Physical Review (Section) C: Nuclear Physics; (USA), Vol. 40:2; ISSN 0556-2813
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
NUCLEON-NUCLEON INTERACTIONS
MANY-BODY PROBLEM
BINDING ENERGY
BOSON-EXCHANGE MODELS
COUPLING CONSTANTS
EQUATIONS OF STATE
FORM FACTORS
MEAN-FIELD THEORY
NUCLEAR FORCES
NUCLEAR MATTER
NUCLEON-NUCLEON POTENTIAL
QUARK MODEL
RELATIVITY THEORY
THREE-BODY PROBLEM
BARYON-BARYON INTERACTIONS
COMPOSITE MODELS
ENERGY
EQUATIONS
FIELD THEORIES
GENERAL RELATIVITY THEORY
HADRON-HADRON INTERACTIONS
INTERACTIONS
MATHEMATICAL MODELS
MATTER
PARTICLE INTERACTIONS
PARTICLE MODELS
PARTICLE PROPERTIES
PERIPHERAL MODELS
POTENTIALS
653001* - Nuclear Theory- Nuclear Structure
Moments
Spin
& Models
653002 - Nuclear Theory- Nuclear Matter