Relativistic few-body problem. II. Three-body equations and three-body forces

Journal Article · Mon Nov 01 04:00:00 EST 1982 · Phys. Rev. C; (United States)

DOI:https://doi.org/10.1103/PhysRevC.26.2226· OSTI ID:6790695

Gross, F

Examination of the sum of all ladder and crossed ladder exchanges between three particles leads to a set of relativistic three-body equations of the Faddeev type in which two of the three particles are restricted to their mass shell. The choice of which two particles is on shell at a given instant is uniquely determined by the requirement that they be spectators either before or after the interaction. It is shown that these equations satisfy the cluster property, and the two-body amplitudes which drive the equations are known in principle. Three-body unitarity is proved. Three-body forces which arise from the underlying dynamics are discussed, classified, and estimated numerically for a spinless example. It is found that the three-body forces tend to cancel to some extent, are sensitive to the details of the dynamics, and that contributions to such forces, primarily of relativistic origin, can be important.

• Research Organization: Department of Physics, Carnegie-Mellon University, Pittsburgh, Pennsylvania 15213
• OSTI ID: 6790695
• Journal Information: Phys. Rev. C; (United States), Journal Name: Phys. Rev. C; (United States) Vol. 26:5; ISSN PRVCA
• Country of Publication: United States
• Language: English

Related Subjects

645500* -- High Energy Physics-- Scattering Theory-- (-1987)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
AMPLITUDES
CLUSTER MODEL
ENERGY RANGE
EQUATIONS
FADDEEV EQUATIONS
FUNCTIONS
GREEN FUNCTION
LADDER APPROXIMATION
MANY-BODY PROBLEM
MATHEMATICAL MODELS
NUCLEAR MODELS
RELATIVISTIC RANGE
SCATTERING AMPLITUDES
SHELL MODELS
THREE-BODY PROBLEM
UNITARITY