Singular cores in the three-body problem. III. Unique equations

Journal Article · Sat May 01 04:00:00 EDT 1976 · Phys. Rev., C; (United States)

DOI:https://doi.org/10.1103/PhysRevC.13.1835· OSTI ID:7194825

Brayshaw, D D

Three-particle scattering theory is reexamined for interactions which contain singular cores in a finite number of two-body partial waves. It is shown that the Faddeev equations do not possess a unique solution for the corresponding t matrix, and hence, cannot be used directly to examine ''realistic'' singular core models of the N-N interaction. For the special case of a pure boundary condition model, alternative one-dimensional equations are derived based on the Schrodinger and Faddeev representations. These are shown to be completely equivalent, and to uniquely specify the three-body observables. The Faddeev version is shown to be a special case of the author's boundary condition formalism. Equations suitable for realistic models which include potential tails are presented. (AIP)

• Research Organization: Stanford Linear Accelerator Center, Stanford University, Stanford, California 94305
• OSTI ID: 7194825
• Journal Information: Phys. Rev., C; (United States), Journal Name: Phys. Rev., C; (United States) Vol. 13:5; 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
BARYON-BARYON INTERACTIONS
BOUNDARY CONDITIONS
EQUATIONS
FADDEEV EQUATIONS
HADRON-HADRON INTERACTIONS
HARD-CORE POTENTIAL
INTERACTIONS
MANY-BODY PROBLEM
MATRICES
NUCLEAR POTENTIAL
NUCLEON-NUCLEON INTERACTIONS
PARTIAL WAVES
PARTICLE INTERACTIONS
S MATRIX
S WAVES
SCATTERING
THREE-BODY PROBLEM