Unitary four-body model

Journal Article · Thu Apr 15 04:00:00 EST 1976 · Phys. Rev., D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.13.2255· OSTI ID:7354558

Fonseca, A C; Shanley, P E

A field-theoretic model describing nonrelativistic four-body scattering processes is developed. The model is related to Bronzan's extended Lee model, but the allowed interactions are restricted so that the resulting dynamical equations are as simple as possible, yet still exact. Two elementary particles n and a are introduced with the couplings n + n in equilibrium D and a + a in equilibrium. Three-particle processes are generated by the additional coupling D + a in equilibrium ..cap alpha.., leading to the possible three-body reactions D + a ..-->.. D + a and D + a ..-->.. n + n + a. The four-body sector then involves the 2 ..-->.. 2 reactions a..cap alpha.. ..-->.. a..cap alpha.. and a..cap alpha.. ..-->.. CD, the 2 ..-->.. 3 reactions a..cap alpha.. ..-->.. Daa and a..cap alpha.. ..-->.. Cnn, and the 2 ..-->.. 4 reaction a..cap alpha.. ..-->.. nnaa. Off-shell integral equations are obtained for the 2 ..-->.. 2 amplitudes, and from these, expressions for the 2 ..-->.. 3 and 2 ..-->.. 4 amplitudes are constructed. Possible applications and generalizations of the model are discussed. (AIP)

• Research Organization: Department of Physics, University of Notre Dame, Notre Dame, Indiana 46556
• OSTI ID: 7354558
• Journal Information: Phys. Rev., D; (United States), Journal Name: Phys. Rev., D; (United States) Vol. 13:8; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
AMPLITUDES
COUPLING
DISPERSION RELATIONS
FIELD THEORIES
FOUR-BODY PROBLEM
LEE MODEL
MANY-BODY PROBLEM
MATHEMATICAL MODELS
PARTICLE MODELS
SCATTERING AMPLITUDES
SYMMETRY
UNITARY SYMMETRY