Singularities in four-body final-state amplitudes

Journal Article · Fri Dec 01 04:00:00 EST 1978 · Phys. Rev., D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.18.4264· OSTI ID:6415781

Adhikari, S K

Like three-body amplitudes, four-body amplitudes have subenergy threshold singularities over and above total-energy singularities. In the four-body problem we encounter a new type of subenergy singularity besides the usual two- and three-body subenergy threshold singularities. This singularity will be referred to as ''independent-pair threshold singularity'' and involves pair-subenergy threshold singularities in each of the two independent pair subenergies in four-body final states. We also study the particularly interesting case of resonant two- and three-body interactions in the four-body isobar model and the rapid (singular) dependence of the isobar amplitudes they generate in the four-body phase space. All these singularities are analyzed in the multiple-scattering formalism and it is shown that they arise from the ''next-to-last'' rescattering and hence may be represented correctly by an approximate amplitude which has that rescattering.

• Research Organization: Departamento de Fisica, Universidade Federal de Pernambuco, 50.000 Recife, PE, Brazil
• OSTI ID: 6415781
• Journal Information: Phys. Rev., D; (United States), Journal Name: Phys. Rev., D; (United States) Vol. 18:11; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

645500* -- High Energy Physics-- Scattering Theory-- (-1987)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
AMPLITUDES
BOSONS
DECAY
ENERGY
FOUR-BODY PROBLEM
ISOBAR MODEL
MANY-BODY PROBLEM
MATHEMATICAL MODELS
MULTIPLE SCATTERING
PARTICLE MODELS
RESCATTERING
SCATTERING
SCATTERING AMPLITUDES
SINGULARITY
THRESHOLD ENERGY