COMPLEX SINGULARITIES IN PRODUCTION AMPLITUDES

Journal Article · Tue Oct 01 04:00:00 EDT 1963 · Journal of Mathematical Physics (New York) (U.S.)

DOI:https://doi.org/10.1063/1.1703897· OSTI ID:4629859

Bessis, D; Pham, F

It is shown for a simple model of production that Watson's scheme for final-state interaction may be good even though the amplitude has complex singularities. The method used consists of continuing analytically partialwave dispersion relations. Stress is put upon the necessity of correctly choosing the cuts starting at the complex singularities. The safest choice in this approach is to take the cut along the line on which the series of partial waves diverges. A simple geometrical recipe is given to see the evolution of this line, the appearance of an anomalous threshold, and a complex singularity. (auth)

• Research Organization: Centre d'Etudes Nucleaires Saclay, France; Service de Physique Mathematique, Gif-sur-Yvette, France
• Sponsoring Organization: USDOE
• NSA Number: NSA-17-037948
• OSTI ID: 4629859
• Journal Information: Journal of Mathematical Physics (New York) (U.S.), Journal Name: Journal of Mathematical Physics (New York) (U.S.) Vol. Vol: 4; ISSN JMAPA
• Country of Publication: Country unknown/Code not available
• Language: English

Related Subjects

CONFIGURATION
CROSS SECTIONS
DISPERSION THEORY
ENERGY LEVELS
INTERACTIONS
MATHEMATICS
NUMERICALS
PARTICLE MODELS
PHYSICS
PRODUCTION
QUANTUM MECHANICS