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SOME SINGULARITIES OF THE SCATTERING AMPLITUDE IN PERTURBATION THEORY (in Russian)

Journal Article · · Zhur. Eksptl'. i Teoret. Fiz.
OSTI ID:4012760
The asymptotic behavior of the position of the "open envelope" perturbation theory diagram singularities is studied for one of the invariants tending to infinity. It is shown that in the general case the "open envelope" has two singular curves. A method is developed for reducing the problem of determining the singularities of any perturbation theory diagram with four external lines to the problem of the "open envelope" diagram with certain effective masses of virtual particles. The effective mass minorants are determined. The results are applied in perturbation theory to analyze pi pi -, KK- and NN-scattering in the case when one of the invariants characterizing the scattering amplitude tends to infinity. It is found that under these conditions the pi pi -scattering amplitude does not possess any anomalous singularities in any perturbation theory approximation. Conditions are indicated which enable one in a number of cases to establish for KK- and NN-scattering amplitudes the absence of anomalous singularities in the perturbation theory diagram. (auth)
Research Organization:
Originating Research Org. not identified
NSA Number:
NSA-15-018703
OSTI ID:
4012760
Journal Information:
Zhur. Eksptl'. i Teoret. Fiz., Journal Name: Zhur. Eksptl'. i Teoret. Fiz. Vol. Vol: 40
Country of Publication:
Country unknown/Code not available
Language:
Russian

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Related Subjects

INTERACTIONS
KAONS
MATHEMATICS
NUCLEONS
PERTURBATION THEORY
PHYSICS
PIONS
SCATTERING
SCATTERING AMPLITUDE
SINGULARITY