Analytic Properties of Three-Body Decay Amplitudes

15 August 1971

journal article
research article
Published by American Physical Society (APS) in Physical Review D

Vol. 4 (4) , 1032-1038
https://doi.org/10.1103/physrevd.4.1032

Abstract

We study the nature and location of the physical singularities of a weak three-body decay amplitude in perturbation theory (nonrelativistic). We find only the threshold singularities one would expect. These are most easily expressed if final momentum variables are scaled by the total energy.

Keywords

ANALYTIC FUNCTIONS
WEAK INTERACTION
DECAY
ANALYTIC FUNCTION
ELEMENTARY PARTICLES
PERTURBATION THEORY

This publication has 4 references indexed in Scilit:

Low-Energy Expansion for Elastic Three-Body Scattering
Physical Review Letters, 1970
Final-State Interaction Effects in Weak Three-Body Decays
Physical Review B, 1969
Pion-Pion Scattering and $K^{\pm} \to 3 π$ Decay
Physical Review B, 1960
New Test for $Δ I = \frac{1}{2}$ in $K^{+}$ Decay
Physical Review Letters, 1960