A model based on ladder diagrams in a λφ³ theory is used to study the first daughter trajectory in the scattering of unequal-mass particles. It is found that the daughter pole moves towards the physical region less rapidly than the leading pole, and develops a smaller imaginary part at the two-particle threshold. The motion of the daughter pole is determined primarily by three-particle scattering processes. As a consequence, a model which fails to treat three-particle scattering accurately cannot give a detailed picture of the motion.
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Arthur R. Swift (1967) studied this question.
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