Abstract

Publisher Summary This chapter discusses the resonance phenomena by a soluble three-body model and presents a three-body model suitable for the investigation of the resonance phenomena. This model consists of three particles; two particles are with finite and equal masses, and the third particle, the core (C), is an infinitely heavy one. The interactions between the light particles and the core are chosen to allow two bound states or one bound state and one single particle resonance state in the subsystems, and the particles are called “neutrons” (n) or “protons” (p), respectively. The disagreement between the approximate and exact solutions increases when the n–n interaction strength increases. The chapter also describes the C+p+n system in which three kinds of many-particle resonance can occur: (1) a potential, (2) a quasi-compound, and (3) a compound ones. The resonance is called potential (quasi-compound) resonance if one of the light particles is in the lower-lying state and the other one is in a single particle resonance state.

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