Class of model problems in three-body quantum mechanics that admit exact solutions

Nurgali Zh. Takibayev

2008

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DOI 10.1134/s1063778808030083
Data confidence 70 medium
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Abstract

An approach to solving scattering problems in three-body systems for cases where the mass of one of the particles is extremely small in relation to the masses of the other two particles and where the pair potentials of interaction between the particles involved are separable is developed. Exact analytic solutions to such model problems are found for the scattering of a light particle on two fixed centers and on two interacting heavy particles. It is shown that new resonances and a dynamical resonance enhancement may appear in a three-body system.