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Point interactions in the problem of three quantum particles with internal structure

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Abstract

A system of three quantum particles with internal structure in which the two-body interactions are point interactions and are described in terms of two-channel Hamiltonians is considered. It is established that in the cases when the parameters of the model are such that the total Hamiltonian of the three-particle system is semibounded the Faddeev equations are Fredholm equations. Boundary conditions are formulated for the differential Faddeev equations whose solutions are the scattering wave functions.

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Authors
  1. K. A. Makarov
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  2. V. V. Melezhik
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  3. A. K. Motovilov
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Additional information

Joint Institute for Nuclear Research, Dubna. Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 102, No. 2, pp. 258–282, February, 1995.

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Makarov, K.A., Melezhik, V.V. & Motovilov, A.K. Point interactions in the problem of three quantum particles with internal structure. Theor Math Phys 102, 188–207 (1995). https://doi.org/10.1007/BF01040400

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  • DOI: https://doi.org/10.1007/BF01040400

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