Two-Body Scattering in Force Field

  • V. V. Komarov
  • A. M. Popova
  • V. A. Shablov
Conference paper
Part of the Lecture Notes in Physics book series (LNP, volume 87)


The problem of two-body scattering in force field, as compared with the conventional finite-mass three-body problem [1], is featured by the presence of commutating operators of interaction. Namely, the Hamiltonian of the system is of the form
where the operators V1 and V2 describe the interaction of each particle with field. The presence of the commutating interaction potentials (independent subsystems) results in appearance of specific channel of reaction when particles 1 and 2 in their final states are simultaneously and independently scattered by the force center. The necessity of discriminating such channel of reaction was discussed in [2].


Force Center Specific Channel Total Wave Function Energy Shell Channel Wave 


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    L.D. Faddeev, Mathematical Aspects of the Three-Body Problem, in Quantum Scattering Theory.(Daniel Davy and Co.Inc.N.Y. 1965).Google Scholar
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    R.D. Amado, Phys. Rev. 158, 1414 (1967).ADSCrossRefGoogle Scholar
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    Chew G.F. Analytic S-matrix, Benjamin, 1966, N.Y.Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1978

Authors and Affiliations

  • V. V. Komarov
    • 1
  • A. M. Popova
    • 1
  • V. A. Shablov
    • 1
  1. 1.Institute of Nuclear PhysicsMoscow State UniversityMoscowUSSR

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