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System of differential equations in the momentum space for a three-body problem

  • Proceedings of the LVI International Conference On Nuclear Spectroscopy and Nuclear Structure “NUCLEUS-2006”
  • Published:
Bulletin of the Russian Academy of Sciences: Physics Aims and scope

Abstract

A form of three-boson Skornyakov-Ter-Martirosyan equations differential in the momentum space is proposed. This form makes it possible to directly use the Danilov condition for self-adjointness of the three-particle Hamiltonian with zero-range pair interactions. The numerical solution for the system of differential equations of the Heun class is compared with the solutions for the Faddeev equations for the problem of determining the helium trimer spectrum.

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Authors and Affiliations

  1. Institute of Nuclear Physics, National Nuclear Center of the Republic of Kazakhstan, Almaty, 480082, Kazakhstan, Russia

    F. M. Pen’kov

  2. Physikalisches Institut, Universität Bonn, Bonn, Germany

    W. Sandhas

Authors
  1. F. M. Pen’kov
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  2. W. Sandhas
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Additional information

Original Russian Text © F.M. Pen’kov, W. Sandhas, 2007, published in Izvestiya Rossiiskoi Akademii Nauk. Seriya Fizicheskaya, 2007, Vol. 71, No. 6, pp. 826–830.

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Pen’kov, F.M., Sandhas, W. System of differential equations in the momentum space for a three-body problem. Bull. Russ. Acad. Sci. Phys. 71, 798–802 (2007). https://doi.org/10.3103/S1062873807060093

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  • DOI: https://doi.org/10.3103/S1062873807060093

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