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Few-Body Systems

, 60:48 | Cite as

Model with Coupled Internal and External Channels for 2N and 3N Systems

  • V. N. Pomerantsev
  • V. I. Kukulin
  • O. A. RubtsovaEmail author
Article
  • 22 Downloads
Part of the following topical collections:
  1. Ludwig Faddeev Memorial Issue

Abstract

A Faddeev-type formalism for a three-body problem with two-body interactions containing internal degrees of freedom is introduced. The Faddeev equations for the basic objects such as total resolvent, scattering wave function and transition operators are derived explicitly. As a particular example, the dibaryon model for NN interaction with internal channel corresponding to a six-quark bag is considered. It is shown that this interaction model allows to reproduce both real and imaginary parts of some NN partial phase shifts at energies up to 600 MeV. The developed formalism can be also applied to other quantum systems.

Notes

Acknowledgements

Authors thank Prof. S.A. Moszkowski for useful comments and suggestions. Also, we are grateful to Dr. M.N. Platonova, the results presented in Sect. 4 have been obtained in collaboration with her. The work has been partially supported by the RFBR Grants Nos. 19-02-00011 and 19-02-00014.

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Copyright information

© Springer-Verlag GmbH Austria, part of Springer Nature 2019

Authors and Affiliations

  • V. N. Pomerantsev
    • 1
  • V. I. Kukulin
    • 1
  • O. A. Rubtsova
    • 1
    Email author
  1. 1.Skobeltsyn Institute of Nuclear PhysicsMoscow State UniversityMoscowRussia

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