Relativistic effects in three-body bound states

Phys. Rev. C 33, 709 – Published 1 February 1986
W. Glöckle, T.-S. H. Lee, and F. Coester

Abstract

We formulate relativistic and nonrelativistic two-particle dynamics in such a manner that the two-body binding energies are the same for both. We then formulate and solve the relativistic Faddeev equations for a simple s-wave potential (Malfliet-Tjon V). The relativistic effects are small (about 3%) and reduce the three-body binding energy. The expectation value of the relativistic energy operator with the nonrelativistic wave function is a fairly good approximation, but approximate expressions involving expansions in powers of the momentum are shown to be quite unreliable.

DOI: http://dx.doi.org/10.1103/PhysRevC.33.709

  • Received 3 September 1985
  • Published in the issue dated February 1986

© 1986 The American Physical Society

Authors & Affiliations

W. Glöckle

  • Institut für Theoretische Physik, Ruhr-Universitat Bochum, Bochum, Federal Republic of Germany

T.-S. H. Lee and F. Coester

  • Physics Division, Argonne National Laboratory, Argonne, Illinois 60439

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