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T-Matrix Perturbation Theory for the Faddeev Equations

Stephen F. Becker* and David R. Harrington

  • Rutgers University, New Brunswick, New Jersey 07102

  • *Present address: Bucknell University, Lewisburg, Pa.

Phys. Rev. D 4, 411 – Published 15 July, 1971

DOI: https://doi.org/10.1103/PhysRevD.4.411

Abstract

A T-matrix perturbation theory for the Faddeev equations is developed in two different ways giving slightly differing results for the first-order correction to the ground-state energy of the three-body system, and both expressions differ from the result recently obtained by Fuda. The application of the theory to the system of three identical spinless particles is discussed.

References (8)

  1. L. D. Faddeev, Zh. Eksperim. i Teor. Fiz. 39, 1459 (1960) [Soviet Phys. JETP 12, 1014 (1961)]
  2. M. G. Fuda, Phys. Rev. 166, 1064 (1968)
  3. D. R. Harrington, Phys. Rev. 139, B691 (1965)
  4. S. F. Becker, Ph.D. thesis, 1969 (unpublished)
  5. R. J. Yaes, Nucl. Phys. A131, 623 (1969)
  6. C. Schwartz, Ann. Phys. (N. Y.) 42, 367 (1967)
  7. W. F. Ford, J. Math. Phys. 7, 626 (1966)
  8. Omitted endnote

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