- Access by Xinjiang University
Solution of a Relativistic Bethe-Salpeter Equation in the Whole Plane
Phys. Rev. D 3, 1335 – Published 15 March, 1971
DOI: https://doi.org/10.1103/PhysRevD.3.1335
Abstract
Using an appropriate conformal mapping of the cut plane into a unit circle, we find expansions of the solutions of the homogeneous and inhomogeneous Bethe-Salpeter equation in the Wick-Cutkosky model which converge for arbitrary complex . Besides an extensive investigation of special features of the model, such as the behavior of Regge trajectories in the whole energy range and the high-energy behavior in the direct channel, we draw some conclusions on important properties of more general cases, and analyze the difference from the nonrelativistic case and the influence of those inelasticities which are already incorporated in the ladder approximation.
References (18)
- C. Schwartz, Phys. Rev. 137, B717 (1965)
- C. Schwartz and C. Zemach, Phys. Rev. 141, 1451 (1966)
- K. Ladanyi, Nuovo Cimento 56A, 173 (1968) ibid.61A, 173 (1969)
- V. Chung and D. R. Snider, Phys. Rev. 162, 1639 (1967)
- P. Narayanaswamy and A. Pagnamenta, Nuovo Cimento 53A, 635 (1968)
- W. B. Kaufmann, Phys. Rev. 187, 2051 (1969)
- E. zur Linden, Nuovo Cimento 63A, 181 (1969)
- G. C. Wick, Phys. Rev. 96, 1124 (1954)
- R. E. Cutkosky, Phys. Rev. 96, 1135 (1954)
- E. zur Linden, Nuovo Cimento 63A, 193 (1969)
- E. zur Linden, Nuovo Cimento 65A, 197 (1970)
- [9,11]
- [10]
- R. Gatto and P. Menotti, Phys. Letters 28B, 668 (1969)
- R. Gatto and P. Menotti, CERN Report No. TH 1134 (unpublished)
Omitted endnote
- P. Breitenlohner and E. zur Linden, Nuovo Cimento 66A, 47 (1970)
- J. Schwinger, J. Math. Phys. 5, 1606 (1964)