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Solutions of a bethe-salpeter equation

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Abstract

We study systematically and exhibit the Lorentz symmetry of the Bethe-Salpeter equation in the light-like case for two scalar quarks of different masses interacting via the exchange of a scalar photon. We develop a new approach for solving the eigenvalue problem of the equation for the general case (not only the light-like). Our method permits accurate analytic expressions for the spectrum and the wave functions.

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References

  1. Bateman Manuscript Project (1954).Higher Transcendental Functions, Vol. 3, p. 57. McGraw-Hill, New York.

  2. Chung, V. and Snider, D. R. (1967).Physical Review,162, 1639.

  3. Cutkosky, R. E. (1954).Physical Review,96, 1134.

  4. Delbourgo, R., Salam, A. and Strathdee, J. (1966).Physics Letters 21, 455.

  5. Heun, K. (1889).Mathematische Annalen,33, 161.

  6. Kummer, W. (1964).Nuovo cimento,31, 219.

  7. Kyriakopoulos, E. (1968).Physical Review 174, 1846.

  8. Landau, L. D. and Lifshitz, E. M. (1958).Quantum Mechanics, p. 69. Pergamon Press, Oxford.

  9. Nakanishi, N. (1965).Physical Review 138B, 1182.

  10. Nakanishi, N. (1969).Progress of Theoretical Physics (Suppl.), No. 43.

  11. Salpeter, E. E. and Bethe, H. A. (1951).Physical Review,84, 1232.

  12. Seto, K. (1968).Progress of Theoretical Physics 39, 453.

  13. Seto, K. (1969).Progress of Theoretical Physics,41, 1340.

  14. Wick, G. C. (1954).Physical Review,96, 1124.

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Hadjioannou, F.T., Kyriakopoulos, E. Solutions of a bethe-salpeter equation. Int J Theor Phys 5, 199–210 (1972). https://doi.org/10.1007/BF00670511

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Keywords

  • Wave Function
  • Field Theory
  • Elementary Particle
  • Quantum Field Theory
  • Eigenvalue Problem