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Quasi-Potential Equations for a Complex Two-Particle System in the Context of Scalar Theories with Self-Action

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Abstract

Within the framework of the covariant simultaneous approach of quantum field theory, a complex system of two identical scalar particles with third- and fourth-order self-action is examined. Explicit forms of the retarded component of the Green's two-time function and of the energy-dependent interaction operator of the system are obtained in the lowest orders of perturbation theory. Three-dimensional quasi-potential equations for the relativistic wave function of a bound state are derived. Based on the results obtained, a complex system of two Higgs bosons is examined.

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REFERENCES

  1. Review of Particle Physics, Phys. Rev., D54, No. 1, 59–68 (1996).

  2. A. A. Bogush, Introduction to the Gauge Field Theory of Electroweak Interactions [in Russian], Nauka i Tekhnika, Minsk (1987).

    Google Scholar 

  3. T. P. Cheng and L. F. Lie, Gauge Theories in Elementary Particle Physics [Russian translation], Mir, Moscow (1987).

    Google Scholar 

  4. S. Dawson, Summer School in High-Energy Physics and Cosmology, Trieste (1998).

  5. M. Veltman, Phys. Lett., B139, No. 4, 307–309 (1984).

    Google Scholar 

  6. J. A. Grifols, Phys. Lett., B264, Nos. 1-2, 149–153 (1991).

    Google Scholar 

  7. A. A. Logunov and A. N. Tavkhelidze, Nuovo Cimento, 29, No. 2, 380–399 (1963).

    Google Scholar 

  8. A. N. Kvinikhidze and D. Ts. Stoyanov, Commun. JINR, E2-5746, Dubna (1971).

  9. R. N. Faustov, Ann. Phys., 78, No. 1, 176–189 (1973).

    Google Scholar 

  10. V. N. Kashpai, V. I. Savrin, and N. B. Skachkov, Teor. Mat. Fiz., 69, No. 3, 400–410 (1986).

    Google Scholar 

  11. E. A. Dey, V. N. Kapshai, and G. Yu. Tyumenkov, Acta Phys. Pol., B21, No. 6, 449–456 (1990).

    Google Scholar 

  12. V. N. Kapshai and T. A. Alferova, in: Proc. Eighth Annual Seminar on Nonlinear Phenomena in Complex Systems NPCS'99, Minsk (1999), pp. 114–119.

  13. V. N. Kapshai and T. A. Alferova, J. Phys., A32, 5329–5342 (1999).

    Google Scholar 

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Dey, E.A., Kapshai, V.N. Quasi-Potential Equations for a Complex Two-Particle System in the Context of Scalar Theories with Self-Action. Russian Physics Journal 46, 203–209 (2003). https://doi.org/10.1023/A:1024610400081

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  • DOI: https://doi.org/10.1023/A:1024610400081

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