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Covariant two-particle wave functions for model quasipotentials that admit exact solutions. I. Solutions in momentum space

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Literature Cited

  1. A. A. Logunov and A. N. Tavkhelidze, Nuovo Cimento,29, 380 (1963).

    Google Scholar 

  2. V. G. Kadyshevsky, Nucl. Phys. B,6, 125 (1968).

    Google Scholar 

  3. V. A. Matveev, R. M. Muradyan, and A. N. Tavkhelidze, “Relativistically covariant equations for two particles in quantum field theory,” Preprint E2-3498 [in English], JINR, Dubna (1967); R. N. Faustov, Ann. Phys. (N.Y.),78, 176 (1973).

    Google Scholar 

  4. V. G. Kadyshevsky, R. M. Mir-Kasimov, and N. B. Skachkov, Nuovo Cimento A,55, 233 (1968);

    Google Scholar 

  5. V. G. Kadyshevskii, R. M. Mir-Kasimov, and N. B. Skachkov, Fiz. Elem. Chastits At. Yadra,2, 635 (1972).

    Google Scholar 

  6. A. T. Filippov, I. V. Puzynin, and D. P. Mavlo, J. Comput. Phys.,22, 150 (1976).

    Google Scholar 

  7. V. Sh. Gogokhiya, D. P. Mavlo, and A. T. Filippov, “Investigation of solutions of the Logunov-Tavkhelidze quasipotiential equation and its modifications,”, Preprint R2-9894 [in Russian], JINR, Dubna (1976).

    Google Scholar 

  8. Ar. M. Kotsinyan, “Covariant quasipotential formalism for the description of reactions with the participation of two-particle bound states,” Preprint R2-8682 [in Russian], JINR, Dubna (1975).

    Google Scholar 

  9. V. N. Kapshay and N. B. Skachkov, “Exact solution of the covariant two-particle equation with superposition of one-boson exchange quasipotentials,”, Preprint E2-81-618 [in English], JINR, Dubna (1981).

    Google Scholar 

  10. V. B. Belyaev and B. F. Irgaziev, Yad. Fiz.,25, 450 (1977).

    Google Scholar 

  11. C. E. Brown and A. D. Jackson, The Nucleon-Nucleon Interaction, North-Holland, Amsterdam (1976).

    Google Scholar 

  12. N. B. Skachkov, “Covariant three-dimensional equation for fermion-antifermion system,” Preprints E2-81-924, E2-81-308, E2-81-399 [in English], JINR, Dubna (1981).

    Google Scholar 

  13. R. K. Yaes, Phys. Rev. D,3, 3086 (1971).

    Google Scholar 

  14. R. N. Faustov, Teor. Mat. Fiz.,3, 240 (1970).

    Google Scholar 

  15. M. Freeman, M. D. Mateev and R. M. Mir-Kasimov, Nucl. Phys. B,12, 197 (1969).

    Google Scholar 

  16. A. A. Arkhipov and V. I. Savrin, “On a method of solution of a quasipotential equation,”, Preprint No. 82-21 [in Russian], Institute of High Energy Physics, Serpukhov (1982).

    Google Scholar 

  17. A. A. Logunov, V. E. Savrin, N. E. Tyurin, and O. A. Khrustalev, Teor. Mat. Fiz.,6, 654 (1974);

    Google Scholar 

  18. A. N. Kvinikhidze and D. Ts. Stoyanov, “Retarded part of the two-time Green's function and two-body relativistic problem,” Preprint E2-5746 [in English], JINR, Dubna (1971).

    Google Scholar 

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Joint Institute for Nuclear Research, Dubna. Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 54, No. 3, pp. 406–415, March, 1983.

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Kapshai, V.N., Skachkov, N.B. Covariant two-particle wave functions for model quasipotentials that admit exact solutions. I. Solutions in momentum space. Theor Math Phys 54, 265–271 (1983). https://doi.org/10.1007/BF01018907

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