Skip to main content
SpringerLink
Log in

Relativistic Covariant Equal-Time Equation for Quark-Diquark System

  • Published:
International Journal of Theoretical Physics Aims and scope Submit manuscript

Abstract

Relativistic three-dimensional quasipotential(equal-time) equations are considered which describebound states of a fermion and a boson of spin S = 0 orS = 1. The spin structure of the interactionquasipotentials in such systems is studied, and thecorresponding partial-wave equation for the simplestcase is obtained. Such equations can be used incalculations of energy spectra, decay rates, andstructure functions of quark-diquark systems (nucleons and theirresonances) and for the description of the (π μ)atom as well.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

REFERENCES

  1. M. Ida and R. Kobayashi, Prog. Theor. Phys. 36 (1966) 846; D. B. Lichtenberg and L. J. Tassie, Phys. Rev. 155 (1967) 1601.

    Google Scholar 

  2. S. Fredriksson, Phys. Rev. Lett. 52 (1984) 724; Z. Dziembowski and J. Franklin, Phys. Rev. D 42 (1990) 905; M. Narodetskii, Yu. A. Simonov, and V. P. Yurov, Z. Phys. C 55 (1992) 695.

    Google Scholar 

  3. B. Stech, Phys. Rev. D 36 (1987) 975; B. Pire, Nucl. Phys. A 497 (1989) 223c; P. Kroll, M. Schürmann, and W. Schweiger, Z. Phys. A 338 (1991) 339; M. Anselmino and E. Predazzi, Phys. Lett. B 254 (1991) 203; A. Buck, R. Alkofer, and H. Reinhardt, Phys. Lett. B 286 (1992) 29; M. Szczekowski, Preprint CERN-PPE 92–150 Geneva (1992).

    Google Scholar 

  4. C. P. Forsyth and R. E. Cutkosky, Nucl. Phys. B 178 (1981) 35; B. Ram and V. Kriss, Phys. Rev. D 35 (1987) 400; S. Fleck, B. Silvestre-Brac, and J.-M. Richard, Phys. Rev. D 38 (1988) 1519; D. B. Leinweber, Phys. Rev. D 47 (1993) 5096.

    Google Scholar 

  5. S. Fredriksson, M. Jändel, and T. Larsson, Z. Phys. C 14 (1982) 35; S. Fredriksson and T. Larsson, Phys. Rev. D 28 (1983) 255.

    Google Scholar 

  6. M. Neubert and B. Stech, Phys. Lett. B 231 (1989) 477; Phys. Rev. D 44 (1991) 775; H. Dosch, M. Jamin, and B. Stech, Z. Phys. C 42 (1989) 167; B. Stech and Q. P. Xu, Z. Phys. C 49 (1991) 491; M. Neubert, Z. Phys. C 50 (1991) 243.

    Google Scholar 

  7. A. P. Contogouris et al., Phys. Lett. B 287 (1992) 203.

    Google Scholar 

  8. P. B. Lichtenberg, Phys. Rev. 178 (1969) 2197; P. B. Lichtenberg et al., Phys. Rev. Lett. 48 (1982) 1653; Z. Phys. C 17 (1983) 57.

    Google Scholar 

  9. G. V. Efimov, M. A. Ivanov, and V. E. Lyubovitskij, Z. Phys. C 47 (1990) 583.

    Google Scholar 

  10. M. Szczekowski, Int. J. Mod. Phys. A 4 (1989) 3985.

    Google Scholar 

  11. J.-M. Richard, Phys. Rep. 212 (1992) 1.

    Google Scholar 

  12. V. G. Kirillov-Ugryumov, Yu. P. Nikitin, and F. M. Sergeev, Atoms and Mesons, Atomizdat, Moscow (1980) [in Russian]; C. J. Batty, Fiz. Elem. Chast. At. Yadra 13 (1982) 164 [Sov. J. Part. Nucl., 71].

    Google Scholar 

  13. J. A. Wheeler, Phys. Rev. 71 (1947) 320; E. Fermi and E. Teller, Phys. Rev. 72 (1947) 399.

    Google Scholar 

  14. M. Schwartz, In Proceedings of XVIII International Conference on HEP, Tbilisi, 1976, Vol. I, JINR, Dubna D1, 2–14000 (1977), p. A7; R. Coombes et al., Phys. Rev. Lett. 37 (1976) 249.

    Google Scholar 

  15. L. L. Nemenov, In Proceedings of International School of Young Scientists on HEP, Gomel', 1971, JINR, Dubna 2–6371 (1972), p. 87; Yad. Fiz. 15 (1972) 1047 [Sov. J. Nucl. Phys., 582]; Yad. Fiz. 16 (1972) 125 [Sov. J. Nucl. Phys., 67].

    Google Scholar 

  16. U. Bar-Gadda and C. F. Cho, Phys. Lett. 46B (1973) 95; C. F. Cho, Nuovo Cim. 23A (1974) 557.

    Google Scholar 

  17. A. Karimhodzhaev and R. N. Faustov, Preprint JINR P2–11746, Dubna (1978); Yad. Fiz. 29 (1979) 463 [Sov. J. Nucl. Phys., 232].

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

    Google Scholar 

  19. V. G. Kadyshevsky, Nuovo Cimento 55A (1968) 233; V. G. Kadyshevsky, R. M. Mir-Kasimov, and N. B. Skachkov, Fiz. Elem. Chast. At. Yadra 2 (1971) 635 [Sov. J. Part. Nucl. 2 (3) (1972) 69].

    Google Scholar 

  20. H. Joos, Fortschritte Phys. 10 (1962) 65; S. Weinberg, Phys. Rev. B 133 (1964) 1318; 134 (1964) 882; 181 (1969) 1893.

    Google Scholar 

  21. V. V. Dvoeglazov and N. B. Skachkov, JINR Communications P2–84–200, Dubna (1984); V. V. Dvoeglazov et al., Yad. Fiz. 54 (1991) 658 [Sov. J. Nucl. Phys., 398].

  22. A. D. Linkevich, V. I. Savrin, and N. B. Skachkov, Yad. Fiz. 37 (1983) 391 [Sov. J. Nucl. Phys., 235].

    Google Scholar 

  23. A. D. Linkevich et al., JINR Communications P2–82–563, Dubna (1982).

  24. N. B. Skachkov, JINR Communications E2–7159, E2–7333, Dubna (1973); TMF 22 (1975) 213 [Theor. Math. Phys., 149]; Preprints JINR E2–81–294, E2–81–308, E2–81–399, Dubna (1981); N. B. Skachkov and I. L. Solovtsov, Fiz. Elem. Chast. At. Yadra 9 (1978) 5 [Sov. J. Part. Nucl., 1].

  25. Yu. M. Shirokov, ZhETF 34 (1951) 1005; A. A. Cheshkov and Yu. M. Shirokov, ZhETF 44 (1963) 1982 [Sov. Phys. JETP 17 (1963) 1333].

    Google Scholar 

  26. V. V. Dvoeglazov and N. B. Skachkov, JINR Communications P2–84–383, Dubna (1984); V. V. Dvoeglazov, Ph.D. Thesis, JINR 2–91–331, Dubna (1991).

  27. V. N. Kapshai and G. Yu. Tyumenkov, Izv. VUZ Fizika 32 (1989) 57 [Sov. Phys. J., 123].

    Google Scholar 

  28. V. B. Berestetskii, E. M. Lifshitz, and L. P. Pitaevskii, Relativistic Quantum Theory, Moscow, Nauka (1968) [English translation: Pergamon Press, Oxford (1979), p. 280].

    Google Scholar 

  29. I. S. Gradshtein and I. M. Ryzhik, Tables of Integrals, Series and Products, Academic Press, New York (1965).

    Google Scholar 

  30. V. V. Dvoeglazov and N. B. Skachkov, JINR Communication s P2–84–199, Dubna (1984).

  31. S. B. Stechkin and Yu. N. Subbotin, Splines in Computational Mathematics, Nauka, Moscow (1976); L. Alexandrov and D. Karadzhov, Zh. Vych. Mat. Mat. Fiz. 20 (1980) 923; A. V. Sidorov and N. B. Skachkov, JINR Communications P2–84–502, Dubna (1984) [in Russian].

    Google Scholar 

  32. E. P. Zhidkov et al., JINR Communications P11–85–465, P11–87–261, E11–88–494, Dubna (1985, 1987, 1988).

  33. B. A. Arbuzov et al., TMF 83(1990) 175 [Theor. Math. Phys., 457]; Mod. Phys. Lett. A 5 (1990) 1441; Phys. Lett. B 240 (1990) 477.

    Google Scholar 

  34. O. I. Marichev, Handbook of Integral Transforms of Higher Transcendental Functions: Theory and Algorithmic Tables, Halsted Press, New York (1983).

    Google Scholar 

  35. A. P. Prudnikov, Ya. A. Brychkov, and O. I. Marichev, Integrals and Series, Gordon and Breach, London (1990), Vol. 3, p. 54.

    Google Scholar 

  36. A. Erdélyi, ed., Tables of Integral Transforms, McGraw-Hill, New York (1954), Vol. 1, p. 312.

Download references

Authors
  1. Valeri V. Dvoeglazov
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Sergei V. Khudyakov
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Svyatoslav B. Solganik
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Dvoeglazov, V.V., Khudyakov, S.V. & Solganik, S.B. Relativistic Covariant Equal-Time Equation for Quark-Diquark System. International Journal of Theoretical Physics 37, 1895–1908 (1998). https://doi.org/10.1023/A:1026661129181

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1026661129181

Keywords

Search

Navigation