Skip to main content
SpringerLink
Log in

Integral equations for four identical particles with separable two-particle interactions

  • Published:
Czechoslovak Journal of Physics B Aims and scope

Abstract

The problem of four identical spinless particles with separable two-particle interactions is considered. The integral equations of motion for four particles in the bound states and in the continuum states with two non-ihteracting subsystems in the initial channel are formulated. The angular-momentum reduction of the obtained equations is given.

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. Faddeev L. D., ZhETF39 (1960), 1459; Mathematical problems of the quantum scattering theory for a three-particle system, vol. 69 (Steklov Mathematical Institute, Leningrad, 1963).

    Google Scholar 

  2. Faddeev L. D.,in Proc. problem Symp. on Nuclear Physics, vol. 1, Tbilisi, Moscow 1967. p. 43; Three-body problem in nuclear and particle physics, (ed. J. S. C. McKee and P. M. Rolph). North-Holland, Amsterdam 1970) p. 154.

  3. Yacubovsky O. A., Sov. J. Nucl. Phys.5 (1967), 1312.

    Google Scholar 

  4. Kharchenko V. F., Kuzmichev V. E., Nucl. Phys. A183 (1972), 606;A 196 (1972), 636.

    Google Scholar 

  5. Alt E. O.,Grassberoer P.,Sandhas W., JINR, E4-6688, Dubna 1972.

  6. Sitenko A. G., Kharchenko V. F., Nucl. Phys.49 (1963), 15.

    Google Scholar 

  7. Ahmadzadeh A., Tjon J. A., Phys. Rev.139 (1965), B 1085.

    Google Scholar 

  8. Sitenko A. G., Kharchenko V. F., Uspekhi Fiz. Nauk103 (1971), 469.

    Google Scholar 

  9. Humberston J. W., Osbors R. L., Phys. Lett.27 B (1968), 195;Malfliet R. A.,Tjon J. A., Nucl. Phys.A 127 (1969), 161;Kim Y. E., J. Math. Phys.10 (1969), 1491; Phys. Lett.29 B (1969), 411.

    Google Scholar 

  10. Kharchenko V. F., Kuzmichev V. E., Phys. Lett.42 B (1972), 328; Sov. J. Nucl. Phys.17 (1973), 975;Kharchenko V. F.,in Few Particle Problems in the Nuclear Interactions, (ed. I. Slaus, S. A. Moszkowski, R. P. Haddock, W. T. H. van Oers). North-Holland, Amsterdam 1972 p. 663.

    Google Scholar 

  11. Kharchenko V. F.,Kuzmichev V. E.,Shadchin S. A., Preprint ITP-73-96P, Kiev, 1973. Nucl. Phys. to be published (1974).

  12. Blatt J. M., Weisskopf V. F., Theoretical nuclear physics. John Wiley and Sons, Inc., New York 1952, ch. 5.

    Google Scholar 

  13. Kharchenko V. F., Kuzmichev V. E., Preprint ITP-73-97P, Kiev, 1973. Sov. J. Nucl. Phys.20 (1974), 334.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institute for Theoretical Physics, Academy of Sciences of the Ukrainian SSR, Metrologicheskaya St. 14-b, Kiev-130, Ukr. SSR, USSR

    V. F. Kharchenko & V. E. Kuzmichev

Authors
  1. V. F. Kharchenko
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. V. E. Kuzmichev
    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

Kharchenko, V.F., Kuzmichev, V.E. Integral equations for four identical particles with separable two-particle interactions. Czech J Phys 24, 1071–1090 (1974). https://doi.org/10.1007/BF01586813

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01586813

Keywords

Search

Navigation