Skip to main content
Log in

On the critical distance in heavy-ion collisions

  • Brief Communications
  • Published:
Technical Physics Aims and scope Submit manuscript

Abstract

An analytical expression is obtained for the electron energy term by solving a two-center Dirac problem. This expression has the correct asymptotic form in two limiting cases — the Popov approximation and the nonrelativistic problem.

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

Access this article

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

Instant access to the full article PDF.

References

  1. H. A. Bethe, Quantum Mechanics of Very Simple Systems, ONTI, Moscow, 1935.

    Google Scholar 

  2. J. C. Slater, The Electronic Structure of Atoms and Molecules [MIT Press, Cambridge, Mass., 1953; Mir, Moscow, 1965].

    Google Scholar 

  3. I. V. Komarov, L. I. Ponomarev, and S. Yu. Slavyanov, Spheroidal and Coulombic Spheroidal Functions [in Russian], Nauka, Moscow, 1976.

    Google Scholar 

  4. S. S. Gershtein and Ya. B. Zel’dovich, Zh. Éksp. Teor. Fiz. 57, 654 (1969) [Sov. Phys. JETP 30, 358 (1970)].

    Google Scholar 

  5. B. Müller, J. Rafelski, and W. Greiner, Phys. Lett. B 47, 5 (1973).

    ADS  Google Scholar 

  6. V. S. Popov, Yad. Fiz. 17, 621 (1973) [Sov. J. Nucl. Phys. 17, 322 (1974)].

    Google Scholar 

  7. V. S. Popov, Yad. Fiz. 19, 155 (1974) [Sov. J. Nucl. Phys. 19, 81 (1974)].

    Google Scholar 

  8. A. A. Grib, S. G. Mamaev, and V. M. Mostapanenko, Vacuum Quantum Effects in Strong Fields [in Russian], Énergoatomizdat, Moscow, 1988.

    Google Scholar 

  9. J. D. Bjorken and S. D. Drell, Relativistic Quantum Mechanics [McGraw-Hill, New York, 1964; Relativistic Quantum Field Theory, Nauka, Moscow, 1978, Vol. 1].

    Google Scholar 

  10. Handbook of Mathematical Functions, edited by M. Abramowitz and I. Stegan [Dover, New York, 1965; Nauka, Moscow, 1979].

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Zh. Tekh. Fiz. 69, 135–137 (August 1999)

Rights and permissions

Reprints and permissions

About this article

Cite this article

Matveev, V.I., Matrasulov, D.U. & Rakhimov, K.Y. On the critical distance in heavy-ion collisions. Tech. Phys. 44, 992–994 (1999). https://doi.org/10.1134/1.1259422

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1134/1.1259422

Keywords

Navigation