Skip to main content
SpringerLink
Log in

Nucleus-nucleus collisions: Intrinsic motion with external correlations

  • Nuclei
  • Published:
Zeitschrift für Physik A Atoms and Nuclei

Abstract

A consistent treatment of the relative and intrinsic motion which goes beyond the mean-field approach allows to include the fluctuations of the time-dependent mean field for the intrinsic as well as for the relative motion. Starting with the v. Neumann equation for the total density matrix, we derive a modified equation for the intrinsic many-body density matrix. This equation is used to obtain the quantum kinetic equations for the one-body density matrix and the two-body correlator. In the time-dependent single-particle basis, the occupation numbers change in time due to a collision term originating from residual two-body interactions which account for equilibration, and due to the fluctuations of the external mean field. The relations to TDHF with collision term are discussed. Special attention is paid to the conditions for a diabatic evolution of the single-particle states and to finite size effects which play an important role to make two-body collisions operative in finite nuclei.

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. Hasse, R.W., Hahn, K.: Nucleonika25, 133 (1980)

    Google Scholar 

  2. Mukamel, S., Smilansky, U., Gross, D.H.E., Möhring, K., Sobel, M.I.: preprint WIS-81/4/Jan-ph

  3. Gross, D.H.E., Möhring, K., Mukamel, S., Smilansky, M., Sobel, M.I.: Preprint HMI-P81/17Th

  4. Takigawa, N., Nita, K., Okuhara, Y., Yoshida, S.: Nucl. Phys. A371, 130 (1981)

    Google Scholar 

  5. Koonin, S.E.: Prog. Part. Nucl. Phys.4, 283 (1979)

    Google Scholar 

  6. Brosa, U., Gross, D.H.E.: Z. Phys. A — Atoms and Nuclei298, 91 (1980)

    Google Scholar 

  7. Willis, C.R., Picard, R.H.: Phys. Rev. A9, 1343 (1974)

    Google Scholar 

  8. Rumyantsev, B.A., Kheifets, S.A.: Yad. Fiz.21, 510 (1975)

    Google Scholar 

  9. Ayik, S.: Z. Phys. A — Atoms and Nuclei298, 83 (1980)

    Google Scholar 

  10. Grangé, P., Weidenmüller, H.A., Wolschin, G.: Ann. Phys.136, 190 (1981)

    Google Scholar 

  11. Münchow, L., Pfitzner, A., Schulz, H.: Z. Phys. A — Atoms and Nuclei296, 55 (1980)

    Google Scholar 

  12. Gradstein, I.S., Rishik, I.M.: Tables of integrals, sums, rows and products, Moscow: Gos. isd. fiz.-mat. lit., 1962

    Google Scholar 

  13. Nörenberg, W.: Invited Talk of the International School-Seminar on Heavy Ion Physics, Alushta, April 14–21 (1983); GSI-82-36

  14. Wolschin, G.: Lecture Notes in Physics. Vol. 171, p. 142. Berlin, Heidelberg, New York: Springer 1982

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Zentralinstitut für Kernforschung Rossendorf, Dresden, German Democratic Republic

    L. Münchow & A. Pfitzner

Authors
  1. L. Münchow
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. A. Pfitzner
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

One of us, A.P., benefitted from discussions with W. Nörenberg.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Münchow, L., Pfitzner, A. Nucleus-nucleus collisions: Intrinsic motion with external correlations. Z Physik A 314, 97–106 (1983). https://doi.org/10.1007/BF01411836

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01411836

Keywords

Search

Navigation