Skip to main content
SpringerLink
Log in

Quantum-statistical approach to gross properties of peripheral collisions between heavy nuclei

  • Published:
Zeitschrift für Physik A Atoms and Nuclei

Abstract

Non-equilibrium quantum-statistical mechanics is applied to peripheral collisions between heavy nuclei (A≳40) where a large number of degrees of freedom are involved during the process. By eliminating the relative motion from the explicit consideration, the transitions between different channels are determined by a Liouville equation with timedependent coupling matrix elements. The introduction of subsets of channels (coarse graining) leads to the definition of macroscopic variables which correspond to observable quantities. The equation of motion for the macroscopic variables become irreversible by assuming the values of the coupling matrix elements to be randomly distributed. The validity and possible applications of the resulting master equations are discussed.

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. Moretto, L.G., Heunemann, D., Jared, R.C., Gatti, R.C., Thomson, S.G.: In: Physics and Chemistry of Fission 1973, vol.II, p. 351. Vienna: IAEA 1974

    Google Scholar 

  2. Wolf, K.L., Unik, J.P., Huizenga, J.R., Viola, V.E., Birkelund, J., Freiesleben, H.: Phys. Rev. Lett.33, 1105 (1974)

    Google Scholar 

  3. Kratz, J.V., Norris, A.E., Seaborg, G.T.: Phys. Rev. Lett.33, 502 (1974)

    Google Scholar 

  4. Artukh, A.G., Gridnev, G.F., Mikheev, V.L., Volkov, V.V., Wilczynski, J.: Nucl. Phys. A215, 91 (1973)

    Google Scholar 

  5. Volkov, V.V.: in Proc. of the Int. Conf. on Reactions between Complex Nuclei, Nashville, 1974, eds. R.L. Robinsonet al., vol. 2, p. 363. Amsterdam: North-Holland 1974

    Google Scholar 

  6. Volkov, V.V.: In: Classical and Quantum Mechanical Aspects of Heavy Ion Collisions, eds. H.L. Harneyet al., Lecture Notes in Physics33, p. 254. Berlin-Heidelberg-New York: Springer 1975

    Google Scholar 

  7. Lefort, M., NgÔ, C., Péter, J., Tamain, B.: Nucl. Phys. A216, 166 (1973)

    Google Scholar 

  8. Hanappe, F., Lefort, M., NgÔ, C., Péter, J., Tamain, B.: Phys. Rev. Lett.32, 738 (1974)

    Google Scholar 

  9. Péter, J., NgÔ, C., Tamain, B.: J. Physique Lettres36, L23 (1975)

    Google Scholar 

  10. Bimbot, R., Gardès, D., Hahn, R.L., de Moras, Y., Rivet, M.F.: Nucl. Phys. A228, 85 (1974)

    Google Scholar 

  11. Gatty, B., Guerreau, D., Lefort, M., Tarrago, X., Galin, J., Cauvin, B., Girard, J., Nifenecker, H.: J. Physique Lettres35, L117 (1974)

    Google Scholar 

  12. Fleury, A., Alexander, J.M.: Ann. Rev. Nucl. Sci.24, 279 (1974)

    Google Scholar 

  13. Gross, D.H.E., Kalinowski, H.: Phys. Lett.48B, 302 (1974)

    Google Scholar 

  14. Bondorf, J.P., Sobel, M.I., Sperber, D.: Phys. Lett. C15, 84 (1974)

    Google Scholar 

  15. Deubler, H.H., Dietrich, K.: Phys. Lett.56B, 241 (1975)

    Google Scholar 

  16. Beck, R., Gross, D.H.E.: Phys. Lett.47B, 143 (1973)

    Google Scholar 

  17. Gross, D.H.E.: Nucl. Phys. A240, 472 (1975)

    Google Scholar 

  18. Hofmann, H., Siemens, P.: to be published in Nucl. Phys. Hofmann, H.: private communication

  19. Agassi, D., Weidenmüller, H.A.: Phys. Lett.56B, 305 (1975)

    Google Scholar 

  20. Mantzouranis, G., Agassi, D., Weidenmüller, H.A.: Phys. Lett.57B, 220 (1975) Agassi, D., Weidenmüller, H.A., Mantzouranis, G.: to be published in Phys. Reports

    Google Scholar 

  21. Nörenberg, W.: Proc. Int. Conf. on Reactions between Complex Nuclei, Nashville, 1974, ed. by R.L. Robinsonet al., vol. 1, p. 90. Amsterdam: North-Holland 1974; Proc. Int. Workshop on Gross Properties of Nuclei and Nuclear Excitations III, Hirschegg 1975, AED-Conf-75-009-000, p. 50. Darmstadt: Technische Hochschule 1975

    Google Scholar 

  22. Zwanzig, R.W.: In: Quantum Statistical Mechanics, ed. P.H.E. Meijer, p. 139. New York: Gordon and Breach 1966; Physica30, 1109 (1964) and references therein

    Google Scholar 

  23. Schieve, W.C.: In: Lectures in Statistical Physics, eds. W.C. Schieve and J.S. Turner, p. 1 and refs. therein. Berlin-Heidelberg-New York: Springer 5974

    Google Scholar 

  24. Jancel, R.: Foundations of Classical and Quantum Statistical Mechanics. Oxford: Pergamon Press 1963

    Google Scholar 

  25. Pauli, W.: Festschrift zum 60. Geburtstage A. Sommerfelds, ed. by P. Debye, p. 30. Leipzig: Hirzel 1928

    Google Scholar 

  26. Wilets, L.: Theories of Nuclear Fission. Oxford: Clarendon Press 1964

    Google Scholar 

  27. Nörenberg, W.: Phys. Lett.52B, 289 (1974)

    Google Scholar 

  28. Ayik, S., Schürmann, B., Nörenberg, W.: to be published

  29. Moretto, L.G., Sventek, J.S.: preprint Nov. 1974

  30. Porter, C.E.: Statistical Theories of Spectra: Fluctuations. New York: Academic Press 1965

    Google Scholar 

  31. Mehta, M.L.: Random Matrices and the Statistical Theory of Energy Levels. New York: Academic Press 1967

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institut für Theoretische Physik der Universität, Heidelberg

    W. Nörenberg

  2. Max-Planck-Institut für Kernphysik, Heidelberg

    W. Nörenberg

Authors
  1. W. Nörenberg
    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

Nörenberg, W. Quantum-statistical approach to gross properties of peripheral collisions between heavy nuclei. Z Physik A 274, 241–250 (1975). https://doi.org/10.1007/BF01437736

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01437736

Keywords

Search

Navigation