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Microscopic transport theory of heavy-ion collisions

II. Transport coefficients for asymmetric fragmentation and generalized einstein relations

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Zeitschrift für Physik A Atoms and Nuclei

Abstract

Drift and diffusion coefficients for the variables of mass fragmentation and excitation energy are studied for deeply inelastic collisions. The transport coefficients are obtained in closed form as functions of the parameters of the interaction matrix elements between nucleonic states and as functions of the binding energy of the intermediate rotating quasimolecular configuration. Drift and diffusion coefficients for excitation and mass transfer are related (dissipation fluctuation theorem). In good approximation these relations take the simple form of Einstein's relation between the mobility and the diffusion coefficient of a particle in a medium. For the total mass numbers 100, 250 and 500 the results are discussed in detail. The transport coefficients are compared with experimental results. Within the uncertainties of determination from experimental data, the drift and diffusion coefficients are well described by two previously adjusted parameters of the mean interaction matrix elements. Consequences for the production of superheavy elements in deeply inelastic collisions of U on U or Cf are discussed.

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References

  1. Fleury, A., Alexander, J.M.: Ann. Rev. Nucl. Science24, 279 (1974) and references therein

    Google Scholar 

  2. Nörenberg, W., Weidenmüller, H.A.: Introduction to the Theory of Heavy-Ion Collisions, Lecture Notes in Physics, vol. 51. Berlin-Heidelberg-New York: Springer 1976

    Google Scholar 

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

    Google Scholar 

  4. Volkov, V.V.: Proc. of the Int. Symposium on Classical and Quantum Mechanical Aspects of Heavy-Ion Collisions, ed. by H.L. Harney et al., p. 254. Berlin-Heidelberg-New York: Springer 1975

    Google Scholar 

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

    Google Scholar 

  6. Colombani, P., Frascaria, N., Jacmart, J.C., Riou, M., Stéphan, C., Doubre, H., Poffé, N., Roynette, J.C.: Phys. Lett.55B, 45 (1975)

    Google Scholar 

  7. Babinet, R., Moretto, L.G., Galin, J., Jared, R., Moulton, J., Thomson, S.G.: Nucl. Phys. A258, 172 (1976)

    Google Scholar 

  8. Moretto, L.G., Galin, J., Babinet, R., Fraenkel, Z., Schmitt, R., Jared, R., Thomson, S.G.: Nucl. Phys. A259, 173 (1976)

    Google Scholar 

  9. Péter, J., NgÔ, C., Plasil, F., Tamain, B., Berlanger, M., Hanappe, F.: Orsay, preprint (1976)

  10. Wolf, K.L., Roche, CT.: Proc. of the Int. Symposium on the Macroscopic Features of Heavy-Ion Collisions, Argonne, 1976

  11. Albrecht, R., Demond, F.J., Dünnweber, W., Graw, G., Ho, H., Slemmer, J., Wurm, J. P.: Heidelberg, preprint (1976)

  12. Gelbke, C.K., Braun-Munzinger, P., Barrette, J., Zeidman, B., LeVine.M.J., Gamp, A., Harney, H.L., Walcher. Th.: Heidel-berg, preprint (1976)

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

    Google Scholar 

  14. Nörenberg, W.: Z. Physik A274, 241 (1975) and A276, 84 (1976)

    Google Scholar 

  15. Broglia, R.A., Dasso, C.H., Winther, Aa.: Phys. Lett.53B, 301 (1974) and 61B, 113 (1976)

    Google Scholar 

  16. Gross, D. H. E., Kalinowski, H., De, J.N.: Proc. of the Int. Symposium on Classical and Quantum Mechanical Aspects of Heavy-Ion Collisions, ed. by H. L. Harney et al., p. 194. Berlin-Heidelberg-New York: Springer 1975

    Google Scholar 

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

    Google Scholar 

  18. Bondorf, J.P., Huizenga, J.R., Sobel, M.I., Sperber, D.: Phys. Rev. C11, 1265 (1975)

    Google Scholar 

  19. Mustafa, M.G.: Phys. Lett.60B, 15 (1975)

    Google Scholar 

  20. Moretto, L.G., Sventek, J.S.: Phys. Lett.58B, 26 (1975) Sventek, J. S., Moretto, L. G.: To be published

    Google Scholar 

  21. Hofmann, H., Siemens, P.: Nucl. Phys. A257, 165 (1976)

    Google Scholar 

  22. Ayik, S., Schürmann, B., Nörenberg, W.: Z. Physik A277, 299 (1976)

    Google Scholar 

  23. Ko, C.M., Pirner, H.J., Weidenmüller, H.A.: Phys. Lett.62B, 248 (1976)

    Google Scholar 

  24. NgÔ, C., Péter, J., Tamain, B., Berlanger, M., Hanappe, F.: Nucl. Phys. A267, 181 (1976)

    Google Scholar 

  25. Bondorf, J.P., Nörenberg, W.: Phys. Lett.44B, 487 (1973)

    Google Scholar 

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Ayik, S., Schürmann, B. & Nörenberg, W. Microscopic transport theory of heavy-ion collisions. Z Physik A 279, 145–153 (1976). https://doi.org/10.1007/BF01437870

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  • DOI: https://doi.org/10.1007/BF01437870

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