Abstract
Theoretical excitation functions in closed form for compound-nucleus reaction mechanism followed by nuclear evaporation are presented. Competition of neutron emission and charged-particle evaporation at the various stages of the evaporation chain are taken into account. The formula is derived in the framework of the nuclear evaporation model of Weisskopf using conventional Fermi gas level densities and continuum-theory reaction cross sections approximated by an empirical formula by Dostrovsky.
Experimental and theoretical excitation functions are compared. The agreement of the experimental results with those calculated using our closed formula, while not entirely satisfactory, is as good as with those computed numerically with considerable effort by other authors.
Similar content being viewed by others
Literatur
Read, J.B.J., Ladenbauer-Bellis, I.N., Wolfgang, R.: Phys. Rev.127, 1722 (1962)
Natowitz, J.B.: Phys. Rev. C1, 623 (1970)
Kowalski, L., Jodogne, J.C., Miller, J.M.: Phys. Rev.169, 894 (1968)
Sikkeland, T., Viola, V.R.: Proceedings of the Third Conference on Reactions between Complex Nuclei, p. 232. Ghiorso, A., Diamond, R.M., Conzett, H.E., eds. Berkeley-Los Angeles: Univ. of California Press 1963
Dostrovsky, I., Fraenkel, Z., Friedlander, G.: Phys. Rev.116, 683 (1959)
Dostrovsky, I., Fraenkel, Z., Winsberg, L.: Phys. Rev.118, 781 (1960)
Dostrovsky, I., Fraenkel, Z., Rabinowitz, P.: Phys. Rev.118, 791 (1960)
Blann, M.: Phys. Rev.157, 860 (1967)
Ruddy, F.H., Pate, B.D.: Nucl. Phys. A127, 305, 323 (1969)
Feshbach, H.: Phys. Rev.87, 366 (1952)
Weisskopf, V., Ewing, D.H.: Phys. Rev.57, 472 (1940)
Grover, J.R., Gilat, J.: Phys. Rev.157, 802, 814, 823 (1966)
—: Phys. Rev. C3, 734 (1971)
Il'Inov, A.S., Toneev, V.D.: Soviet J. Nucl. Phys.9, 30 (1969)
Vandenbosch, R., Huizenga, J.R., Miller, W.F., Keberle, E.M.: Nucl. Phys.25, 511 (1961)
Jackson, J.D.: Can. J. Phys.34, 767 (1956)
Wong, C.Y.: Nucl. Phys. A103, 625 (1967)
Vandenbosch, R., Thomas, T.D., Vandenbosch, S.E., Glass, R.A., Seaborg, G.T.: Phys. Rev.111, 1358 (1958)
Sikkeland, T.: Arkiv Fysik36, 539 (1967)
Blatt, J.M., Weisskopf, V.F.: Theoretische Kernphysik, S. 322. Leipzig: Teubner 1959
Halpern, I.: Proceedings of the International Conference on Statistical Properties of Nuclei, p. 465. Garg, J.B., ed. New York-London: Plenum Press 1972
Beard, D.B., McLellan, A.: Phys. Rev.131, 2664 (1963)
Hyde, E., Perlmann, I., Seaborg, G.T.: The nuclear properties of the heavy elements, vol. I. Englewood Cliffs: Prentice-Hall 1964
Blann, M., Lanzafame, F.M.: Proceedings of the International Conference on Nuclear Reactions Induced by Heavy Ions, Heidelberg 1969, p. 689, Bock, R., Hering, W.F., eds. Amsterdam-London: North-Holland 1970
Vijver, R. v.d.: In: Gugelot, Morinaga Nucl. Plys.46, 210 (1963)
John, W.: Phys. Rev.103, 704 (1956)
Porile, N.T.: Phys. Rev.115, 939 (1959)
Gilbert, A., Cameron, A.G.: Can. J. Phys.43, 1446 (1965)
Truran, J.W., Cameron, A.G., Hilf, E.: Proceedings of the International Conference on the Properties of Nuclei far from the Region of Beta-Stability, Leysin 1970, vol. I, p. 275. Cern 70-30, Geneva 1970.
Mattauch, J.H.E., Thiele, W., Wapstra, A.H.: Nucl. Phys.67, 11 (1965)
Myers, W.D., Swiatecki, W.J.: Nucl. Phys.81, 1 (1966)
Swiatecki, W.J.: Arkiv Fysik36, 343 (1967)
Gardner, D.G.: Nucl. Phys.29, 373 (1962)
Gottschalk, P.A.: Dissertation Marburg 1973
Author information
Authors and Affiliations
Additional information
Auszug aus der Dissertation [31] des Verfassers.
Mein Dank gilt in erster Linie Herrn Prof. Dr. G. Grawert für die Anregung zu dieser Arbeit und seine konstruktive Kritik an ihr. Den Mitarbeitern des Institutes für Theoretische Physik IV, der jetzigen Arbeitsgruppe „Streutheorie und Kernreaktionen“, danke ich für ihre Diskussionsbereitschaft, insbesondere Herrn Dr. F. Kitzka für seine Unterstützung bei der Lösung mathematischer Probleme. Mein Dank gilt weiterhin Herrn Prof. Dr. R. Brandt, dem Leiter der Arbeitsgruppe „Kernreaktionen“ des Fachbereichs Physikalische Chemie, für seine Freundlichkeit, mir anregende Diskussionen mit seinen Gästen, M. Blann, J.R. Nix und N.T. Porile ermöglicht zu haben.
Rights and permissions
About this article
Cite this article
Gottschalk, P.A. Anregungsfunktionen für Compoundkernprozesse in geschlossener Form. Z. Physik 266, 347–356 (1974). https://doi.org/10.1007/BF01674828
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01674828