Abstract
The time delays involved under different circumstances in nuclear reactions, e.g., isolated or overlapping resonances, are analysed from the unified point of view of unitarity and of the statistical and analytical properties of theS-matrix. A general theorem is proved which says that the average over then open channels of the time delay of a wave packet covering many resonances (whose average separation isD) is given byħ/(nD). The case of an incoherent superposition of monochromatic beams is also studied and the corresponding time delay is evaluated in the statistical model of Ericson.
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Kanter, E.P., Kollewe, D., Komaki, K., Leuca, I., Temmer, G.M., Gibson, W.M.: Nucl. Phys. A299, 230 (1978)
Yoshida, S.: Ann. Rev. Nucl. Sci.24, 1 (1974)
Fonda, L., Ghirardi, G.C., Rimini, A.: Rep. Prog. Phys.41, 587 (1978)
Friedman, F.L., Weisskopf, V. In: Niels Bohr and the Development of Physics, London: Pergamon Press 1955
Eisenbud, L.: Dissertation, Princeton Univ., June 1948 (unpublished)
Wigner, E.P.: Phys. Rev.98, 145 (1955)
Smith, F.T.: Phys. Rev.118, 349 (1960)
Bollé, D., Osborn, T.A.: Phys. Rev. D13, 299 (1976), and references contained therein
Lyuboshitz, V.L.: Phys. Lett.72B, 41 (1977)
Ohmura, T.: Suppl. Prog. Theor. Phys.29, 108 (1964)
Goldberger, M.L., Watson, K.M.: Collision Theory. New York: J. Wiley 1964
Rosengaus, E., Bauer, M., Mello, P.A.: Am Jour. Phys.46, 1170 (1978)
Ericson, T.E.O.: Ann. Phys. (N.Y.)23, 390 (1963)
Ericson, T.E.O., Mayer-Kuckuk, T.: Ann. Rev. Nucl. Sci.16, 183 (1966)
Yaglom, A.M.: An Introduction to the Theory of Stationary Random Functions, translated by R.A. Silverman, Englewood Cliffs, N.J.: Prentice-Hall Inc. 1962
Brody, T.A., Flores, J., French, J.B., Mello, P.A., Pandey, A., Wong, S.S.M.: to be published
Simonius, M.: Phys. Lett.52B, 279 (1974)
Moldauer, P.A.: Phys. Rev. Lett.19, 1047 (1967), Phys. Rev. C11, 426 (1975)
Agassi, D., Weidenmüller, H.A., Mantzouranis, G.: Phys. Rep.3, 145 (1975)
Taylor, J.R.: Scattering Theory, Chap. 20. New York, London: John Wiley & Sons, Inc. 1972
Dyson, F.J.: Jour. Math. Phys.3, 140 (1962)
French, J.B., Mello, P.A., Pandey, A.: Phys. Lett B80, 17 (1978)
Kawai, M., Kerman, A.K., McVoy, K.W.: Ann. Phys. (N.Y.)75, 156 (1973)
Hamer, C.J.: Nucl. Phys. B105, 153 (1976)
Moldauer, P.A.: Phys. Rev. C11, 426 (1975)
Austern, N.: Direct Nuclear Reaction Theories, p. 21. New York, London: J. Wiley & Sons, Inc. 1970
Bauer, M., Mello, P.A.: Ann. Phys. (N.Y.)111, 38 (1978)
Satchler, G.R.: Phys. Lett.7, 55 (1963)
McVoy, K.W., Mello, P.A.: Nucl. Phys. A315, 391 (1979)
Bauer, M., Mello, P.A.: J. Phys. G (in press)
Mott, N.F., Massey, H.S.W.: The Theory of Atomic Collisions, p. 371. 3d. Edition, Oxford University Press
Mantzouranis, G.: PhD Thesis, Heidelberg
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Supported in part by the Instituto Nacional de Investigaciones Nucleares, México, and the US-NSF
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Bauer, M., Mello, P.A. & McVoy, K.W. Time delay in nuclear reactions. Z Physik A 293, 151–163 (1979). https://doi.org/10.1007/BF01559756
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DOI: https://doi.org/10.1007/BF01559756