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Wave mechanical aspects of heavy ion collisions

  • Session C Quantum Mechanical Features of Heavy Ion Reactions
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Book cover Classical and Quantum Mechanical Aspects of Heavy Ion Collisions

Part of the book series: Lecture Notes in Physics ((LNP,volume 33))

Abstract

A unified quantal description of the wave mechanical and semiclassical aspects of heavy ion collisions is given by means of closed expressions derived from partial-wave expansion of the transition amplitudes. The results depend entirely on the asymptotic properties of the scattering wave functions (the partial-wave S matrix). It is shown, in particular, how the “refractive” features of semiclassical potential scattering are changed, in the presence of absorption, into characteristic quantal interference patterns of “diffractive” type. Only the simplest idealized limits are considered as examples of how insight is gained into the physical mechanisms that operate under various scattering conditions. Elastic scattering, inelastic scattering, and direct transfer reactions are described and the close physical connexion between these processes is made explicit.

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References

  1. R.A. Broglia and A. Winther, Phys. Reports 4C (1972) 153, and references therein.

    Article  Google Scholar 

  2. W.E. Frahn, in Fundamentals in Nuclear Theory, IAEA, Vienna 1967, p.3, and references therein.

    Google Scholar 

  3. W.E. Frahn, Wave mechanics of heavy ion collisions, Lectures at the Extended Seminar on Nuclear Physics, ICTP, Miramare-Trieste 1973, to be published by IAEA, Vienna.

    Google Scholar 

  4. K.W. Ford and J.A. Wheeler, Ann. Phys. (N.Y.) 7 (1959) 259.

    Article  Google Scholar 

  5. W.E. Frahn, Nucl. Phys. 75 (1966) 577.

    Google Scholar 

  6. W.E. Frahn, Phys. Rev. Lett. 26 (1971) 568; Ann. Phys. (N.Y.) 72 (1972) 524.

    Article  Google Scholar 

  7. M.V. Berry, Proc. Phys. Soc. 89 (1966) 479.

    Article  Google Scholar 

  8. R. da Silveira, Phys. Lett. 45B (1973) 211.

    Google Scholar 

  9. D.A. Goldberg and S.M. Smith, Univ. of Maryland report 74-084, 1974.

    Google Scholar 

  10. M.V. Berry, J. Phys. B (Atom. Molec. Phys.) 2 (1969) 381.

    Article  Google Scholar 

  11. R.A. Broglia, S. Landowne and A. Winther, Phys. Lett. 40B (1972) 293.

    Google Scholar 

  12. N. Austern, Direct nuclear reaction theories, Wiley, New York 1970.

    Google Scholar 

  13. W.E. Frahn, Closed-form quantal description of inelastic heavy ion scattering, Informal Report, Technical University Munich, July 1974, to be published.

    Google Scholar 

  14. N. Austern and J.S. Blair, Ann. Phys. (N.Y.) 33 (1965) 15.

    Article  Google Scholar 

  15. K. Alder, A. Bohr, T. Huus, B. Mottelson and A. Winther, Rev. Mod. Phys. 28 (1956) 432.

    Article  Google Scholar 

  16. J.S. Blair, Phys. Rev. 115 (1959) 928.

    Article  Google Scholar 

  17. J.M. Potgieter and W.E. Frahn, Nucl. Phys. 80 (1966) 434;Phys.Lett. 21 (1966) 211.

    Google Scholar 

  18. J.M. Potgieter and W.E. Frahn, Nucl. Phys. A92 (1967) 84.

    Google Scholar 

  19. S. Landowne and N. Takigawa, Phys. Lett. 50B (1974) 414.

    Google Scholar 

  20. R. da Silveira and Ch. Leclercq-Willain, Report IPNO/TH 73-52, Orsay, December 1973.

    Google Scholar 

  21. R.A. Malfliet, S. Landowne and V. Rostokin, Phys. Lett. 44B (1973) 238.

    Article  Google Scholar 

  22. R.A. Broglia, S. Landowne, R.A. Malfliet, V. Rostokin, and Aa. Winther, Physics Reports, to be published.

    Google Scholar 

  23. R.A. Malfliet, Lectures at Extended Seminar on Nuclear Physics,ICTP, Miramare-Trieste 1973, to be published by IAEA, Vienna; Proc. Argonne Symposium on Heavy Ion Transfer Reactions 1973, Vol.II, p.605; and this Symposium.

    Google Scholar 

  24. A. Dar, Phys. Rev. 139 (1965) B1193; Nucl. Phys. 82 (1966) 354.

    Google Scholar 

  25. W.E. Frahn and M.A. Sharaf, Nucl. Phys. A133 (1969) 593.

    Google Scholar 

  26. W.E. Frahn and R.H. Venter, Nucl. Phys. 59 (1964) 651.

    Article  Google Scholar 

  27. V.M. Strutinsky, Zh. Eksp. Teor. Fiz. 46 (1964) 2078 [Sov. Phys. JETP 19 (1964) 14011.

    Google Scholar 

  28. C. Chasman, S. Kahana and M. Schneider, Phys. Rev. Lett. 31 (1973) 1074.

    Article  Google Scholar 

  29. M.J. Schneider et al., Phys. Rev. Lett. 31 (1973) 231; P.D. Bond et al., Phys. Lett. 47B (1973)231; M.J. LeVine et al., Phys. Rev. Comments, to be published.

    Google Scholar 

  30. P.R. Christensen et al., Phys. Lett. 45B (1973) 107; J.B.Ball et al., Phys. Lett. 49B (1974) 348.

    Google Scholar 

  31. P. Braun-Munzinger et al., Phys. Rev. Lett. 31 (1973) 1423.

    Google Scholar 

  32. W. Henning et al., Phys. Rev. Lett. 32 (1974) 1015.

    Google Scholar 

  33. M.-C. Lemaire et al., Proc. Nashville Conf. 1974, to be published. 34) J.D. Garrett, this Symposium.

    Google Scholar 

  34. P.J. Siemens and F.D. Becchetti, Phys. Lett. 42B (1972) 389.

    Google Scholar 

  35. V.M. Strutinsky, Phys. Lett. 44B (1973) 245.

    Google Scholar 

  36. W. von Oertzen, Nucl. Phys. A148 (1970) 529; C.A. McMahan and W. Tobocman, Nucl. Phys. A202 (1973); G. Baur and C.K. Gelbke, Nucl. Phys. A204 (1973) 138; W. von Oertzen and W. Nörenberg, Nucl. Phys. A207 (1973) 113.

    Article  Google Scholar 

  37. S. Landowne, R.A. Broglia and R. Liotta, Phys. Lett 43B (1973) 160; C.K. Gelbke et al., Nucl. Phys A219 (1974) 253; G. Baur and H.H. Wolter, Proc. Nashville Conf. 1974; B.Kohlmeyer et al., ibid.; S. Landowne, R.A. Broglia and B. Nilsson, ibid., to be published; H.H. Wolter, this Symposium.

    Google Scholar 

  38. N. Austern et al., Phys. Rev. 133 (1964) B3; F.D. Santos, Nucl.Phys. A212 (1973) 341.

    Google Scholar 

  39. L.R. Dodd and K.R. Greider, Phys. Rev. Lett. 14 (1965) 959; Phys. Rev. 180 (1969) 1187, P.J.A. Buttle and L.J.B. Goldfarb, Nucl. Phys. A176 (1971) 299; M.A. Nagarajan, Nucl. Phys. A196 (1972) 34; R.M. DeVries and K.I. Kubo, Phys. Rev. Lett. 30 (1973) 325; R.M.DeVries, Phys. Rev. C8 (1973) 951; P. Braun-Munzinger and H.L. Harney, Nucl. Phys. A223 (1974)381; A.J. Baltz and S. Kahana, Phys. Rev. C9 (1974) 2243.

    Google Scholar 

  40. T. Tamura and H.H. Wolter, Phys. Rev. C6 (1972) 1976.

    Article  Google Scholar 

  41. K.W. McVoy, Phys. Rev. C3 (1971) 1104; J.T. Londergan and K.W.McVoy, Nucl. Phys. A201(1973) 390; R.C. Fuller, Nucl. Phys. A216 (1973) 199; R.C. Fuller and Y. Avishai, Nucl. Phys. A222 (1974) 365; K.W. McVoy, this Symposium.

    Google Scholar 

  42. R.C. Fuller and O.Dragun, Phys. Rev. Lett. 32 (1974) 617.

    Google Scholar 

  43. J. Knoll and R. Schaeffer, Lectures at the Extended Seminar on Nuclear Physics, ICTP, Miramare-Trieste 1973, to be published by IAEA, Vienna; Saclay Report DPh. T/74/31, 1974, to be published.

    Google Scholar 

  44. R. Schaeffer, private communication. *** DIRECT SUPPORT *** A3418027 00003

    Google Scholar 

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Authors and Affiliations

  1. Physics Department, University of Cape Town, Rondebosch (Cape), 7700, South Africa

    W. E. Frahn

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  1. W. E. Frahn
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Editor information

Hanns Ludwig Harney Peter Braun-Munzinger Claus Konrad Gelbke

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© 1975 Springer-Verlag

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Frahn, W.E. (1975). Wave mechanical aspects of heavy ion collisions. In: Harney, H.L., Braun-Munzinger, P., Gelbke, C.K. (eds) Classical and Quantum Mechanical Aspects of Heavy Ion Collisions. Lecture Notes in Physics, vol 33. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-07025-7_7

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  • DOI: https://doi.org/10.1007/3-540-07025-7_7

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-07025-2

  • Online ISBN: 978-3-540-37313-1

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